CN106844849A - A kind of numerical analysis method of soil body orthotropic constitutive model - Google Patents
A kind of numerical analysis method of soil body orthotropic constitutive model Download PDFInfo
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Abstract
The invention discloses a kind of numerical analysis method of soil body orthotropic constitutive model, it is characterised in that：Described soil body orthotropic constitutive model is set up based on mole coulomb yield criterion, two aspects of elastic orthotropic and plasticity orthotropic, wherein plasticity orthotropic mainly considers the orthotropic effect of soil body cohesive strength, and mole coulomb pare-debris flow body of amendment is proposed by hyperbolic fit；Described soil body orthotropic constitutive model is, by compiling user material subprogram UMAT, and to be embedded into ABAQUS softwares, finally realizes the numerical computations of soil body orthotropic constitutive modeling.The advantage of the invention is that overcome mole coulomb yield criterion that ABAQUS carries cannot be while considering the defect of elastic properties of materials orthotropic and plastic anisotropy, the characteristics of orthotropic caused by soil body deposition can comprehensively be reflected, for the characteristic of reasonable description soil body orthotropic provides reference, also to instructing the engineering problem there is important scientific value.
Description
Technical field
The present invention relates to Geotechnical Engineering Computer-aided Design Technology field, more particularly to a kind of this structure of soil body orthotropic
The numerical analysis method of model.
Background technology
Soil as a kind of discontinuous friction-type bulk solid engineering material, except showing as non-linear non-resilient, pressure hardness, cut swollen
Outside property, stress-strain and many characteristics such as stress history and stress path correlation, in engineering practice, also especially show
The anisotropy of the soil body.It is due to two kinds of reasons that why soil shows anisotropy：One kind is intrinsic anisotropy, mainly
Natural soil particle in deposition process or Artificial Soil horizontal direction and vertical direction during filling arrangement it is different and draw
The Mechanical Characters of Composite Ground and the difference of parameter for rising；Another is stress-induced anisotropy, mainly due to the soil body in all directions
Upper suffered stress is different, causes soil particle different on space arrangement, thus forms anisotropy.Because the stratification of soil is special
The soil body, can be considered as orthotropic, the i.e. mechanical characteristic parallel to all directions of depositional plane roughly the same by property, and vertical
Different characteristics are then shown in the direction of depositional plane.
There are some researches show the anisotropy of the soil body has a significant impact to its destruction characteristic, for example, in research model bar shaped
During the bearing capacity on basis, the maximum load capacity that is obtained in loading direction and vertical depositional plane and put down in loading direction and depositional plane
The minimum bearing capacity difference obtained during row can reach 34%.For clay, the anisotropy of intensity it is also clear that.Therefore,
There is important engineering significance to the reasonable description of soil body orthotropic.Existing constitutive model is more to regard continuous Jie as the soil body
Matter, is theoretical foundation with classical elasticity, elastic plastic theory, some large-scale general finite element softwares, such as ANASYS and ABAQUS,
Typically only simple this structure such as isotropic elasticity, isotropism Elastoplastic Anisotropic elasticity and anisotropy elastoplasticity is closed
It is model, it is impossible to accurately reflect the stress-strain behavior considered under the conditions of soil body orthotropic this structure.
The content of the invention
Goal of the invention：A kind of deficiency of the present invention for existing research, there is provided number of soil body orthotropic constitutive model
Value analysis method.
Technical scheme：The invention provides a kind of numerical analysis method of soil body orthotropic constitutive model, its feature exists
In：(1) soil body is Orthotropic Material Constitution, and its constitutive model is set up based on mole-coulomb yield criterion；(2) soil body is orthogonal
Different in nature constitutive model includes elastic two aspects of orthotropic and plasticity orthotropic, and by hyperbolic fit to mole-storehouse
Human relations pare-debris flow body is corrected；(3) the orthotropic constitutive model of the soil body be by compiling user material subprogram UMAT, and
It is embedded into ABAQUS softwares, finally realizes the numerical computations of soil body orthotropic constitutive modeling.
