CN106874600B - The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with - Google Patents
The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with Download PDFInfo
- Publication number
- CN106874600B CN106874600B CN201710086411.0A CN201710086411A CN106874600B CN 106874600 B CN106874600 B CN 106874600B CN 201710086411 A CN201710086411 A CN 201710086411A CN 106874600 B CN106874600 B CN 106874600B
- Authority
- CN
- China
- Prior art keywords
- cobble
- aggregate
- rubble
- random
- model
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
Abstract
The invention discloses a kind of methods for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with, wherein the concrete two-dimensional random aggregate model of only cobble or only rubble is the special circumstances for the concrete two-dimensional random aggregate model that the cobble and rubble are mingled with；This method combines round random retainer model and Thiessen polygon figure with boundary, generates the Thiessen polygon figure that approximation meets grading of aggregates by control point of the center of circle of circular aggregate；For the present invention using the vertex of each Thiessen polygon as control point, the closed B-spline curves of parallel generation characterize the shape of cobble aggregate, uniformly take a little at random in closed B-spline curves, to generate convex polygon to characterize the shape of crushed stone aggregate.The present invention uses parallel form, while carrying out area scaling to the aggregate in each Thiessen polygon, quickly generates the concrete two-dimensional random aggregate model of the cobble and rubble arbitrary inclusion that meet given gradation.
Description
Technical field
The invention belongs to concrete mesoscopic numerical simulation pretreatment technology field, specifically one kind quickly generates cobble
The method for the concrete two-dimensional random aggregate model that rubble is mingled with.
Background technique
Concrete is a kind of inhomogeneous composite materials being made of aggregate and cement mortar, wherein the shape of aggregate and space
The distribution of position has larger impact to the performance of material.With the continuous development of computer technology with correlation values computing technique
It is constantly mature, consider the Random Aggregate of Concrete mould of the internal microstructures such as aggregate shape, gradation and mortar interface in concrete
Type starts to be used, the thin sight failure mechanism for research material.Currently, being reduced to round by aggregate and using Monte Carlo side
Method is launched in cross section at random, ultimately generate concrete circular random retainer model method have comparative maturity and often
See, but it is relevant studies have shown that the shape and type of aggregate also have a certain impact to calculated result.
Also having at present using the methods of convex polygon or the description of Fourier's indicates aggregate shape, i.e. generation aggregate, then
The aggregate of generation is launched to the method in concrete section region one by one using the method for Monte Carlo.Due to using aggregate by
The mode of a dispensing needs to judge repeatedly that the overlap problem between aggregate, aggregate are irregular particle, and setting is arrived in aggregate dispensing
Behind position, need to judge whether be overlapped between aggregate, if overlapping needs to launch again, therefore cause: 1. time-consuming for calculating, consumption
When a few minutes to dozens of minutes etc.；2. CPU expends greatly, slowly, computer fever noise is big for computer operation；3. and being difficult to realize simultaneously
Row processing, 4. aggregate is launched content (ratio that the area of aggregate accounts for the area in entire concrete section region) relatively low wait and is limited to
Property, it may not be inconsistent with actual ratio.
Summary of the invention
The purpose of the present invention is to provide a kind of concrete two-dimensional random aggregate models for quickly generating cobble rubble and being mingled with
Method.Operation of the present invention step is simple, design is reasonable, realizes that convenient, using effect is good, and input cost is not high.And this
What invention was established quickly generate, and that the concrete two-dimensional random aggregate model that cobble and rubble be mingled with calculates is time-consuming short, can be preferable
Applied in numerical simulation.
To solve the above-mentioned problems, in view of the shortcomings of the prior art present invention provide the technical scheme that
A method of quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with, including only have cobble or
The only any mashed up concrete two dimension of both special concrete two-dimensional random aggregate models of rubble and cobble and rubble
Random retainer model.Two-dimensional random aggregate product process figure is shown in Fig. 1.
