CN109766665A - A kind of Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis - Google Patents
A kind of Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis Download PDFInfo
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
The Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis that present disclose provides a kind of, it include: S1, lightweight aggregate random distribution model is generated using the aggregate random distribution model based on random number, wherein lightweight aggregate concrete is divided into mortar and lightweight aggregate two parts；S2 is based on the lightweight aggregate random distribution model, calculates mechanical property of the lightweight aggregate concrete test specimen of predefined size under bottom surface vertical displacement constraint, the vertical uniform pressure effect in top surface using finite element method；S3 analyzes the mechanical property, carries out Mechanical Properties of Lightweight Aggregate Concrete using lightweight aggregate concrete bulk density, strength grade as target.The disclosure can efficiently, accurately analyze determining bulk density, strength grade Bi-objective lightweight aggregate concrete match ratio, the trial workload in Mechanical Properties of Lightweight Aggregate Concrete is greatly reduced, shorten the time for obtaining Target Mixture Ratio, it is high-efficient, precision is high, practical, good economy performance.
Description
Technical field
This disclosure relates to which engineering material technical field more particularly to a kind of lightweight aggregate concrete based on finite element analysis are matched
Composition and division in a proportion design method.
Background technique
Concrete material with its excellent mechanical property and economy, become science of bridge building using most common material it
One.But conventional concrete density is big, directly result in concrete structure from great, largely limit concrete-bridge,
Development especially greatly across the self weight biggish structure of accounting such as concrete-bridge.
The lighting of material and structure is the trend of recent bridge structure development.Compared with normal concrete, using lightweight
Dead load can be effectively reduced in concrete, thus increase span of bridge, reduce basic scale, reduce seismic response etc..It is common
Aglite be mostly porous media, certain interior maintenance effect can be provided after water suction for concrete, effectively reduce concrete
Early-age shrinkage improves its early stage anti-crack ability.
Currently, mix-design Primary Reference " lightweight aggregate concrete technology regulation " (JGJ 51- of lightweight aggregate concrete
2002) technical standards such as, but these can technical standard for reference only propose the approximate range of material utilization amount, be accurate to
Concrete mix also needs a large amount of trial test, while the strength test period after concrete optimum is longer, causes to use
Conventional method obtains target lightweight aggregate concrete and usually requires very big workload and long time.
Therefore, research and development are needed using bulk density and strength grade as target, high-efficient, practical lightweight aggregate concrete cooperates
Compare design method.
Summary of the invention
(1) technical problems to be solved
The Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis that present disclose provides a kind of, at least partly
Solve technical problem set forth above.
(2) technical solution
According to one aspect of the disclosure, a kind of Mechanical Properties of Lightweight Aggregate Concrete based on finite element analysis is provided
Method, comprising:
S1 establishes the spatial distribution model of lightweight aggregate concrete 1, wherein lightweight aggregate concrete 1 divides for mortar 2 and light bone
Expect 3 two parts, the random distribution model of lightweight aggregate 3 is generated using the aggregate random distribution model based on random number；
S2 is based on the aggregate random distribution model, and the lightweight aggregate concrete 1 of predefined size is calculated using finite element method
Mechanical property of the test specimen under the vertical uniform pressure effect in bottom surface vertical displacement constraint, top surface；
S3 analyzes the mechanical property, obtains the density of mortar 2, the apparent density of lightweight aggregate 3, lightweight aggregate 3
The relationship and the intensity of mortar 2 of the bulk density of volume volume and lightweight aggregate concrete 1, the intensity of lightweight aggregate 3, lightweight aggregate body
The relationship of the intensity of product volume and lightweight aggregate concrete 1, and carried out using the bulk density of lightweight aggregate concrete 1, strength grade as target
The mix-design of lightweight aggregate concrete 1.