The feature (1) is specially：The soil body is Orthotropic Material Constitution, i.e., the mechanics parallel to all directions of depositional plane is special
Property is roughly the same, and is then showing different characteristics perpendicular to the direction of depositional plane.Soil body orthotropic of the invention this structure
Model is set up based on mole-coulomb yield criterion；
The feature (2) is specially：Soil body incremental orthotropic model considers elastic orthotropic simultaneously and plasticity is orthogonal different
Property.Elastic incremental orthotropic model includes 5 unknown quantitys, the respectively elastic modulus E of deposition directionvWith Poisson's ratio υvh, perpendicular to
The elastic modulus E of deposition directionhWith Poisson's ratio υh, shear modulus Gvh, other specification can be by the mutual pass between this 5 unknown quantitys
System obtains.Assuming soil internal friction angle in plastic constitutive modelIt is constant, it is considered to which soil body cohesive strength c has effect of anisotropy,
And depositional plane and the cohesive strength c on depositional planev、chThere is relevance, i.e.,：cθ=ch+(cv-ch)sin2α.Due to rubbing
There are six corner angle (singular point) in that-coulomb yield criterion so that calculate and become numerous slow with convergence, the present invention is used in π planes
Hyperbolic fit is modified to mole-coulomb yield surface, and smooth continuous treatment is obtained in edges and corners；
The feature (3) is specially：Take flow potential consistent with the expression formula of yield function, Euler is retreated using implicit
Algorithm, to the derivation of mole-coulomb yield function, derivation of potential function, the secondary derivation of potential function, by UMAT interfaces,
To be encoded with realizing soil body orthotropic sheet during the UMAT subprograms of soil body orthotropic constitutive model are embedded into ABAQUS softwares
The numerical computations of structure simulation.
Beneficial effect：Mole-coulomb the yield criterion carried instant invention overcomes ABAQUS cannot be while consider material bullet
Property orthotropic and plastic anisotropy defect, the constitutive model of soil body orthotropic is embedded in by compiling UMAT subprograms
To in ABAQUS softwares, the numerical computations of soil body orthotropic constitutive modeling are realized.Numerical analysis side provided by the present invention
The characteristics of method can comprehensively reflect soil body deposition caused orthotropic, for the characteristic for rationally describing soil body orthotropic is provided
Reference, also to instructing the engineering problem there is important scientific value.
Brief description of the drawings:
Fig. 1 is numerical method flow chart of the invention；
Fig. 2 is anisotropy of the soil body cohesive strength with direction；
Fig. 3 is to be fitted mole coulomb yield function with hyperbola approximation；
Fig. 4 is approached for the hyperbola of p-q plane mole coulomb criterions.
In figure, cv、chRespectively depositional plane and on depositional plane the soil body cohesive strength, cθRepresent the soil body one with
Cohesion in depositional plane plane into θ angle；P is equivalent compression；Q is Mises equivalent stress.
Specific embodiment
Describe specific embodiment of the invention in detail below in conjunction with accompanying drawing.Protection scope of the present invention is not merely limited to
In the description of present embodiment.
A kind of numerical analysis method of soil body orthotropic constitutive model, flow as shown in Figure 1 is comprised the following steps that：
(1) according to the actual conditions of problem, geometrical parameters are extracted, sets up ABAQUS FEM models；
(2) in input file, using keyword " USER MATERIAL ", represent and define user's material properties, and according to
Geological exploration and laboratory test results, material parameter is input in numerical model；
(3) in the LOAD modules of ABAQUS, the boundary condition to model is configured, and applies initial load；
(4) suitable cell type grid division is chosen, should be with the uniform qualified finite element grid of division before mesh generation
For criterion is arranged to geometrical model, and carry out size of mesh opening sensitivity analysis, by determine simultaneously meet computational accuracy and in terms of
Calculate the Bestgrid dividing mode of efficiency；
(5) UMAT user's favorite subroutines are compiled, and are embedded into ABAQUS FEM models by ABAQUS main program interfaces,
Submit model to and complete its computing.
A kind of numerical analysis method of described soil body orthotropic constitutive model, it is characterised in that：(1) soil body is orthogonal
Unlike material, its constitutive model is set up based on mole-coulomb yield criterion；(2) soil body orthotropic constitutive model includes
Two aspects of elastic orthotropic and plasticity orthotropic, and mole-coulomb pare-debris flow body is carried out by hyperbolic fit
Amendment；(3) the orthotropic constitutive model of the soil body is, by compiling user material subprogram UMAT, and to be embedded into ABAQUS softwares
In, finally realize the numerical computations of soil body orthotropic constitutive modeling.
