CN114969892A - Method and system for defining and quantifying contact mode of crushed stone granules and storage medium - Google Patents

Method and system for defining and quantifying contact mode of crushed stone granules and storage medium Download PDF

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CN114969892A
CN114969892A CN202210417488.2A CN202210417488A CN114969892A CN 114969892 A CN114969892 A CN 114969892A CN 202210417488 A CN202210417488 A CN 202210417488A CN 114969892 A CN114969892 A CN 114969892A
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CN114969892B (en
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李宁
蒲广宁
袁阳光
王晓威
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Xian University of Architecture and Technology
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Abstract

A method, a system and a storage medium for defining and quantifying the contact mode of crushed stone particles, wherein the defining and quantifying method comprises the following steps: obtaining a three-dimensional space structure of the crushed stone granules, calculating the particle coordination number of the crushed stone granules, and determining central particles and coordination particles; respectively manufacturing normal lines of the two particles and tangent planes perpendicular to the normal lines at the contact positions of the central particle and the coordination particles, and calculating the parameter values of the two normal lines and the tangent planes according to the expressions of the normal lines and the tangent planes corresponding to the two particles; comparing the parameter values of the two normal lines and the tangent plane, and determining the contact mode of the coordination particles and the central particles. The contact mode of the coordination particles and the central particles which can be determined by the method is richer, the good physical and mechanical properties of the crushed stone aggregates can be truly reflected, the particle contact mode of the crushed stone aggregates under different material compositions and forming processes can be judged by the method, a foundation is laid for analyzing the physical and mechanical properties of the crushed stone aggregates, and conditions are provided for realizing scientific application of the crushed stone aggregates.

Description

Method and system for defining and quantifying contact mode of crushed stone granules and storage medium
Technical Field
The invention belongs to the technical field of road engineering, and particularly relates to a defining quantification method and system for a contact mode of crushed stone granules and a storage medium.
Background
The crushed stone particles are main materials for road engineering construction, microscopic parameters such as particle shapes and particle diameters of the crushed stone particles have a decisive effect on the physical and mechanical properties of the crushed stone particles, and the contact mode between the particles is an important microscopic parameter. However, real crushed stone particles take the shape of a polyhedron and are composed of a plurality of different surfaces, and the contact mode between the particles is no longer only point-point contact. The contact mode which can exist between the two contact particles is as follows: point-point type, point-line type, point-surface type, line-line type, line-surface type, and surface-surface type.
Compared with point-point contact, surface contact and line contact are more favorable for improving the stability of the aggregate structure of the crushed stones and increasing the resistance of movement and recombination of the particles, so that the deformation resistance of the aggregate structure of the crushed stones is improved. Therefore, the point-point contact is adopted to describe the contact relation among the particles, which is too simple, and the good physical and mechanical properties of the broken stone aggregate cannot be truly reflected. Therefore, the contact mode among the particles needs to be accurately defined and quantified, so that an effective way is provided for improving the physical and mechanical properties of the broken stone aggregate structure.
Disclosure of Invention
The invention aims to solve the problem that the prior art only adopts point-point description on the contact mode of the aggregate particles of crushed stones and lacks quantification of the actual multiple contact mode boundaries, provides a method, a system and a storage medium for defining quantification of the contact mode of the aggregate particles of crushed stones, and provides a way for researching the influence mechanism and performance improvement of the physical and mechanical properties of the aggregate particles of crushed stones.
In order to achieve the purpose, the invention has the following technical scheme:
in a first aspect, there is provided a method for defining and quantifying the contact mode of aggregate particles of crushed stone, comprising the following steps:
obtaining a three-dimensional space structure of the crushed stone granules, calculating the particle coordination number of the crushed stone granules, and determining central particles and coordination particles;
respectively manufacturing normal lines of the two particles and tangent planes perpendicular to the normal lines at the contact positions of the central particle and the coordination particles, and calculating the parameter values of the two normal lines and the tangent planes according to the expressions of the normal lines and the tangent planes corresponding to the two particles;
comparing the parameter values of the two normal lines and the tangent plane, and determining the contact mode of the coordination particles and the central particles.