The present invention combines round random retainer model and Thiessen polygon figure with boundary, will be in Thiessen polygon figure
Outer boundary of each polygon cavity as particles of aggregates, controls Thailand by the position distribution of the centre point of round Random Aggregate
The size distribution of polygon cavity in gloomy polygon diagram.The process launched after this method and traditional first aggregate is on the contrary, be first fixed
Aggregate is generated behind the band of position of position aggregate, so as to parallel computation, reaches quick purpose.The invention simultaneously is with each Thailand
The vertex of gloomy polygon characterizes cobble as control point, using closed B-spline curves, random on closed B-spline curves
It uniformly takes and generates convex polygon a little to characterize rubble, specified gradation requirement is met in such a way that area scales.Simultaneously
The two-dimentional Random Aggregate of Concrete mould of cobble and rubble arbitrary proportion can be generated by setting cobble and rubble number ratio
Type, only cobble or rubble are its special circumstances.
The present invention relies on " special funded projects are planned in state key research and development ", project number " 2016YFC0701400 ", purport
Meso-level simulation and analysis are carried out peeling off to assembly concrete component protective layer under hot conditions.
The specific technical solution of the present invention is as follows:
A method of quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with, comprising the following steps:
Step 1, according to given grading of aggregates and cross section size, using Monte Carlo method generate two-dimensional circular with
Machine aggregate illustraton of model finally obtains the centre point coordinate and area of each circular aggregate；
Step 2, Tyson of the central coordinate of circle generation with boundary according to all aggregates in round random retainer model figure is polygon
Shape figure；
Step 3, using the vertex of each Thiessen polygon as control point, parallel generation closes B-spline curves, finally obtains envelope
B-spline curves figure is closed, and calculates the area for respectively closing B-spline curves in figure；
Step 4, aggregate model is established, is accomplished by
Setting cobble number m and rubble number n, m, n is random natural number (0,1,2,3 ...), and in all particless of aggregates
Middle carry out random sampling, so that it is determined that the cobble of each aggregate or rubble type:
4.1, when setting rubble number n=0, whole aggregates are all cobble at this time, and it is corresponding to scale each centre point coordinate
The area for closing B-spline curves makes the area be equal to the circular aggregate in two-dimensional circular random retainer model figure at same coordinate
Area, obtain using closing B-spline curves description cobble aggregate model；
4.2, when setting cobble number m=0, whole aggregates are all rubble at this time, in the corresponding envelope of each centre point coordinate
It closes on B-spline curves and uniformly takes a little at random, so that convex polygon is generated, then centered on the centroid of the convex polygon, scaling
The area of corresponding closing B-spline curves, makes the area be equal to the circle in two-dimensional circular random retainer model figure at same coordinate
The area of shape aggregate obtains the crushed stone aggregate model using convex polygon description；
4.3, when setting cobble number m ≠ 0 and rubble number n ≠ 0, cobble and rubble are mingled at this time, first according to pre-
The concrete two dimension cobble and rubble of foundation are mingled with cobble and rubble number proportion in random retainer model；Then in entirety
The cobble and rubble of corresponding ratio are randomly selected in particles of aggregates；Finally according to the method in step 4.1 to the envelope for representing cobble
It closes B-spline curves to be handled, and the closing B-spline curves for representing rubble is handled according to the method in step 4.2, most
Two-dimentional cobble rubble is obtained eventually is mingled with random retainer model.
In step 4.1, the area specific implementation for scaling the corresponding closing B-spline curves of each centre point coordinate is as follows:
The ratio of the area of the corresponding circular aggregate of each centre point coordinate with the area of corresponding closing B-spline curves is calculated,
Centered on closing B-spline curves centroid, by the size of this scaling closing B-spline curves.
Compared with prior art, the beneficial effects of the present invention are:
1. by the method for the invention, can establish both special concrete two dimension of only cobble or only rubble
Random retainer model and any mashed up concrete two-dimensional random aggregate model of cobble and rubble；
2. the method for the present invention can adjust the rubble of setting and the number ratio of cobble, generate different rubbles and cobble content
Concrete two-dimensional random aggregate model；
3. the method for the present invention launches ball aggregate to concrete section region using elder generation, then generates inside aggregate and do not advise
The then aggregate of shape would not be also overlapped, between aggregate not since circular aggregate is not overlapped in the irregular aggregate that inside generates
It will appear overlap problem, therefore calculating is time-consuming short, time-consuming is only several seconds, and CPU consuming is small, and calculating step is simple, design
Rationally, it is convenient to realize；The method of the present invention can characterize the aggregate shape of specified grading, and the shape of aggregate is truer；This method is adopted
Irregular aggregate is generated in inside again with circular aggregate is first launched, can be to avoid the overlapped required judgement of aggregate, therefore throw
Enter at low cost；The method of the present invention is able to achieve parallel computation, is specifically shown in Fig. 1.