In some embodiments, the spatial distribution model for establishing lightweight aggregate concrete 1 includes:
S101 generates the random distribution model of lightweight aggregate 3 in the space of predefined size；
S102 imports the information of the aggregate random distribution model of generation using finite element analysis, while assigning every light bone
The constitutive model information of material 3；
S103 generates mortar 2, simultaneously in the space of the predefined size between the gap of aggregate random distribution model
Assign the constitutive model information of mortar 2；
S104, the interface connection between lightweight aggregate 3 and mortar 2 are simulated using spring, the normal stiffness k of springn, it is tangential just
Spend ksIt is simulated and is determined by model test.
In some embodiments, the step S101 includes:
Determine the grading curve F of lightweight aggregate 3D, D is the partial size of lightweight aggregate 3, thereby determines that the lightweight aggregate 3 of different-grain diameter
Quantity n；
Using Monte Carlo method according to the partial size d of lightweight aggregate 3i(i=1 ..., n), descending sequence produces at random
The centroid coordinate of raw lightweight aggregate 3；
The collision relationship between i-th lightweight aggregate 3 generated and the preceding i-1 lightweight aggregate 3 generated is checked, if raw
At i-th lightweight aggregate 3 and the preceding i-1 lightweight aggregate 3 that has generated between equal collisionless, then i-th lightweight aggregate 3 generated have
Effect continues to generate i+1 lightweight aggregate 3；If i-th lightweight aggregate 3 generated is deposited with the preceding i-1 lightweight aggregate 3 generated
It is colliding, then i-th generated lightweight aggregate 3 is invalid, regenerates i-th lightweight aggregate 3 until effectively；
Above step is repeated, until generating effective centroid coordinate of all n lightweight aggregates of quantity 3And
Its diameterInformation.
In some embodiments, it is described check i-th lightweight aggregate 3 generated and the preceding i-1 lightweight aggregate 3 that has generated it
Between collision relationship include:
Judge i-th lightweight aggregate 3 and whether meets following formula between the preceding i-1 lightweight aggregate 3 that has generated, the nothing if meeting
Otherwise there is collision in collision:
In formula, j=1 ..., i-1；djFor the diameter of jth lightweight aggregate 3；(xj, yj, zj) be jth lightweight aggregate 3 shape
Heart coordinate.
In some embodiments, in the step S102, the information of the aggregate random distribution model includes n light bones
The effect centroid coordinate of material 3And diameter
In some embodiments, in the step S102, every lightweight aggregate 3 uses the equilateral polyhedron mould of face number M >=6
It is quasi-.
In some embodiments, in the step S2, the test specimen of the lightweight aggregate concrete 1 for calculating predefined size is the bottom of at
Mechanical property under the vertical uniform pressure effect in face vertical displacement constraint, top surface includes:
The bottom surface of the model for the lightweight aggregate concrete 1 that finite element software is generated carries out vertical displacement constraint, the top of model
Face carries out displacement load, obtains the load-displacement curve of lightweight aggregate concrete 1.
In some embodiments, the step S3 includes:
It according to the load-displacement curve of the lightweight aggregate concrete 1, is calculated and is analyzed by multiple groups parameter, obtain lightweight aggregate 3
Gradation FDIn the case of, the density p of mortar 2mo, lightweight aggregate apparent density ρLA, lightweight aggregate 3 volume volume PLAWith lightweight aggregate
The bulk density ρ of concrete 1LW, FDRelationship and mortar 2 intensity fmo, lightweight aggregate 3 intensity fLA, lightweight aggregate 3 volume volume
PLAWith the intensity f of lightweight aggregate concrete 1LW, FDRelationship:
ρLW, FD(ρmo, ρLA, PLA)=ρmo(1-PLA)+ρLA·PLA (2)
Wherein, α, β are coefficient, in conjunction with Numerical results, by fLW, FD(fmo, fLA, PLA) single order, second dervative simulation
It determines；
According to above-mentioned relation, the mix-design of lightweight aggregate concrete 1 is carried out using bulk density, strength grade as target.