In a preferable embodiment of the method for quantifying the contact of crushed stone granules according to the present invention, in the step of obtaining the three-dimensional space structure of crushed stone granules and calculating the coordination number of the crushed stone granules, all the particles of the crushed stone granules are convex polyhedral particles, and the coordination number of the particles having a particle size of greater than 4.75mm is calculated.
In a preferable embodiment of the method for determining the amount of the contact of the crushed stone aggregate particles according to the present invention, in the step of determining the center particle and the coordinated particle, coordinates of a contact point between the center particle and the coordinated particle and coordinates of a vertex of a surface or a side of the center particle in contact with the coordinated particle are determined.
As a preferable aspect of the method for defining and quantifying the contact mode of the crushed stone granule particles of the present invention, in the step of preparing the normal lines of the two particles and the tangent plane perpendicular to the normal lines at the contact position of the center particle and the coordination particle, respectively, and calculating the parameter values of the two normal lines and the tangent plane according to the expressions of the normal lines and the tangent plane corresponding to the two particles:
the expression of the normal line for the two particles is as follows:
Figure BDA0003606597310000021
Figure BDA0003606597310000022
the expression of the corresponding section of the two particles is as follows:
A 1 x+B 1 y+C 1 z+D 1 =0
A 2 x+B 2 y+C 2 z+D 2 =0
wherein (x, y, z) is the coordinate of the substitution point on the normal line or tangent plane, (x) 0 ,y 0 ,z 0 ) Contact point coordinates for the particle; (m) 1 ,n 1 ,p 1 ) Is the vector of the normal direction at the contact point of the central particles; (m) 2 ,n 2 ,p 2 ) Is the vector of the normal direction at the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 ) Is the normal vector of the tangent plane at the contact point of the central particle; (A) 2 ,B 2 ,C 2 ) Is the normal vector of the tangent plane at the contact point of the coordination particles; d 1 As parameters of tangent plane at the contact point of the central particle, D 2 Is a tangent plane parameter at the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 )、(A 2 ,B 2 ,C 2 )、D 1 、D 2 Determined by the coordinates of the apex of the face or edge of the central particle in contact with the coordinating particle.
As a preferred embodiment of the method for defining and quantifying the contact mode of the crushed stone granule particles of the present invention, the principle of comparing the parameter values of the two normal lines and the tangent plane to determine the contact mode of the coordination particles and the center particles comprises:
if a plurality of parameter values exist in both the two normals, the contact position is indicated as a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value in the two normals is unique, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersection line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; and the plane corresponding to the normal of the unique parameter value has more than two intersecting lines with the edge of the particle, and then the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if both the two normal lines have only one unique normal line, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
Further, as a preferable embodiment of the method for defining and quantifying the contact pattern of the crushed stone granules according to the present invention, the contact length is calculated for the line-line contact and the line-surface contact of the two granules, and the contact area is calculated for the surface-surface contact of the two granules, and the optimal granule contact pattern is determined according to the contact length and the contact area.
In a second aspect, there is provided a system for defining and quantifying contact pattern of aggregate particles of crushed stone, comprising:
the coordination particle determination module is used for acquiring a three-dimensional space structure of the crushed stone particles, calculating the particle coordination number of the crushed stone particles and determining a central particle and coordination particles;
the normal and tangent plane parameter value calculation module is used for respectively manufacturing the normal of the two particles and the tangent plane perpendicular to the normal at the contact position of the central particle and the coordination particle, and calculating the parameter values of the two normal and tangent planes according to the expressions of the normal and tangent plane corresponding to the two particles;
and the contact mode determining module is used for comparing the parameter values of the two normal lines and the tangent plane and determining the contact mode of the coordination particles and the central particles.
As a preferable scheme of the system of the present invention, the particles of the crushed stone granules obtained by the coordination particle determination module are convex polyhedral particles, and the coordination number calculation is performed on the particles with a particle size of more than 4.75 mm.
