CN103605865B - A kind of composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method - Google Patents

A kind of composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method Download PDF

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CN103605865B
CN103605865B CN201310627964.4A CN201310627964A CN103605865B CN 103605865 B CN103605865 B CN 103605865B CN 201310627964 A CN201310627964 A CN 201310627964A CN 103605865 B CN103605865 B CN 103605865B
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CN103605865A (en
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赵丽滨
龚愉
辛安
山美娟
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Beihang University
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Abstract

The present invention relates to a kind of composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method, comprise the following steps: (1), according to the structural parameters of composite multidirectional paving layer test coupon, sets up geometrical model;(2) calculate the key parameter of reflection interface behavior, be respectively provided with material properties;(3) geometrical model of paving layer test coupon multidirectional to composite carries out stress and strain model, composition model respectively, sets up three-dimensional finite element model;(4) according to actual conditions and the loaded-up condition of composite structure, the load of FEM model, boundary condition are determined;(5) FEM model based on cohesive zone model is carried out computational analysis, extract the load displacement curve of load(ing) point, the delamination behavior of analog composite material multidirectional laying plate, it is thus achieved that load displacement curve maximum load value, it was predicted that the derogatory behaviour of multidirectional laying plate.

Description

A kind of composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method
Technical field
The present invention relates to a kind of composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method, it is adaptable to The research of the widely used composite in the fields such as Aero-Space multidirectional laying plate delamination behavior and prediction.
Background technology
Advanced composite material is widely used at present in aerospace structure, and with aluminium alloy, titanium alloy, alloy Steel becomes aerospace four big structural materials together.Wherein, carbon fiber resin matrix composite has the same of relatively high specific strength Time, have specific stiffness concurrently high, anticorrosive, fatigue behaviour good and the plurality of advantages such as performance designability and become Modern aircraft structure In the main a kind of composite used.Along with batch production and the application of toughened resin of middle modulus high-strength carbon fiber, this kind of Composite application in aircaft configuration is also gradually developed into, by secondary load-carrying construction, the main force support structure that force-bearing situation is complicated.And answer The safety of structure of condensation material is the most increasingly valued by the people.
Different from metal material, the failure mode of composite and failure mechanism are increasingly complex various.Owing to component material is fine Dimension and the greatest differences of matrix mechanical property, the interlayer performance of composite laminated plate is far below performance in its face, at different loads In the case of, the layering that low velocity impact or geometric discontinuity cause extends under fatigue load, finally causes the flexing of sublayer plate, It it is a kind of main damage form of practice of composite laminate structures.Delamination behavior can cause strength and stiffness to incur loss, Integrality and safety period for structure are all extremely disadvantageous, in some instances it may even be possible to the calamitous structure causing outside to be difficult to discover is broken Bad.Therefore, during design and analyzing, the prediction to composite delamination behavior is a highly important job.
DCB test and MMB test are often used in the fracture toughness under research I type and I/II mixed type loaded-up condition, accordingly Composite unidirectional laminate test method (ASTM D5528-01 and ASTM D6671/D6671M-06) compared Ripe.In generation and the build phase of delamination, cohesive zone model (CZM) is widely applied.Have passed through substantial amounts of Research work, use the vertical cohesive zone model of this structures linear can well analog composite material unidirectional laminate crack initiation with Growth, gained predicts the outcome and existing result of the test has good uniformity.
Compared with laying plate unidirectional with composite, the application in engineering practice of the composite multidirectional laying plate is more extensive.Compound On the laying interface that material multidirectional laying plate machine direction is different, it is easy to form crackle and the delamination of crackle occurs.But, The work that composite interlayer performance is carried out at present mostly also focuses in the research of composite single-ply plate, for composite wood Expect that the delamination rule at multidirectional laying interface is rare to relate to.Due in composite multidirectional laying flaggy and the failure mechanism of interlayer Extremely complex, there is fiber bridge joint, wear the various of failure such as layer extension, and can document for reference extremely limited, for multiple The numerical simulation of condensation material multidirectional laying plate delamination, remains one at present and has much challenging work.In order in this respect Carry out new research, to predict the damage propatagtion in engineering structure, while playing material property advantage, ensure structure peace Entirely, need to introduce the cohesive zone model improved, preferably reflect the failure procedure of composite multidirectional laying plate.
Summary of the invention