4. the concrete two-dimensional random aggregate model that the present invention establishes can be good at being applied to during numerical value calculates, can be with
Applied in finite element modelling and multiple physical field coupling model, being the basis that concrete material and structure carefully see analysis.
Detailed description of the invention
Fig. 1 is two-dimensional random aggregate product process figure of the invention；
Fig. 2 is that the use Monte Carlo method of the embodiment of the present invention one, two, three generates two-dimensional circular random retainer model
Figure；
Fig. 3 is the Thiessen polygon figure of the embodiment of the present invention one, two, three；
Fig. 4 is the closing B-spline curves figure of the embodiment of the present invention one, two, three；
Fig. 5 is the two-dimentional cobble random retainer model figure of the embodiment of the present invention one；
Fig. 6 is the two-dimentional rubble random retainer model figure of the embodiment of the present invention two；
Fig. 7 is the cobble of the embodiment of the present invention three and the two-dimensional random aggregate illustraton of model that rubble is arbitrarily arranged in pairs or groups.
Specific embodiment
In order to further explain technical solution of the present invention, to carry out invention below by specific embodiment detailed
It illustrates:
Embodiment one
The purpose of the present embodiment is to generate the concrete two-dimensional random aggregate model for there was only cobble, belongs to the method for the present invention
A kind of special case.
1. according to grading of aggregates and cross section size is given, wherein grading of aggregates is graduation two, aggregate size model
Enclose for 5 ~ 20mm and 20 ~ 40mm, cross section size 500mm × 250mm, using Monte Carlo method generate two-dimensional circular with
Machine aggregate illustraton of model finally obtains the centre point coordinate and area of each circular aggregate, sees Fig. 2, and circular aggregate number is 253
It is a；
2. generating the Thiessen polygon with boundary according to the central coordinate of circle of all aggregates in round random retainer model figure
Figure, is shown in Fig. 3；
3. the closed B-spline curves of parallel generation simultaneously calculate its face using the vertex of each Thiessen polygon as control point
Product, is shown in Fig. 4；
4. establishing aggregate model, it is accomplished by
Setting cobble number m and rubble number n, m, n is random natural number (0,1,2,3 ...), and in all particless of aggregates
Middle carry out random sampling, so that it is determined that the type of each aggregate, that is, determine that each aggregate is cobble or rubble；When setting cobble
Number m=253, at rubble number n=0, whole aggregates are all cobble at this time.Scale the corresponding closing B of each centre point coordinate
The area of spline curve, the face for the circular aggregate for being equal to the area in two-dimensional circular random retainer model figure at same coordinate
Product obtains seeing Fig. 5 using the cobble aggregate model of closing B-spline curves description.Above-mentioned scaling area method particularly includes: meter
The ratio of the area of the corresponding circular aggregate of each centre point coordinate with the area of corresponding closing B-spline curves is calculated, to close B-spline
Centered on curve centroid, by the size of this scaling closing B-spline curves；
Embodiment two
The purpose of the present embodiment is to generate the concrete two-dimensional random aggregate model for there was only rubble, belongs to the method for the present invention
Another special case.