As a preferable embodiment of the system of the present invention, the contact mode determining module determines the contact mode of the coordination particle and the center particle according to the following principle:
if a plurality of parameter values exist in both normal lines, the contact position is a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersection line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; and the plane corresponding to the normal of the unique parameter value has more than two intersecting lines with the edge of the particle, and then the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if only one normal line exists in the two normal lines, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
In a third aspect, a computer-readable storage medium is provided, in which a computer program is stored which, when being executed by a processor, carries out the steps of the method for the quantitative definition of the contact pattern of aggregate particles of crushed stone.
Compared with the prior art, the invention has the following beneficial effects:
the method for defining and quantifying the contact mode of the granules of the crushed stone comprises the steps of respectively manufacturing the normal lines of two granules and the tangent plane perpendicular to the normal lines at the contact position of the central granules and the coordination granules, calculating the parameter values of the two normal lines and the tangent plane according to the expressions of the normal lines and the tangent plane corresponding to the two granules, and finally comparing the parameter values of the two normal lines and the tangent plane, so that the contact mode of the coordination granules and the central granules is determined, the geometric relation among the granules can be analyzed according to the morphological characteristics of the crushed stone granules and the contact relation of the spatial granules, and the real crushed stone granules are in a polyhedral shape. The contact mode between the particles is not only point-point contact, but also the actual conditions of point-point contact, point-line contact, point-surface contact, line-line contact, line-surface contact and surface-surface contact can exist.
Furthermore, the method for defining quantification of the invention compares the parameter values of the two normal lines and the tangent plane, determines the contact mode of the coordination particles and the central particles, has the advantages of simple calculation principle and clear geometric relationship, can accurately define the contact mode among the particles, the length and the contact area of the line-surface contact, and can determine the optimal particle contact mode according to the contact length and the contact area.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required to be used in the embodiments are briefly described below, it should be understood that the following drawings only show some embodiments of the present invention, and it is obvious to those skilled in the art that other related drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic representation of the contacting of a core particle with a coordinating particle in an embodiment of the present invention;
FIG. 2 is a flow chart of the method of determining the contact of the coordinating particles with the central particles according to the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention.
Based on the embodiments of the present invention, those skilled in the art can make several simple modifications and decorations without creative efforts, and all other embodiments obtained belong to the protection scope of the present invention.
Reference in the present specification to "an example" means that a particular feature, structure, or characteristic described in connection with the example may be included in at least one embodiment of the invention. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is explicitly and implicitly understood by a person skilled in the art that the embodiments described in the present invention can be combined with other embodiments.
Example 1
A method for defining and quantifying contact mode of crushed stone particles comprises the following steps:
step one, obtaining a three-dimensional space structure of the crushed stone granules, calculating the particle coordination number of the crushed stone granules, and determining a central particle 1 and a coordination particle 2;
secondly, respectively manufacturing normal lines 6 and 7 of the two particles and tangent planes 4 and 5 perpendicular to the normal lines at the contact positions of the central particle 1 and the coordination particles 2, and calculating the parameter values of the two normal lines and the tangent planes according to the expressions corresponding to the normal lines and the tangent planes;
and step three, comparing the parameter values of the two normal lines and the tangent plane, and determining the contact mode of the coordination particles and the central particles.
In a possible embodiment, the particles of the crushed stone granules obtained in step one are convex polyhedral particles, and in this example, the coordination number of the particles with the particle size of more than 4.75mm is calculated, and the coordinates of the contact point of the central particle and the coordination particle and the vertex coordinates of the surface or edge of the central particle and the coordination particle which are in contact are determined.