The feature (1) is specially：The soil body is Orthotropic Material Constitution, i.e., the mechanics parallel to all directions of depositional plane is special
Property is roughly the same, and is then showing different characteristics perpendicular to the direction of depositional plane.Mole-coulomb yield criterion is current rock
One of most widely used criterion of strength of native engineering field, and have the advantages that two other yield criterions are incomparable：First, it
All parameters all have direct physical significance；Second, all parameters can be measured by conventional experimental technique, therefore be rubbed
Your use of coulomb yield criterion is extremely simple, and soil body orthotropic constitutive model of the invention is based on mole-coulomb surrender
Criterion and set up；
The feature (2) is specially：Soil body incremental orthotropic model considers elastic orthotropic simultaneously and plasticity is orthogonal different
Property.In elastic stage, the strain-stress relation of the soil body meets orthotropic constitutive equation, as shown in formula (1)：
In formula, EvAnd EhThe respectively elastic modelling quantity perpendicular to deposition direction of deposition direction；υvhAnd υhRespectively deposition side
To the Poisson's ratio perpendicular to deposition direction；GhAnd GvhThe respectively modulus of shearing perpendicular to deposition direction of deposition direction.This
There is certain relation between a little elastic parameters：
Therefore, elastic incremental orthotropic model contains 5 unknown quantitys, and other parameters can be by between this 5 unknown quantitys
Correlation is obtained.
In mole-coulomb yield criterion soil intensity can with c withTwo parameters represent that research shows, relative to interior
Angle of frictionAnisotropy, the effect of anisotropy of cohesion c is frequently more notable, can ignore internal friction angleFor master
The dependence of stress direction, and think cohesion and depend on principal direction of stress.Therefore, it is assumed here that internal friction angle is constant, and
Consider the anisotropism and effect of anisotropy of c.As shown in Fig. 2 orthotropic soil body cohesive strength in all directions is represented
For：
cθ=ch+(cv-ch)sin2α (3)
In formula, cv、chRespectively depositional plane and on depositional plane the soil body cohesive strength, cθRepresent the soil body one with
Cohesion in depositional plane plane into θ angle.
If the soil body obey mole-coulomb yield criterion, the orthotropic mole that it is represented with stress invariant-coulomb bend
Taking equation is：
In finite Element Analysis, because mole coulomb yield criterion is not regular hexagon in π planes, around the corner
Discontinuous many problems are often produced in numerical computations.When stress state is at these singular points, due to flex point
There is the discontinuous and imponderable situation of gradient in the presence of, yield function or potential function, cause plastic-elastic stress strain matrix without
Method is solved.In order to avoid such case, mole coulomb criterion that the present invention will be represented with stress invariant uses hyperbola approximation
Simulation, as shown in Figure 3.Mole coulomb criterion line is used as asymptote in scheming, and draws in p-q planes corresponding curve to correct
Mole-coulomb criterion, final round and smooth yield surface cone apex eliminates the problem that singularity can not be led with meridian plane flex point, greatly
Improve the stability of the elastic-plastic calculation in finite element analysis.The physical significance difference of corresponding parameter l, d and h in figure
For
The expression formula of revised orthotropic mole coulomb yield function is：
Be can be seen that by above formula, a mole coulomb yield function can preferably be simulated by adjusting parameter A.On p-q faces, with
The change of parameter A, hyperbolic yield function is as shown in Figure 4 with mole approach relationship of coulomb yield function.The value of A is smaller,
The propinquity effect of hyperbolic yield function is better, as A=1, former mole coulomb yield function is become again, no longer with cancellation singularity
Effect.On meridian plane, a mole coulomb yield criterion is hexagonal pyramid to correspondence, and conical section hyperbolic yielding curve is approached,
Cone is become round and smooth, allow program to be become more stable in numerical computations.
The feature (3) is specially：Take flow potential consistent with the expression formula of yield function, i.e.,
Ψ is soil body dilative angle in formula, and K (θ) is identical with the expression formula in yield function, by angle of frictionIt is rewritten as Ψ.
, it is necessary to seek potential function and yield function local derviation in finite element analysis, one is answered for calculating plastic-elastic stress
Change relation, two is to be used to for stress to retract yield surface in stress iterative algorithm.In UMAT subprograms are write, after implicit
Euler algorithm is moved back, to the derivation of mole-coulomb yield function, derivation of potential function, the secondary derivation of potential function；By UMAT
Interface, will be encoded with realizing that the soil body is orthogonal different during the UMAT subprograms of soil body orthotropic constitutive model are embedded into ABAQUS softwares
The numerical computations of property constitutive modeling.