1. according to grading of aggregates and cross section size is given, wherein grading of aggregates is graduation two, aggregate size model
Enclose for 5 ~ 20mm and 20 ~ 40mm, cross section size 500mm × 250mm, using Monte Carlo method generate two-dimensional circular with
Machine aggregate illustraton of model finally obtains the centre point coordinate and area of each circular aggregate, sees Fig. 2, and circular aggregate number is 253
It is a；
2. generating the Thiessen polygon with boundary according to the central coordinate of circle of all aggregates in round random retainer model figure
Figure, is shown in Fig. 3；
3. the closed B-spline curves of parallel generation simultaneously calculate its face using the vertex of each Thiessen polygon as control point
Product, is shown in Fig. 4；
4. establishing aggregate model, it is accomplished by
Setting cobble number m and rubble number n, m, n is random natural number (0,1,2,3 ...), and in all particless of aggregates
Middle carry out random sampling, so that it is determined that the type of each aggregate, that is, determine that each aggregate is cobble or rubble；When setting cobble
Number m=0, when rubble number n=253, whole aggregates are all rubble at this time, in the corresponding closing B sample of each centre point coordinate
It uniformly takes a little on curve, to generate convex polygon, then centered on the centroid of the convex polygon, scales corresponding at random
The area for closing B-spline curves makes the area be equal to the circular aggregate in two-dimensional circular random retainer model figure at same coordinate
Area, obtain using convex polygon description crushed stone aggregate model, see Fig. 6；
Embodiment three
The purpose of the present embodiment is the concrete two-dimensional random aggregate model for generating cobble and rubble and being mingled with, and belongs to the present invention
The conventional situation of method.
1. according to grading of aggregates and cross section size is given, wherein grading of aggregates is graduation two, aggregate size model
Enclose for 5 ~ 20mm and 20 ~ 40mm, cross section size 500mm × 250mm, using Monte Carlo method generate two-dimensional circular with
Machine aggregate illustraton of model finally obtains the centre point coordinate and area of each circular aggregate, sees Fig. 2, and circular aggregate number is 253
It is a；
2. generating the Thiessen polygon with boundary according to the central coordinate of circle of all aggregates in round random retainer model figure
Figure, is shown in Fig. 3；
3. the closed B-spline curves of parallel generation simultaneously calculate its face using the vertex of each Thiessen polygon as control point
Product, is shown in Fig. 4；
4. establishing aggregate model, it is accomplished by
Setting cobble number m and rubble number n, m, n is random natural number (1,2,3 ...), and in all particless of aggregates
Random sampling is carried out, so that it is determined that the type of each aggregate, that is, determine that each aggregate is cobble or rubble；When setting cobble
When number m=126 and rubble number n=127, cobble and rubble are mingled at this time；
Firstly, being mingled with cobble and rubble number in random retainer model according to pre-established concrete two dimension cobble and rubble
Proportion；Then, the cobble and rubble of corresponding ratio are randomly selected in all particless of aggregates；Finally, according to representing ovum
The closing B-spline curves of stone and the closing B-spline curves for representing rubble are handled respectively, it is broken to finally obtain two-dimentional cobble
Stone is mingled with random retainer model, sees Fig. 7.
The above-mentioned processing mode to the closing B-spline curves for representing cobble specifically: it is corresponding to scale each centre point coordinate
The area for closing B-spline curves makes the area be equal to the circular aggregate in two-dimensional circular random retainer model figure at same coordinate
Area, obtain using closing B-spline curves description cobble aggregate model.Above-mentioned scaling area method particularly includes: calculate
The ratio of the area of the corresponding circular aggregate of each centre point coordinate and the area of corresponding closing B-spline curves, to close B-spline song
Centered on the linear heart, by the size of this scaling closing B-spline curves.
The above-mentioned processing mode to the closing B-spline curves for representing rubble specifically: in the corresponding envelope of each centre point coordinate
It closes on B-spline curves and uniformly takes a little at random, so that convex polygon is generated, then centered on the centroid of the convex polygon, scaling
The area of corresponding closing B-spline curves, makes the area be equal to the circle in two-dimensional circular random retainer model figure at same coordinate
The area of shape aggregate.
It is emphasized that embodiment of the present invention be it is illustrative, without being restrictive, therefore the present invention is simultaneously
It is not limited to embodiment described in specific embodiment, it is all to be obtained according to the technique and scheme of the present invention by those skilled in the art
Other embodiments, also belong to the scope of protection of the invention.
It is equal according to technical solution of the present invention on the basis of given any grading of aggregates and any cross section size
The concrete two-dimensional random aggregate model that cobble rubble is mingled with can be quickly generated.