Referring to fig. 1, in step two of this embodiment, the expression of the normal lines corresponding to two particles is as follows:
Figure BDA0003606597310000071
Figure BDA0003606597310000072
the expression of the corresponding section of the two particles is as follows:
A 1 x+B 1 y+C 1 z+D 1 =0
A 2 x+B 2 y+C 2 z+D 2 =0
wherein (x, y, z) is the coordinate of the substitution point on the normal line or tangent plane, (x) 0 ,y 0 ,z 0 ) Contact point coordinates for the particle; (m) 1 ,n 1 ,p 1 ) Is the vector of the normal direction at the contact point of the central particles; (m) 2 ,n 2 ,p 2 ) Is the vector of the normal direction at the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 ) Is the normal vector of the tangent plane at the contact point of the central particle; (A) 2 ,B 2 ,C 2 ) Is the normal vector of the tangent plane at the contact point of the coordination particles; d 1 As parameters of tangent plane at the contact point of the central particle, D 2 Is a tangent plane parameter at the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 )、(A 2 ,B 2 ,C 2 )、D 1 、D 2 Determined by the coordinates of the vertices of the faces or edges where the central particle and the coordinating particle are in contact.
Referring to fig. 2, the principle of determining the contact manner of the coordination particle 2 and the central particle 1 in step three of the present embodiment includes:
if a plurality of parameter values exist in both the two normals, the contact position is indicated as a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value in the two normals is unique, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersecting line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; and the plane corresponding to the normal of the unique parameter value has more than two intersecting lines with the edge of the particle, and then the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if both the two normal lines have only one unique normal line, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
Further, calculating the contact length of the two particles in line-line contact and line-surface contact, and determining the optimal particle contact mode according to the contact length and the contact area if the two particles are in surface-surface contact.
Example 2
Referring to fig. 1, the coordinate of 3 at the contact position of the center particle 1 with the coordinating particle 2 is (23,14,6), and the normal expression of the center particle 1 at the contact position 3 is:
Figure BDA0003606597310000081
the normal line of the coordination particle 2 at the contact position 3 is not unique, and the central particle and the coordination particle can be judged to be in a point-line type or a point-plane type; further, the tangent plane of the center particle 1 at the contact position 3 is calculated by the expression: 6x-3y-z-90 is 0, the expression of 3 planes or straight lines at the contact position of the center particle 1 is calculated from the particle apex, the expression of 6x-3y-z-90 is 0, which coincides with the tangent plane, and thus it is determined as point-plane contact.
Example 3
Another embodiment provides a system for defining and quantifying contact between aggregate particles of crushed stone, comprising:
the coordination particle determination module is used for acquiring a three-dimensional space structure of the crushed stone particles, calculating the particle coordination number of the crushed stone particles and determining a central particle and coordination particles;
the normal and tangent plane parameter value calculation module is used for respectively manufacturing the normal of the two particles and the tangent plane perpendicular to the normal at the contact position of the central particle and the coordination particle, and calculating the parameter values of the two normal and tangent planes according to the expressions of the normal and tangent plane corresponding to the two particles;
and the contact mode determining module is used for comparing the parameter values of the two normal lines and the tangent plane and determining the contact mode of the coordination particles and the central particles.
In an embodiment of this embodiment, all the particles of the crushed stone granules obtained by the coordination particle determination module are convex polyhedral particles, and the coordination number calculation is performed on the particles with a particle size of greater than 4.75 mm.
In an embodiment of this embodiment, the contact mode determining module determines the contact mode of the coordination particle and the center particle according to the following principle:
if a plurality of parameter values exist in both the two normals, the contact position is indicated as a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value in the two normals is unique, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersecting line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; and the plane corresponding to the normal of the unique parameter value has more than two intersecting lines with the edge of the particle, and then the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if both the two normal lines have only one unique normal line, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
Example 4
A computer-readable storage medium, storing a computer program which, when executed by a processor, implements the steps of the method for quantifying the extent of exposure of aggregate particles to crushed stone particles of example 1.