In some embodiments, the lightweight aggregate 3 uses clay haydite, lytag, and shape is spheroidal, ellipsoid
Type, cylindrical compress strength fLAFor 3.0MPa~15MPa.
In some embodiments, it is 100mm cube that 1 test specimen of lightweight aggregate concrete of the predefined size, which can be side length,.
(3) beneficial effect
It can be seen from the above technical proposal that lightweight aggregate coagulation of the disclosure based on aggregate random distribution and finite element analysis
Native mixing proportion design method at least has the advantages that one of them:
(1) Mechanical Properties of Lightweight Aggregate Concrete method of the disclosure based on aggregate random distribution and finite element analysis, builds
The mathematical relationship expression formula for having found lightweight aggregate concrete intensity Yu mortar strength, lightweight aggregate intensity and lightweight aggregate content, realizes
The multi-parameter of lightweight aggregate concrete intensity designs；
(2) Mechanical Properties of Lightweight Aggregate Concrete method of the disclosure based on aggregate random distribution and finite element analysis, builds
The mathematical relationship expression formula for having found lightweight aggregate concrete bulk density Yu mortar bulk density, lightweight aggregate bulk density and lightweight aggregate content, realizes
The multi-parameter of lightweight aggregate concrete bulk density designs.
(3) Mechanical Properties of Lightweight Aggregate Concrete method of the disclosure based on aggregate random distribution and finite element analysis, energy
It is enough efficiently, accurately analyze determine bulk density, strength grade Bi-objective lightweight aggregate concrete match ratio, be greatly reduced
Trial workload in Mechanical Properties of Lightweight Aggregate Concrete, shorten obtain Target Mixture Ratio time, it is high-efficient, precision is high,
Practical, good economy performance.
Detailed description of the invention
Fig. 1 is the flow chart of Mechanical Properties of Lightweight Aggregate Concrete method of the embodiment of the present disclosure based on finite element analysis.
Fig. 2 is embodiment of the present disclosure lightweight aggregate concrete cube and aggregate random distribution schematic diagram.
[embodiment of the present disclosure main element symbol description in attached drawing]
1, lightweight aggregate concrete；2, mortar
3, lightweight aggregate
Specific embodiment
The Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis that present disclose provides a kind of, solves tradition
The problem of needing a large amount of trial tests in lightweight aggregate concrete match ratio determination process, can be effectively reduced lightweight aggregate concrete and matches
The workload of composition and division in a proportion design, greatly shortens the time for obtaining Target Mixture Ratio.
For the purposes, technical schemes and advantages of the disclosure are more clearly understood, below in conjunction with specific embodiment, and reference
The disclosure is further described in attached drawing.
Disclosure some embodiments will be done referring to appended attached drawing in rear and more comprehensively describe to property, some of but not complete
The embodiment in portion will be shown.In fact, the various embodiments of the disclosure can be realized by many different forms, without that should be solved
It is interpreted as being limited to embodiments set forth herein；Relatively, these embodiments are provided so that the disclosure meets applicable legal requirement.
In an exemplary embodiment of the disclosure, provides a kind of lightweight aggregate concrete based on finite element analysis and match
Composition and division in a proportion design method.
Fig. 1 is the flow chart of Mechanical Properties of Lightweight Aggregate Concrete method of the embodiment of the present disclosure based on finite element analysis.
As shown in Figure 1, Mechanical Properties of Lightweight Aggregate Concrete method of the disclosure based on finite element analysis, comprising:
S1 establishes the spatial distribution model of lightweight aggregate concrete 1, wherein lightweight aggregate concrete 1 divides for mortar 2 and light bone
Expect 3 two parts, the random distribution model of lightweight aggregate 3 is generated using the aggregate random distribution model based on random number；
S2 is based on the aggregate random distribution model, and the lightweight aggregate concrete 1 of predefined size is calculated using finite element method
Mechanical property of the test specimen under the vertical uniform pressure effect in bottom surface vertical displacement constraint, top surface；
S3 analyzes the mechanical property, obtains the density of mortar 2, the apparent density of lightweight aggregate 3, lightweight aggregate 3
The relationship and the slurry intensity of sand 2 of the density of volume volume and lightweight aggregate concrete 1, the intensity of lightweight aggregate 3, lightweight aggregate 3 body
The relationship of the intensity of product volume and lightweight aggregate concrete 1 carries out light using the bulk density of lightweight aggregate concrete 1, strength grade as target
The mix-design of aggregate concrete 1.