The present invention is equal to circle in the sum of cobble, rubble number when the two-dimentional cobble rubble of foundation is mingled with random retainer model
Under the premise of shape aggregate number, cobble, rubble number can use the arbitrary value for 0.
Other methods can also be used in the present invention, reach will closing B-spline curves area zoom to it is random equal to two-dimensional circular
The purpose of the area of circular aggregate in aggregate illustraton of model at same coordinate.
Claims (1)
1. a kind of method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with, which is characterized in that including
Following steps:
Step 1, according to given grading of aggregates and cross section size, the random bone of two-dimensional circular is generated using Monte Carlo method
Expect illustraton of model, finally obtains the centre point coordinate and area of each circular aggregate；
Step 2, the Thiessen polygon figure with boundary is generated according to the central coordinate of circle of all aggregates in round random retainer model figure；
Step 3, using the vertex of each Thiessen polygon as control point, parallel generation closes B-spline curves, finally obtains closing B
Spline curve figure, and calculate the area that B-spline curves are respectively closed in figure；
Step 4, aggregate model is established, is accomplished by
It sets cobble number m and rubble number n, m, n is random natural number, and carry out random sampling in all particless of aggregates,
So that it is determined that the cobble or rubble type of each aggregate:
4.1, when setting rubble number n=0, whole aggregates are all cobble at this time, scale the corresponding closing B of each centre point coordinate
The area of spline curve, the face for the circular aggregate for being equal to the area in two-dimensional circular random retainer model figure at same coordinate
Product obtains the cobble aggregate model using closing B-spline curves description；It is bent to scale the corresponding closing B-spline of each centre point coordinate
The area specific implementation of line is as follows:
The ratio of the area of the corresponding circular aggregate of each centre point coordinate with the area of corresponding closing B-spline curves is calculated, with envelope
It closes centered on B-spline curves centroid, by the size of this scaling closing B-spline curves；
4.2, when setting cobble number m=0, whole aggregates are all rubble at this time, in the corresponding closing B sample of each centre point coordinate
It uniformly takes a little on curve, to generate convex polygon, then centered on the centroid of the convex polygon, scales corresponding at random
The area for closing B-spline curves makes the area be equal to the circular aggregate in two-dimensional circular random retainer model figure at same coordinate
Area, obtain using convex polygon description crushed stone aggregate model；
4.3, when setting cobble number m ≠ 0 and rubble number n ≠ 0, cobble and rubble are mingled at this time, first according to pre-established
Concrete two dimension cobble and rubble be mingled in random retainer model cobble and rubble number proportion in all particless of aggregates
In randomly select the cobble and rubble of corresponding ratio；Then bent to the closing B-spline for representing cobble according to the method in step 4.1
Line is handled, and is handled according to the method in step 4.2 the closing B-spline curves for representing rubble, finally obtains two
Dimension cobble rubble is mingled with random retainer model.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710086411.0A CN106874600B (en) | 2017-02-17 | 2017-02-17 | The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710086411.0A CN106874600B (en) | 2017-02-17 | 2017-02-17 | The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN106874600A CN106874600A (en) | 2017-06-20 |
| CN106874600B true CN106874600B (en) | 2019-06-25 |
Family
ID=59167289
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710086411.0A Active CN106874600B (en) | 2017-02-17 | 2017-02-17 | The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN106874600B (en) |
Families Citing this family (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108776728A (en) * | 2018-04-24 | 2018-11-09 | 哈尔滨工程大学 | A kind of ice-covered ice water mixed interface emulation mode of water surface floating |
| CN108629142B (en) * | 2018-05-16 | 2020-12-29 | 重庆大学 | Two-dimensional aggregate generation and delivery method capable of controlling polygonal parameters |
| CN110083936B (en) * | 2019-04-26 | 2023-06-16 | 中煤科工集团重庆研究院有限公司 | Method for generating crushable crushed stone particles by considering shape parameters |