According to the invention, the particle contact mode of the crushed stone granules under different material compositions and forming processes can be judged, a foundation is laid for analyzing the physical and mechanical properties of the crushed stone granules, and conditions are provided for realizing scientific application of the crushed stone granules.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-mentioned division of the functional units and modules is illustrated, and in practical applications, the above-mentioned function distribution may be performed by different functional units and modules according to needs, that is, the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-mentioned functions. Each functional unit and module in the embodiments may be integrated in one processing unit, or each unit may exist alone physically, or two or more units are integrated in one unit, and the integrated unit may be implemented in a form of hardware, or in a form of software functional unit. In addition, specific names of the functional units and modules are only for convenience of distinguishing from each other, and are not used for limiting the protection scope of the present application. For the specific working processes of the units and modules in the system, reference may be made to the corresponding processes in the foregoing method embodiments, which are not described herein again.
The integrated unit, if implemented in the form of a software functional unit and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, all or part of the processes in the methods of the embodiments described above can be implemented by a computer program, which can be stored in a computer-readable storage medium and can implement the steps of the embodiments of the methods described above when the computer program is executed by a processor. Wherein the computer program comprises computer program code, which may be in the form of source code, object code, an executable file or some intermediate form, etc. The computer readable medium may include at least: any entity or device capable of carrying computer program code to a photographing apparatus/terminal apparatus, a recording medium, computer Memory, Read-Only Memory (ROM), Random Access Memory (RAM), an electrical carrier signal, a telecommunications signal, and a software distribution medium. Such as a usb-disk, a removable hard disk, a magnetic or optical disk, etc.
In the above embodiments, the descriptions of the respective embodiments have respective emphasis, and reference may be made to the related descriptions of other embodiments for parts that are not described or illustrated in a certain embodiment.
The above-mentioned embodiments are only used for illustrating the technical solutions of the present application, and not for limiting the same; although the present application has been described in detail with reference to the foregoing embodiments, it should be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; such modifications and substitutions do not substantially depart from the spirit and scope of the embodiments of the present application and are intended to be included within the scope of the present application.

Claims (10)

1. A method for defining and quantifying the contact mode of crushed stone particles is characterized by comprising the following steps:
obtaining a three-dimensional space structure of the crushed stone granules, calculating the particle coordination number of the crushed stone granules, and determining central particles and coordination particles;
respectively manufacturing normal lines of the two particles and tangent planes perpendicular to the normal lines at the contact positions of the central particle and the coordination particles, and calculating the parameter values of the two normal lines and the tangent planes according to the expressions of the normal lines and the tangent planes corresponding to the two particles;
comparing the parameter values of the two normal lines and the tangent plane, and determining the contact mode of the coordination particles and the central particles.
2. The method for defining and quantifying the contact mode of the crushed stone granules according to claim 1, wherein in the step of obtaining the three-dimensional space structure of the crushed stone granules and calculating the coordination number of the particles of the crushed stone granules, the particles of the crushed stone granules are all convex polyhedral particles, and the coordination number calculation is carried out on the particles with the particle size of more than 4.75 mm.
3. The method for the quantitative definition of the contact pattern of aggregate particles of crushed stone according to claim 1, wherein in the step of determining the center particle and the coordinated particle, the coordinates of the contact point of the center particle and the coordinated particle and the coordinates of the vertex of the surface or edge of the center particle in contact with the coordinated particle are determined.
4. The method for defining and quantifying contact mode of aggregate particles of crushed stones according to claim 3, wherein in the step of making normal lines and tangent planes perpendicular to the normal lines of two particles at the contact position of the central particle and the coordination particle, respectively, and calculating the parameter values of the two normal lines and the tangent planes according to the expressions of the normal lines and the tangent planes corresponding to the two particles:
the expression of the normal line for the two particles is as follows:
Figure FDA0003606597300000011
Figure FDA0003606597300000012
the expression of the corresponding cut planes for the two particles is as follows:
A 1 x+B 1 y+C 1 z+D 1 =0
A 2 x+B 2 y+C 2 z+D 2 =0
wherein (x, y, z) is the coordinate of the substitution point on the normal line or tangent plane, (x) 0 ,y 0 ,z 0 ) Contact point coordinates for the particle; (m) 1 ,n 1 ,p 1 ) Is the vector of the normal direction at the contact point of the central particles; (m) 2 ,n 2 ,p 2 ) Is the vector of the normal direction at the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 ) Is the normal vector of the tangent plane at the contact point of the central particle; (A) 2 ,B 2 ,C 2 ) Is the normal vector of the tangent plane at the contact point of the coordination particles; d 1 As parameters of tangent plane at the contact point of the central particle, D 2 Is the tangent plane parameter of the contact point of the coordination particles; (A) 1 ,B 1 ,C 1 )、(A 2 ,B 2 ,C 2 )、D 1 、D 2 Determined by the coordinates of the vertices of the faces or edges where the central particle and the coordinating particle are in contact.