Claims (1)
1. a kind of numerical analysis method of soil body orthotropic constitutive model, it is characterised in that：(1) soil body is orthotropic material
Material, its constitutive model is set up based on mole-coulomb yield criterion；(2) soil body orthotropic constitutive model is including elasticity just
The opposite sex and two aspects of plasticity orthotropic are handed over, and mole-coulomb pare-debris flow body is corrected by hyperbolic fit；
(3) the orthotropic constitutive model of the soil body is, by compiling user material subprogram UMAT, and to be embedded into ABAQUS softwares, most
The numerical computations of soil body orthotropic constitutive modeling are realized eventually；
The feature (1) is specially：The soil body is Orthotropic Material Constitution, i.e., the mechanical characteristic parallel to all directions of depositional plane is big
Cause is identical, and is then showing different characteristics, soil body orthotropic constitutive model of the invention perpendicular to the direction of depositional plane
Set up based on mole-coulomb yield criterion；
The feature (2) is specially：Soil body incremental orthotropic model considers elastic orthotropic and plasticity orthotropic, bullet simultaneously
Property incremental orthotropic model include 5 unknown quantitys, the respectively elastic modulus E of deposition directionvWith Poisson's ratio υvh, perpendicular to deposition side
To elastic modulus EhWith Poisson's ratio υh, shear modulus Gvh, other specification can obtain by the correlation between this 5 unknown quantitys
Arrive, assuming soil internal friction angle in plastic constitutive modelIt is constant, it is considered to which soil body cohesive strength c has effect of anisotropy, and heavy
Product face and the cohesive strength c on depositional planev、chThere is relevance, i.e.,：
cθ=ch+(cv-ch)sin2α, due to mole-coulomb yield criterion π planes exist six corner angle so that calculate become it is numerous and
Convergence is slow, and mole-coulomb yield surface is modified by hyperbolic fit, and smooth continuous treatment is obtained in edges and corners；
The feature (3) is specially：Take flow potential consistent with the expression formula of yield function, Euler's calculation is retreated using implicit
Method, to the derivation of mole-coulomb yield function, derivation of potential function, the secondary derivation of potential function, by UMAT interfaces, will
It is encoded with the UMAT subprograms of soil body orthotropic constitutive model and is embedded into ABAQUS softwares to realize soil body orthotropic this structure
The numerical computations of simulation.
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| CN108520158A (en) * | 2018-04-26 | 2018-09-11 | 山东大学 | A kind of cycle hyperbola elastoplasticity soil constitutive model and its application process |
| CN110222369A (en) * | 2019-05-05 | 2019-09-10 | 西南交通大学 | A kind of impact force of falling stone calculation method for considering backfill cushioning layer material and strengthening |
| CN110414072A (en) * | 2019-07-04 | 2019-11-05 | 燕山大学 | Orthotropic abrasion constitutive model method for building up |
| CN112541226A (en) * | 2020-12-04 | 2021-03-23 | 招商局重工（江苏）有限公司 | Machining process of hyperboloid forming equipment |
| CN113033031A (en) * | 2019-12-25 | 2021-06-25 | 海鹰航空通用装备有限责任公司 | Simulation device and method for landing process of aircraft with buffer airbag |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108061686A (en) * | 2017-12-01 | 2018-05-22 | 中国矿业大学 | The assay method and analyzer of rock cohesion and internal friction angle changing rule are obtained simultaneously |
| CN108061686B (en) * | 2017-12-01 | 2020-03-10 | 中国矿业大学 | Measuring method and measuring instrument for simultaneously obtaining change rule of rock cohesion and internal friction angle |
| CN108520158A (en) * | 2018-04-26 | 2018-09-11 | 山东大学 | A kind of cycle hyperbola elastoplasticity soil constitutive model and its application process |
| CN108520158B (en) * | 2018-04-26 | 2019-04-23 | 山东大学 | A kind of circulation hyperbola elastoplasticity soil constitutive model and its application method |
| CN110222369A (en) * | 2019-05-05 | 2019-09-10 | 西南交通大学 | A kind of impact force of falling stone calculation method for considering backfill cushioning layer material and strengthening |
| CN110222369B (en) * | 2019-05-05 | 2022-11-22 | 西南交通大学 | Rockfall impact force calculation method considering backfill buffer layer material reinforcement |
| CN110414072A (en) * | 2019-07-04 | 2019-11-05 | 燕山大学 | Orthotropic abrasion constitutive model method for building up |
| CN110414072B (en) * | 2019-07-04 | 2020-12-11 | 燕山大学 | Method for obtaining orthotropic abrasion loss |
| CN113033031A (en) * | 2019-12-25 | 2021-06-25 | 海鹰航空通用装备有限责任公司 | Simulation device and method for landing process of aircraft with buffer airbag |
| CN113033031B (en) * | 2019-12-25 | 2024-05-10 | 海鹰航空通用装备有限责任公司 | Simulation device and method for landing process of aircraft with buffer air bags |
| CN112541226A (en) * | 2020-12-04 | 2021-03-23 | 招商局重工（江苏）有限公司 | Machining process of hyperboloid forming equipment |
| CN112541226B (en) * | 2020-12-04 | 2021-10-01 | 招商局重工（江苏）有限公司 | Machining method of double-curved-surface forming equipment |
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Application publication date: 20170613 |