The technology of the present invention solves problem: overcome the deficiencies in the prior art, it is provided that a kind of composite based on cohesive zone model is many To laying plate delamination Behavior modeling method, it is adaptable to engineer applied, multidirectional laying plate ply stacking-sequence can be assisted to design, fall Low experimentation cost, laying plate inefficacy damage mode multidirectional to composite is effectively analyzed and predicts simultaneously, preferably ensures Safety of structure.
The technical solution of the present invention, the multidirectional laying plate delamination Behavior modeling of a kind of composite based on cohesive zone model Method, it is achieved step is as follows:
Step A, utilizes the d solid modeling function of finite element software Abaqus, according to the knot of composite multidirectional laying plate Structure parameter, sets up three geometrical models that composite multidirectional paving layer test coupon is corresponding;
Step B, select the linear constitutive relation of cohesive zone model, arrange cohesive zone related interfaces parameter and test record critical should Become energy release rate, model is respectively provided with laying direction and material properties;
Three geometrical models are respectively divided grid, composition model, set up three-dimensional finite element model by step C;
Step D, according to actual conditions and the loaded-up condition of composite structure, force analysis situation, determine test specimen load, Boundary condition, and be applied on FEM model;
Step E, carries out stress analysis to FEM model based on cohesive zone model, it is thus achieved that result of calculation, extracts load(ing) point Load displacement curve, simulates composite based on cohesive zone model multidirectional laying plate delamination behavior, it is thus achieved that load displacement is bent Line maximum load value, it was predicted that the derogatory behaviour of multidirectional laying plate.
Described step A utilizes the d solid modeling function of finite element software Abaqus, and the detailed process setting up geometrical model is:
(A1) open Abaqus software, utilize d solid modeling function, according to composite multidirectional paving layer test coupon structure Parameter value, draws three geometric profile figures that test specimen upper, middle, and lower part is corresponding in two dimensional surface;
(A2) by entity stretching mode, multidirectional 3-D geometric model, the most upper and lower two parts through-thickness are set up respectively Being stretched to the half of actual (real) thickness value, the mid portion through-thickness at cohesive zone place is stretched to 0.01mm.
Described step B determines the key parameter of reflection interface behavior, and the process that implements arranging material properties is:
(B1) definition local material direction, divides upper and lower two parts geometrical model according to each overlay thickness value, creates composite wood Material laying also defines laying angle, needs when defining laying angle to set up corresponding local coordinate system according to actual conditions;
(B2) according to material property parameter, the material properties of upper and lower two parts geometrical model is defined;
(B3) select the linear constitutive relation of cohesive zone model, introduce, by subprogram, the facing with crack length change that test obtains Boundary's strain energy release rate, calculates initial interface rigidity, boundary strength, and viscosity etc. reflects the interface parameter of interface behavior, The material properties of definition cohesive zone place mid portion geometrical model.
Described step C carries out stress and strain model, composition model respectively to the geometrical model of test specimen, sets up the tool of three-dimensional finite element model Body process is:
(C1) to upper and lower two parts along three direction Even seedings of length, and grid division, this grid need not ten Divide fine;
(C2) calculate cohesive zone length, determine cohesive force unit size, quantity, according to cohesive force unit size and number of unit, To mid portion Even seeding, divide the finest grid;
(C3) three geometrical models are assembled successively according to from the order of upper, middle and lower, arrange at two assembly and connection interfaces and tie up Conclude a contract or treaty bundle, in addition for preventing laminate upper and lower part from running through, set up between the two sides, upper and lower part at precrack and connect Touch, set up three-dimensional finite element model.
Described step D determines that geometrical model load, boundary condition realize process and be:
(D1) judge that I type or I/II mixed type loaded-up condition, paving layer test coupon multidirectional to composite carry out force analysis, really Determine the restraint condition of test specimen and suffered load situation;
(D2) restraint condition above is arranged on the FEM model of load as boundary condition, simultaneously in test specimen finite element The load of force analysis gained is applied on model.
Described step E carries out computational analysis to cohesive zone model, it is thus achieved that result of calculation, extracts the load displacement curve of load(ing) point, Laying plate delamination Behavior modeling multidirectional to composite implements process and is:
(E1) FEM model is carried out stress analysis, calculate the strain energy rate of cohesive force unit, by reading cohesive force Unit coordinate information, further according to critical strain energy release rate-crack length relation curve, determines the critical strain of cohesive force unit Energy release rate, compares currency with critical value, it is judged that cohesive force element failure and the spread scenarios of crackle;
(E2) obtaining result of finite element, utilize the post-processing function of finite element software, the load displacement extracting load(ing) point is bent Line, analog composite material multidirectional laying plate delamination behavior, it is thus achieved that load displacement curve maximum load value, when real load reaches During to maximum, the extension of crackle needs not continue to increase load, thus realizes the prediction to multidirectional laying dash-board injury behavior.
Present invention advantage compared with prior art is:
(1) present invention composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method, overcomes pin The deficiency that unidirectional laying plate is studied, it is contemplated that the different fiber direction shadows to multidirectional laying plate delamination behavior Ring, the delamination behavior of analog composite material multidirectional laying plate, thus effectively analyze and predict the derogatory behaviour of multidirectional laying plate.
(2) present invention composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method, can be effective Analyze and simulate the delamination behavior of the composite multidirectional laying plate at multiple interface, according to Numerical Simulation Results, assist multidirectional The design in laying plate laying direction.
(3) present invention composite based on cohesive zone model multidirectional laying plate delamination Behavior modeling method, only needs to set up Cohesive zone model, carries out finite element analysis, laying plate delamination behavior multidirectional to composite can carry out numerical simulation, suitable The prediction of the composite multidirectional laying plate delamination failure behaviour in engineer applied and analysis, can significantly shorten development In the cycle, reduce experimentation cost.
Accompanying drawing explanation
Fig. 1 is the flowchart of the present invention;
Fig. 2 is three geometrical model schematic diagrames that composite multidirectional paving layer test coupon is corresponding;
Fig. 3 is to assemble geometrical model schematic diagram;
Fig. 4 is finite element method (fem) analysis flow chart based on cohesive zone model.
Detailed description of the invention
As it is shown in figure 1, the inventive method is implemented as:
1, according to composite multidirectional paving layer test coupon values of the structural parameters, Abaqus software is set up the geometrical model of test specimen.
Open Abaqus software, utilize d solid modeling function, according to composite multidirectional paving layer test coupon values of the structural parameters, In two dimensional surface, draw the geometric profile figure that test specimen is corresponding respectively, by entity stretching mode, set up 3-D geometric model respectively, As in figure 2 it is shown, wherein a, c two parts through-thickness is stretched to the half of actual (real) thickness value, b part through-thickness stretches 0.01mm。
2, determine the key parameter of reflection interface behavior, laying angle and material properties are set.
Definition local material direction, divides the geometrical model of a and c according to each overlay thickness value, creates composite plys and determines Justice laying angle, needs when defining laying angle to set up corresponding local coordinate system according to actual conditions, joins according to material property Number, definition a and c geometrical model material properties, select the linear constitutive relation of cohesive zone model, introduce test obtain with splitting The critical strain energy release rate of line length change, calculates the reflection interface row such as initial interface rigidity, boundary strength, viscosity For parameter, definition b model is the material properties of corresponding cohesive zone.
3, geometrical model is carried out respectively stress and strain model, composition model, set up three-dimensional finite element model.
To a, c two parts along three direction Even seedings of length, and grid division, this grid need not very fine, Calculate cohesive zone length, determine cohesive force unit size, quantity, according to cohesive force unit size and number of unit, to b part Even seeding, divides the finest grid, and by geometrical model according to from a, the order of b, c assembles successively, at geometrical model The assembly and connection interface of a/b and b/c arranges binding constraints, sets up contact, have as it is shown on figure 3, set up three-dimensional at precrack Limit meta-model.
4, geometrical model load, boundary condition are determined.
Judge that I type or I/II mixed type loaded-up condition, paving layer test coupon multidirectional to composite carry out force analysis, determine test specimen Restraint condition and suffered load situation, restraint condition above is arranged on the FEM model of load as boundary condition, On test specimen FEM model, apply the load of force analysis gained simultaneously.
5, analog composite material multidirectional laying plate delamination behavior.
FEM model is carried out stress analysis, calculates the strain energy rate of correspondence position, it is thus achieved that crack length, further according to facing Boundary's strain energy release rate-crack length relation curve, determines the critical energy release rate of this position, by currency with critical Value compares, it is judged that cohesive force element failure and the spread scenarios of crackle, idiographic flow is as shown in Figure 4, it is thus achieved that FEM calculation As a result, utilize the post-processing function of finite element software, extract the load displacement curve of load(ing) point, simulate based on cohesive zone model Composite multidirectional laying plate delamination behavior, it is thus achieved that load displacement curve maximum load value, it is judged that when real load reaches When being worth greatly, the extension of crackle needs not continue to increase load, thus realizes the prediction to multidirectional laying dash-board injury behavior.
Non-elaborated part of the present invention belongs to the known technology of those skilled in the art.

Claims (3)

1. composite based on a cohesive zone model multidirectional laying plate delamination Behavior modeling method, it is characterised in that include Following steps:
Step A, utilizes the d solid modeling function of finite element software Abaqus, according to the knot of composite multidirectional laying plate Structure parameter, sets up three geometrical models that composite multidirectional paving layer test coupon is corresponding;
In described step A, structural parameters according to composite multidirectional paving layer test coupon are set up the geometrical model of test specimen and are realized process For:
(A1) open Abaqus software, utilize d solid modeling function, according to composite multidirectional paving layer test coupon structure Parameter value, draws three geometric profile figures that test specimen upper, middle, and lower part is corresponding in two dimensional surface;
(A2) by entity stretching mode, multidirectional 3-D geometric model, the most upper and lower two parts through-thickness are set up respectively Being stretched to the half of actual (real) thickness value, the mid portion through-thickness at cohesive zone place is stretched to 0.01mm;
Step B, select the linear constitutive relation of cohesive zone model, arrange cohesive zone related interfaces parameter and test record critical should Become energy release rate, model is respectively provided with laying direction and material properties;
Described step B determines the key parameter of reflection interface behavior, and arrange laying direction and material properties implements process For:
(B1) definition local material direction, divides upper and lower two parts geometrical model according to each overlay thickness value, creates composite wood Material laying also defines laying angle, needs when defining laying angle to set up corresponding local coordinate system according to actual conditions;
(B2) according to material property parameter, the material properties of upper and lower two parts geometrical model is defined;
(B3) select the linear constitutive relation of cohesive zone model, introduce, by subprogram, the facing with crack length change that test obtains Boundary's strain energy release rate, calculates initial interface rigidity, boundary strength, and viscosity etc. reflects the interface parameter of interface behavior, The material properties of definition cohesive zone place mid portion geometrical model;
Three geometrical models are respectively divided grid, composition model, set up three-dimensional finite element model by step C;
Described step C carries out stress and strain model, composition model respectively to the geometrical model of test specimen, sets up the tool of three-dimensional finite element model Body process is:
(C1) to upper and lower two parts along three direction Even seedings of length, and grid division, this grid need not ten Divide fine;
(C2) calculate cohesive zone length, determine cohesive force unit size, quantity, according to cohesive force unit size and number of unit, To mid portion Even seeding, divide the finest grid;
(C3) three geometrical models are assembled successively according to from the order of upper, middle and lower, arrange at two assembly and connection interfaces and tie up Conclude a contract or treaty bundle, in addition for preventing laminate upper and lower part from running through, set up between the two sides, upper and lower part at precrack and connect Touch, set up three-dimensional finite element model;
Step D, according to actual conditions and the loaded-up condition of composite structure, force analysis situation, determine test specimen load, Boundary condition, and be applied on FEM model;
Step E, carries out stress analysis to FEM model based on cohesive zone model, it is thus achieved that result of calculation, after utilizing finite element Process function, extract the load displacement curve of load(ing) point, simulate the multidirectional paving Laminates With Delamination of composite based on cohesive zone model and expand Exhibition behavior, it is thus achieved that load displacement curve maximum load value, it was predicted that multidirectional laying dash-board injury behavior.
A kind of composite based on cohesive zone model the most according to claim 1 multidirectional laying plate delamination behavior mould Plan method, it is characterised in that: described step D determines that geometrical model load, boundary condition realize process and be:
(D1) judge that I type or I/II mixed type loaded-up condition, paving layer test coupon multidirectional to composite carry out force analysis, really The restraint condition determining test specimen is loaded with institute;
(D2) restraint condition above is arranged on the FEM model of load as boundary condition, simultaneously in test specimen finite element The load of force analysis gained is applied on model.
A kind of composite based on cohesive zone model the most according to claim 1 multidirectional laying plate delamination behavior mould Plan method, it is characterised in that: described step E carries out computational analysis to cohesive zone model, it is thus achieved that result of calculation, extracts load(ing) point Load displacement curve, laying plate delamination Behavior modeling multidirectional to composite implements process and is:
(E1) FEM model is carried out stress analysis, calculate the strain energy rate of cohesive force unit, by reading cohesive force Unit coordinate information, further according to critical strain energy release rate-crack length relation curve, determines the critical strain of cohesive force unit Energy release rate, compares currency with critical value, it is judged that cohesive force element failure and the spread scenarios of crackle;
(E2) obtaining result of finite element, utilize the post-processing function of finite element software, the load displacement extracting load(ing) point is bent Line, analog composite material multidirectional laying plate delamination behavior, it is thus achieved that load displacement curve maximum load value, when real load reaches During to maximum, the extension of crackle needs not continue to increase load, thus realizes the prediction to multidirectional laying dash-board injury behavior.
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Simulation of multi-directional crack growth in braided composite T-piece specimens using cohesive models;J.CHEN;《Fatigue & Fracture of Engineering Materials & Structures》;20110228;第34卷(第2期);第123-130页 *
碳纤维复合材料层合板损伤脱层过程的有限元分析;苏罗丹等;《第17届全国复合材料学术会议论文(复合材料力学分论坛)集》;20121001;正文第303页右栏第2段,第304页左栏第2-4段,图1,3-6,9-10 *

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* Cited by examiner, † Cited by third party
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CN107391783A (en) * 2017-06-02 2017-11-24 西安交通大学 A kind of asymmetric Combined Cycle Unit shafting vibration monitoring method based on finite element theory
CN107391783B (en) * 2017-06-02 2020-04-28 西安交通大学 Finite element theory-based asymmetric combined cycle unit shafting vibration monitoring method
CN107832492A (en) * 2017-10-11 2018-03-23 大连理工大学 A kind of corrosion of steel structure Fatigue Damage Calculation method based on cohesive zone model

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