5. The method for defining and quantifying contact mode of aggregate particles of crushed stones according to claim 1, wherein the principle of determining the contact mode of coordination particles and center particles by comparing the parameter values of the two normal lines and the tangent plane comprises:
if a plurality of parameter values exist in both the two normals, the contact position is indicated as a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value in the two normals is unique, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersecting line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; and the plane corresponding to the normal of the unique parameter value has more than two intersecting lines with the edge of the particle, and then the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if both the two normal lines have only one unique normal line, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
6. The method of claim 5, wherein the contact length is calculated for line-to-line contact and line-to-surface contact of the two particles, and the contact area is calculated for surface-to-surface contact of the two particles, and the optimal particle contact pattern is determined based on the contact length and the contact area.
7. A system for defining and quantifying the contact pattern of aggregate particles of crushed stone, comprising:
the coordination particle determination module is used for acquiring a three-dimensional space structure of the crushed stone particles, calculating the particle coordination number of the crushed stone particles and determining central particles and coordination particles;
the normal and tangent plane parameter value calculation module is used for respectively manufacturing the normal of the two particles and the tangent plane perpendicular to the normal at the contact position of the central particle and the coordination particle, and calculating the parameter values of the two normal and tangent planes according to the expressions of the normal and tangent plane corresponding to the two particles;
and the contact mode determining module is used for comparing the parameter values of the two normal lines and the tangent plane and determining the contact mode of the coordination particles and the central particles.
8. The system for defining and quantifying the contact mode of the crushed stone granules according to claim 7, wherein the particles of the crushed stone granules obtained by the coordination particle determination module are all convex polyhedral particles, and the coordination number calculation is performed on the particles with the particle size of more than 4.75 mm.
9. The system for defining and quantifying contact modes of aggregate particles of crushed stones according to claim 7, wherein the contact mode determining module determines the contact mode of the coordination particles and the center particles according to the following principle:
if a plurality of parameter values exist in both normal lines, the contact position is a point, and then the two particles are judged to be in point-point contact;
if only one normal parameter value in the two normals is unique, the other normal parameter value is not unique; if the plane corresponding to the normal of the unique parameter value has only one intersecting line with the edge of the particle, the two particles are judged to be in point-line contact;
if only one normal parameter value is unique in the two normals, the other normal parameter value is not unique; if more than two intersecting lines exist between the plane corresponding to the normal of the unique parameter value and the edge of the particle, the two particles are judged to be in point-surface contact;
if both the two normals have only one unique normal, two planes have only one intersecting line with the edge of the particles, and two planes have only one intersecting line, the two particles are judged to be in line-line contact;
if both the two normal lines have only one unique normal line, one plane has only one intersection line with the edge of the particle, the other plane has more than two intersection lines with the edge of the particle, and the two planes have only one intersection line, the two particles are judged to be in line-surface contact;
and sixthly, if only one unique normal line exists in the two normal lines, more than two intersecting lines exist between the two planes and the edge of the particle, and the two planes are superposed, the two particles are judged to be in surface-to-surface contact.
10. A computer-readable storage medium storing a computer program, characterized in that: the computer program when executed by a processor implements the steps of a method for the defined quantification of contact pattern of aggregate particles of crushed stone according to any one of claims 1 to 6.
CN202210417488.2A 2022-04-20 2022-04-20 Method, system and storage medium for defining and quantifying contact mode of crushed stone granule particles Active CN114969892B (en)

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