Below each step of the Mechanical Properties of Lightweight Aggregate Concrete method to the present embodiment based on finite element analysis into
Row is described in detail.
Fig. 2 is cube of the lightweight aggregate concrete 1 of the Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis
Body and aggregate random distribution schematic diagram.As shown in Fig. 2, lightweight aggregate concrete 1 divides for 3 two parts of mortar 2 and lightweight aggregate, wherein
The spatial distribution model of lightweight aggregate 3 is generated using the aggregate random distribution model based on random number.In the step S1, lightweight aggregate
The spatial distribution model generating process of concrete includes:
S101 generates aggregate random distribution model in the space of predefined size.In the present embodiment, the predefined size
Lightweight aggregate concrete 1 is side length 100mm cube.Specifically, the process of the spatial distribution model of the generation lightweight aggregate 3 includes:
Firstly, determining the grading curve F of lightweight aggregate 3D, D is the partial size of lightweight aggregate, thereby determines that the lightweight aggregate of different-grain diameter
3 quantity n；
Using Monte Carlo method according to the partial size d of lightweight aggregate 3i(i=1 ..., n), descending sequence produces at random
The centroid coordinate of raw lightweight aggregate 3；
Check the collision relationship between i-th lightweight aggregate 3 generated and the preceding i-1 lightweight aggregate 3 generated, i.e.,
In formula, j=1 ..., i-1；djFor the diameter of jth lightweight aggregate 3；(xj, yj, zj) be jth lightweight aggregate 3 shape
Heart coordinate.
If equal collisionless between i-th lightweight aggregate 3 generated and the preceding i-1 lightweight aggregate 3 generated, generates
I-th lightweight aggregate 3 effectively, continues to generate i+1 lightweight aggregate 3；If i-th lightweight aggregate 3 generating and before having generated
There is collision in i-1 lightweight aggregate 3, then i-th lightweight aggregate 3 generated is invalid, regenerate i-th lightweight aggregate 3 until effectively；Weight
Multiple above step, until generating effective centroid coordinate of all n lightweight aggregates of quantity 3And its diameterEtc. information.
S102 imports the information of the aggregate random distribution model of generation by finite element softwares such as ABAQUS, ANSYS, packet
Include effective centroid coordinate of lightweight aggregate 3And diameterDeng the every use of lightweight aggregate 3 face number M >=6
The simulation of equilateral polyhedron, while assigning the constitutive model information of every lightweight aggregate 3.
S103 generates mortar 2, simultaneously in the space of the predefined size between the gap of aggregate random distribution model
Assign the constitutive model information of mortar 2.
S104, the interface connection between lightweight aggregate 3 and mortar 2 are simulated using spring, the normal stiffness k of springn, it is tangential just
Spend ksIt is simulated and is determined by model test.
In the step S2, calculated based on the aggregate random distribution model that the step S1 is generated using finite element method
Mechanics of the test specimen of the lightweight aggregate concrete 1 of predefined size under bottom surface vertical displacement constraint, the vertical uniform pressure effect in top surface
Performance.
Specifically, the calculating process include: by finite element software generate lightweight aggregate concrete 1 model bottom surface into
Row vertical displacement constraint, the top surface of model carry out displacement load, obtain the load-displacement curve of lightweight aggregate concrete 1.This implementation
In example, the predefined size of the spatial distribution model of the test specimen and generation lightweight aggregate 3 of the lightweight aggregate concrete 1 of the predefined size
Space is identical, is all side length 100mm cube.
After the random distribution model for generating lightweight aggregate 3, lightweight aggregate is carried out using bulk density, strength grade as target in step S3
The mix-design of concrete 1, wherein the bulk density ρ of lightweight aggregate concrete 1LW, FD, lightweight aggregate concrete 1 intensity fLW, FDSet
Meter method includes:
It according to the load-displacement curve of the lightweight aggregate concrete 1, is calculated and is analyzed by multiple groups parameter, obtain lightweight aggregate 3
Gradation FDIn the case of, the density p of mortar 2mo, lightweight aggregate apparent density ρLA, lightweight aggregate volume volume PLAIt is mixed with lightweight aggregate
The bulk density ρ of solidifying soil 1LW, FDRelationship and mortar 2 intensity fmo, lightweight aggregate intensity fLA, lightweight aggregate volume volume PLAWith
The intensity f of lightweight aggregate concrete 1LW, FDRelationship:
ρLW, FD(ρmo, ρLA, PLA)=ρmo(1-PLA)+ρLA·PLA (2)
In formula, α, β are coefficient, in conjunction with Numerical results, by fLW, FD(fmo, fLA, PLA) single order, second dervative simulation
It determines.
Preferably, the lightweight aggregate 3 can be for clay haydite, lytag etc., and shape can be spheroidal, spheroid shape,
Its cylindrical compress strength fLAFor 3.0MPa~15MPa.
In the present embodiment, the intensity f of mortar 2 is chosenmoFor 80MPa and 110MPa, the cylindrical compress strength of lightweight aggregate 3 is chosen
fLAFor 6MPa and 12MPa, the volume content P of lightweight aggregate 3 is chosenLAIt is 20%, 30%, 40%, 50%, it is determined that lightweight aggregate is mixed
The compression strength f of solidifying soil 1LW, FDWith the intensity f of mortar 2moWith the cylindrical compress strength f of lightweight aggregate 3LARelationship it is as follows.
So far, attached drawing is had been combined the embodiment of the present disclosure is described in detail.It should be noted that in attached drawing or saying
In bright book text, the implementation for not being painted or describing is form known to a person of ordinary skill in the art in technical field, and
It is not described in detail.In addition, the above-mentioned definition to each element and method be not limited in mentioning in embodiment it is various specific
Structure, shape or mode, those of ordinary skill in the art simply can be changed or be replaced to it.
And the shape and size of each component do not reflect actual size and ratio in figure, and only illustrate the embodiment of the present disclosure
Content.In addition, in the claims, any reference symbol between parentheses should not be configured to the limit to claim
System.
It unless there are known entitled phase otherwise anticipates, the numerical parameter in this specification and appended claims is approximation, energy
Enough bases pass through the resulting required characteristic changing of content of this disclosure.Specifically, all be used in specification and claim
The middle content for indicating composition, the number of reaction condition etc., it is thus understood that repaired by the term of " about " in all situations
Decorations.Under normal circumstances, the meaning expressed refers to include by specific quantity ± 10% variation in some embodiments, some
± 5% variation in embodiment, ± 1% variation in some embodiments, in some embodiments ± 0.5% variation.
Furthermore word "comprising" does not exclude the presence of element or step not listed in the claims.It is located in front of the element
Word "a" or "an" does not exclude the presence of multiple such elements.
In addition, unless specifically described or the step of must sequentially occur, there is no restriction in the above institute for the sequence of above-mentioned steps
Column, and can change or rearrange according to required design.And above-described embodiment can be based on the considerations of design and reliability, that
This mix and match is used using or with other embodiments mix and match, i.e., the technical characteristic in different embodiments can be freely combined
Form more embodiments.
Algorithm and display are not inherently related to any particular computer, virtual system, or other device provided herein.
Various general-purpose systems can also be used together with teachings based herein.As described above, it constructs required by this kind of system
Structure be obvious.In addition, the disclosure is also not for any particular programming language.It should be understood that can use various
Programming language realizes content of this disclosure described herein, and the description done above to language-specific is to disclose this public affairs
The preferred forms opened.
Those skilled in the art will understand that can be carried out adaptively to the module in the equipment in embodiment
Change and they are arranged in one or more devices different from this embodiment.It can be the module or list in embodiment
Member or component are combined into a module or unit or component, and furthermore they can be divided into multiple submodule or subelement or
Sub-component.Other than such feature and/or at least some of process or unit exclude each other, it can use any
Combination is to all features disclosed in this specification (including adjoint claim, abstract and attached drawing) and so disclosed
All process or units of what method or apparatus are combined.Unless expressly stated otherwise, this specification is (including adjoint power
Benefit require, abstract and attached drawing) disclosed in each feature can carry out generation with an alternative feature that provides the same, equivalent, or similar purpose
It replaces.Also, in the unit claims listing several devices, several in these devices can be by same hard
Part item embodies.
Similarly, it should be understood that in order to simplify the disclosure and help to understand one or more of each open aspect,
Above in the description of the exemplary embodiment of the disclosure, each feature of the disclosure is grouped together into single implementation sometimes
In example, figure or descriptions thereof.However, the disclosed method should not be interpreted as reflecting the following intention: i.e. required to protect
The disclosure of shield requires features more more than feature expressly recited in each claim.More precisely, as following
Claims reflect as, open aspect is all features less than single embodiment disclosed above.Therefore,
Thus the claims for following specific embodiment are expressly incorporated in the specific embodiment, wherein each claim itself
All as the separate embodiments of the disclosure.
Particular embodiments described above has carried out further in detail the purpose of the disclosure, technical scheme and beneficial effects
Describe in detail it is bright, it is all it should be understood that be not limited to the disclosure the foregoing is merely the specific embodiment of the disclosure
Within the spirit and principle of the disclosure, any modification, equivalent substitution, improvement and etc. done should be included in the guarantor of the disclosure
Within the scope of shield.
Claims (10)
1. a kind of Mechanical Properties of Lightweight Aggregate Concrete method based on finite element analysis, comprising:
S1 establishes the spatial distribution model of lightweight aggregate concrete, wherein lightweight aggregate concrete (1) is divided into mortar (2) and lightweight aggregate
(3) two parts generate the random distribution model of lightweight aggregate (3) using the aggregate random distribution model based on random number；
S2 is based on the aggregate random distribution model, is tried using the lightweight aggregate concrete (1) that finite element method calculates predefined size
Mechanical property of the part under bottom surface vertical displacement constraint, the vertical uniform pressure effect in top surface；
S3 analyzes the mechanical property, obtains the density of mortar (2), the apparent density of lightweight aggregate (3), lightweight aggregate (3)
Volume volume and lightweight aggregate concrete (1) bulk density relationship and the intensity of mortar (2), the intensity of lightweight aggregate (3), light bone
Expect the volume volume of (3) and the relationship of lightweight aggregate concrete (1) intensity, and with the bulk density of lightweight aggregate concrete (1), strength grade
The mix-design of lightweight aggregate concrete (1) is carried out for target.
2. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 1, wherein described to establish lightweight aggregate concrete
(1) spatial distribution model includes:
S101 generates the random distribution model of lightweight aggregate (3) in the space of predefined size；
S102 imports the information of the aggregate random distribution model of generation using finite element analysis, while assigning every lightweight aggregate
(3) constitutive model information；
S103 generates mortar (2) between the gap of aggregate random distribution model, assigns simultaneously in the space of the predefined size
Give the constitutive model information of mortar (2)；
S104, the interface between lightweight aggregate (3) and mortar (2) is connect is simulated using spring, the normal stiffness k of springn, it is tangential just
Spend ksIt is simulated and is determined by model test.
3. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 2, wherein the step Si01 includes:
Determine the grading curve F of lightweight aggregate (3)D, D is the partial size of lightweight aggregate (3), thereby determines that the lightweight aggregate (3) of different-grain diameter
Quantity n；
Using Monte Carlo method according to lightweight aggregate partial size di(i=1 ..., n), lightweight aggregate is randomly generated in descending sequence
(3) centroid coordinate；
The collision relationship between i-th lightweight aggregate (3) generated and the preceding i-1 lightweight aggregate (3) generated is checked, if raw
At i-th lightweight aggregate (3) and the preceding i-1 lightweight aggregate (3) that has generated between equal collisionless, then the i-th light bone generated
Expect (3) effectively, continues to generate i+1 lightweight aggregate (3)；If i-th lightweight aggregate (3) generated and the preceding i-1 generated
There is collision in lightweight aggregate (3), then i-th generated lightweight aggregate (3) in vain, regenerates i-th lightweight aggregate (3) until having
Effect；
Above step is repeated, until generating effective centroid coordinate of all n lightweight aggregates of quantity (3)And its
DiameterInformation.
4. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 3, wherein described to check i-th generated
Collision relationship between lightweight aggregate (3) and the preceding i-1 lightweight aggregate (3) generated includes:
Judge i-th lightweight aggregate (3) and whether meets following formula between the preceding i-1 lightweight aggregate (3) that has generated, the nothing if meeting
Otherwise there is collision in collision:
In formula, j=1 ..., i-1；djFor the diameter of jth lightweight aggregate (3)；(xj, yj, zj) be jth lightweight aggregate (3) centroid
Coordinate.
5. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 3, wherein described in the step S102
The information of aggregate random distribution model includes effective centroid coordinate of n lightweight aggregate (3)And diameter
6. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 3, wherein in the step S102, every
Lightweight aggregate (3) is simulated using the equilateral polyhedron of face number M >=6.
7. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 3, wherein in the step S2, the meter
The test specimen of the lightweight aggregate concrete (1) of predefined size is calculated under bottom surface vertical displacement constraint, the vertical uniform pressure effect in top surface
Mechanical property includes:
The bottom surface of the model for the lightweight aggregate concrete (1) that finite element software is generated carries out vertical displacement constraint, the top surface of model
Displacement load is carried out, the load-displacement curve of lightweight aggregate concrete (1) is obtained.
8. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 7, wherein the step S3 includes:
It according to the load-displacement curve of the lightweight aggregate concrete (1), is calculated and is analyzed by multiple groups parameter, obtained lightweight aggregate (3)
Gradation FDIn the case of, the density p of mortar (2)mo, lightweight aggregate (3) apparent density ρLA, lightweight aggregate (3) volume volume PLAWith it is light
The bulk density ρ of aggregate concrete (1)LW, FDRelationship and mortar (2) intensity fmo, lightweight aggregate (3) intensity fLA, lightweight aggregate
(3) volume volume PLAWith the intensity f of lightweight aggregate concrete (1)LW, FDRelationship:
ρLW, FD(ρmo, ρLA, PLA)=ρmo(1-PLA)+ρLA·PLA (2)
Wherein, α, β are coefficient, in conjunction with Numerical results, by fLW, FD(fmo, fLA, PLA) single order, second dervative simulation determine；
According to above-mentioned relation, the mix-design of lightweight aggregate concrete (1) is carried out using bulk density, strength grade as target.
9. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 1, wherein the lightweight aggregate (3) is using glutinous
Native haydite, lytag, shape are spheroidal, spheroid shape, cylindrical compress strength fLAFor 3.0MPa~15MPa.
10. Mechanical Properties of Lightweight Aggregate Concrete method according to claim 1, wherein the lightweight aggregate concrete (1)
The test specimen of predefined size is that side length is 100mm cube.
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| CN112632814A (en) * | 2020-12-04 | 2021-04-09 | 西安理工大学 | Method for constructing three-dimensional model of recycled concrete based on ellipsoid random aggregate |
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