| CN112395681A (en) * | 2020-11-30 | 2021-02-23 | 三峡大学 | Numerical model construction method for concrete coarse aggregate, interface transition zone and porosity |
| CN113536629B (en) * | 2021-07-10 | 2024-03-12 | 大连交通大学 | Bone scaffold model construction method based on space Thiessen polygonal net structure |
| CN117556675B (en) * | 2024-01-11 | 2024-04-09 | 中南大学 | Rapid modeling method and system for three-dimensional concrete random aggregate model |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2000039414A1 (en) * | 1998-12-28 | 2000-07-06 | Boldoghy Bela | Multipurpose lightened building structure, basic element and skeletal frame, and production methods thereof |
| CN102745963A (en) * | 2012-07-20 | 2012-10-24 | 武汉大学 | Cement-base material with ultra-high performance and preparation method thereof |
-
2017
- 2017-02-17 CN CN201710086411.0A patent/CN106874600B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2000039414A1 (en) * | 1998-12-28 | 2000-07-06 | Boldoghy Bela | Multipurpose lightened building structure, basic element and skeletal frame, and production methods thereof |
| CN102745963A (en) * | 2012-07-20 | 2012-10-24 | 武汉大学 | Cement-base material with ultra-high performance and preparation method thereof |
Non-Patent Citations (1)
| Title |
|---|
| 基于Voronoi方法的混凝土三维随机粗骨料模型;徐乐等;《建筑结构学报》;20151231;第325-332页 |
Also Published As
| Publication number | Publication date |
|---|---|
| CN106874600A (en) | 2017-06-20 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN106874600B (en) | The method for quickly generating the concrete two-dimensional random aggregate model that cobble rubble is mingled with | |
| Meng et al. | Three-dimensional mesoscale computational modeling of soil-rock mixtures with concave particles | |
| Ren et al. | Dual-horizon peridynamics: A stable solution to varying horizons | |
| Chen et al. | The enhanced extended finite element method for the propagation of complex branched cracks | |
| CN102628861B (en) | Method for simulating temperature cracking value of mass concrete | |
| Zhou et al. | Effect of surface characteristics of aggregates on the compressive damage of high-strength concrete based on 3D discrete element method | |
| Yu et al. | An equivalent thickness conception for prediction of surface fatigue crack growth life and shape evolution | |
| CN106777822B (en) | Two-dimentional high-content particle enhancing composite material three-phase meso-mechanical model and method for building up | |
| Zhou et al. | Peridynamic micro-elastoplastic constitutive model and its application in the failure analysis of rock masses | |
| Ren et al. | Numerical investigation of speed dependent dynamic fracture toughness of line pipe steels | |
| Wong et al. | An extended grain‐based model for characterizing crystalline materials: An example of marble | |
| CN106874599B (en) | The method for quickly generating the concrete random convex polyhedral aggregate model that cobble rubble is mingled with | |
| Wei et al. | Finite element simulation of tensile bond strength of atmospheric plasma spraying thermal barrier coatings | |
| Yang et al. | Random-fractal-method-based generation of meso-model for concrete aggregates | |
| Lv et al. | A probabilistic method for determining the volume fraction of pre-embedded capsules in self-healing materials | |
| Xu et al. | Theoretical estimation for the volume fraction of interfacial layers around convex particles in multiphase materials | |
| Wu et al. | An enhanced virtual crack closure technique for stress intensity factor calculation along arbitrary crack fronts and the application in hydraulic fracturing simulation | |
| CN110162849B (en) | Modeling method of hybrid fiber concrete | |
| CN108446471A (en) | Mountain area electromagnetic field prediction technique based on three-dimensional moment method and two-dimentional Fast Multiple Method | |
| CN111159794A (en) | Geometric damage rheological analysis method for mechanical properties of multi-fracture rock sample | |
| Bahmani et al. | Three-dimensional micromechanical assessment of bio-inspired composites with non-uniformly dispersed inclusions | |
| Liao et al. | Effect of hole relative size and position on crack deflection angle of repaired structure | |
| Wang et al. | Mesoscale numerical analysis and test on the effect of debonding defect of rectangular CFSTs on wave propagation with a homogenization method | |
| Pan et al. | A study on ITZ percolation threshold of air-entrained mortar: Numerical simulation and analytical model | |
| Zheng et al. | Parameterized implementation of a triple refined modeling framework for mesoscale concrete |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |