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1.
基于微态方法的耦合韧性损伤的弹塑性本构模型   总被引:1,自引:1,他引:0  
基于广义连续介质力学提出了一个热力学一致性的耦合微态韧性损伤的弹塑性本构模型。该模型遵循Forest的微态方法,在有限变形中提出引入额外的微态损伤因子及其一阶梯度以考虑材料的内部特征尺度。通过广义虚功原理得到了微态损伤的补充控制方程,对亥姆霍兹自由能进行扩展,得到了新的包含微态损伤变量的损伤能量释放率,在微态损伤的正则化作用下,采用隐式迭代更新局部损伤和应力等状态变量。基于Galerkin加权余量法,推导了以传统位移和微态损伤为基本未知量的有限元列式。利用该数值模型,对DP1000材料的单向拉伸实验和十字形零件的冲压实验进行了应变局部化与材料断裂的有限元分析。结果表明,该微态弹塑性损伤模型可以得到一致的有限元模拟响应曲线并收敛到实验曲线,从而避免发生网格依赖性问题。  相似文献   

2.
本文研究混凝土、岩石一类工程中常用的应变软化材料的有限元分析方法。在作者以往有关粘塑性损伤本构模型的工作基础上,给出了一组便于有限元计算的本构方程表达式。包括损伤弹性矩阵和局部损伤软化矩阵,分别运用于计算硬化和软化阶段的有限元刚度矩阵;对所提出的本构方程的实验验证计算和一些算例的有限元数值分析,表明文中给出的本构方程是可行的,相应的有限元算法能较好地对损伤固体的局部软化效应进行数值分析,并可成功地追踪应力应变响应的软化曲线  相似文献   

3.
基于弹塑性力学和损伤理论,建立了一个与应力球张量有关的正交各向异性材料的混合 硬化屈服准则,该准则无量纲化后与各向同性材料的Mises准则同构,在此基础上,进而建 立了混合硬化正交各向异性材料的增量型弹塑性损伤本构方程,并以具局部损伤的正交各向 异性矩形薄板为例,采用Galerkin法和迭代法,对其弹塑性屈曲问题进行了分析,讨论了局 部损伤对正交各向异性矩形薄板弹塑性屈曲临界应力的影响.  相似文献   

4.
建立了反映高应力状态下岩石材料塑性变形及损伤破坏的弹塑性损伤本构模型。通过ABAQUS显式有限元计算程序及其二次开发平台,使用FORTRAN语言编制本构计算程序,将本构模型导入ABAQUS计算软件当中。将本文提出的岩石材料弹塑性损伤本构模型应用于深埋地下洞室受冲击地压作用问题的计算分析。计算分析结果说明:在应力较低时,受冲击作用后的洞室围岩表现出明显的脆性开裂破坏特征;随着地应力水平的提高,围岩变形及承受冲击荷载的能力均明显变大,洞室在发生较大塑性变形后才出现整体性破坏。  相似文献   

5.
郑宏  顾强 《力学季刊》2001,22(4):502-507
结构钢本构关系的精度直接影响分析结果的可靠度.根据能量等效性假设、热力学第二定律,推出损伤材料的弹性本构方程;采用混合强化准则,考虑Bauschinger效应、屈服平台、硬化(软化)效应及损伤和损伤演化影响,建立了的结构钢弹塑性各向异性损伤本构关系.结合构建的本构关系,采用八节点超参数壳体单元,推导了用U.L.格式及Cauchy应力描述的板壳双重非线性有限元方程,并编制了计算程序.利用U.L.格式的壳体大挠度双重非线性有限元分析方法,对钢方管截面短柱进行面内拉压循环荷载作用下的滞回性能分析.  相似文献   

6.
大变形下初始斜交异性本构方程   总被引:3,自引:0,他引:3  
采用材料主轴法,建立了初始斜交异性材料在变形构形(Euler描述)下的斜交异性本构方程,以及在初始构形(Lagrange描述)下的形式。具体给出了斜交异性线弹性材料方程的显式,它在Lagrange描述下形式简洁,可方便地用于有限元计算。文中指出,在变形构形下是线弹性的材料,在Lagrange描述下其本构方程一般已成为非线性,我们称之为本构转换非线性。这种非线性在实际的有限元计算中还未引起重视。为理论简明,本构方程是对二维给出的。  相似文献   

7.
采用Perzyna过应力本构框架,引入塑性损伤在饱和强化率相关介质中的动态演化规律,建立了考虑损伤的弹-粘塑性本构方程,修正了Eftis等人将Perzyna方程推广时采用不一致的基体强化模式推演损伤演化方程和本构关系这一矛盾。详细计算了黄铜的初始屈服强度及率相关屈了面,给出了动态单轴拉伸数值结果并与实验进行了比较,结果符合很好。  相似文献   

8.
在等温小变形弹塑性内时本构方程偏量形式的基础上,导出了适用于大位移、小应变分析的弹塑性内时本构方程。并导出了带有初始几何缺陷的非线性弹塑性问题的有限元方程。文中给出的算例表明本方法是可行有效的。  相似文献   

9.
针对准脆性材料的非线性特征:强度软化和刚度退化、单边效应、侧限强化和拉压软化、不可恢复变形、剪胀及非弹性体胀,在热动力学框架内,建立了准脆性材料的弹塑性与各向异性损伤耦合的本构关系。对准脆性材料的变形机理和损伤诱发的各向异性进行了诠释,并给出了损伤构形和有效构形中各物理量之间的关系。在有效应力空间内,建立了塑性屈服准则、拉压不同的塑性随动强化法则和各向同性强化法则。在损伤构形中,采用应变能释放率,建立了拉压损伤准则、拉压不同的损伤随动强化法则和各向同性强化法则。基于塑性屈服准则和损伤准则,构建了塑性势泛函和损伤势泛函,并由正交性法则,给出了塑性和损伤强化效应内变量的演化规律,同时,联立塑性屈服面和损伤加载面,给出了塑性流动和损伤演化内变量的演化法则。将损伤力学和塑性力学结合起来,建立了应变驱动的应力-应变增量本构关系,给出了本构数值积分的要点。以单轴加载-卸载往复试验识别和校准了本构材料常数,并对单轴单调试验、单轴加载-卸载往复试验、二轴受压、二轴拉压试验和三轴受压试验进行了预测,并与试验结果作了比较,结果表明,所建本构模型对准脆性材料的非线性材料性能有良好的预测能力。  相似文献   

10.
基于微损伤发展的NAG(nucleation and growth)模型,从唯相角度,得到了一种微孔洞损伤演化方程。在考虑损伤软化和温度软化的基础上得到了材料含损伤本构关系。将损伤演化方程和材料本构关系引入ABAQUS有限元软件对D6AC和921两种钢板撞击层裂问题进行数值模拟。模拟结果与实验结果吻合。  相似文献   

11.
多相孔隙介质的本构描述   总被引:11,自引:1,他引:10  
在混合物理论的框架内,提出了一个处理和和非饱和的多相孔隙介质(工程材料)变形和强度本构建模的新方法,并给出了相应的具体描述,该方法将多相工程材料看成由两个层次的3种混合物模型组成,即第一层次的“固相”和“液相”混合物模型和第二层次的由“固相”和“液相”组成的混合物模型,用该模型来模拟要研究的多相工程材料,这里定义的“固相”和“液相”实际上也是由各自组分组成的混合物,用以反映“固相”介质和“液相”介  相似文献   

12.
The present paper is aimed to simulate progression of damage,hardeningand softening response in brittle materials such as concrete or rock in general state ofstress.Similar shape of surfaces for yield,failure and damage progressing areavailable,and softening strain is treated as plasticity.Then,the proposed model isapplied to solving several boundary value problems.  相似文献   

13.
Based on the theory of mixtures, a coupled thermo-hygro-mechanical (THM) damage model for concrete subjected to high temperatures is presented in this paper. Concrete is considered as a mixture composed of solid skeletons, liquid water, water vapor, dry air, and dissolved air. The macroscopic balance equations of the model consist of the mass conservation equations of each component and the momentum and energy conservation equations of the whole medium mixture. The state equations and the constitutive model used in the model are given. Four final governing equations are given in terms of four primary variables, i.e., the displacement components of soil skeletons, the gas pressure, the capillary pressure, and the temperature. The processes involved in the coupled model include evaporation, dehydration, heat and mass transfer, etc. Through the process of deformation failure and the energy properties, the mechanics damage evolution equations are established based on the principle of conversation of energy and the Lemaitre equivalent strain assumption. Then, the influence of thermal damage on the mechanical property is considered.  相似文献   

14.
混凝土化学-力学耦合作用的非局部损伤模型   总被引:1,自引:0,他引:1  
提出了混凝土化学损伤和力学损伤的耦合模型.用损伤变量表示的本构关系模拟混凝土力学性能.分析了化学侵蚀下混凝土损伤发展过程.研究表明,应力软化造成混凝土局部损伤是结构失效的根源.局部化学损伤出现的时候,平衡微分方程不能满足.为了解决这个问题,采用了非局部损伤模型.试验和有限元计算结果表明,混凝土化学-力学耦合作用的非局部损伤模型能够较好地描述受化学侵蚀与荷载共同作用的损伤状态.  相似文献   

15.
Multi-component materials with customized mechanical properties, such as textile composites and sandwich materials (cellular core with metallic or composite skin), show a great prospective for use in aerostructures. Understanding of the mechanical response of these materials is still in progress. In the present paper, the tensile response of plain weave composites as well as the compressive response of cellular solids are investigated using a multi-scale damage model. The model, implemented by means of the FE method, is based on homogenized progressive damage modeling of a representative unit-cell. Four failure modes have been considered in the failure analysis of the tows, while material property degradation was performed using a damage mechanics approach which takes into account strain softening. For the cellular solids, two different types of FE models were considered namely, a beam model and a shell model. Failure analysis and material property degradation of the struts were integrated into a bilinear material model. Simulations show a non-linear tensile response of the plain weave mainly attributed to matrix cracking and shear failures occurring at warp tows and resin-rich areas. For the cellular solid, preliminary elastic analyses show a customizability of the normal stiffness with regard to strut’s dimensions.  相似文献   

16.
In order to effectively describe the progressively intralaminar and interlam- inar damage for composite laminates, a three dimensional progressive damage model for composite laminates to be used for low-velocity impact is presented. Being applied to three-dimensional (3D) solid elements and cohesive elements, the nonlinear damage model can be used to analyze the dynamic performance of composite structure and its failure be- havior. For the intralaminar damage, as a function of the energy release rate, the damage model in an exponential function can describe progressive development of the damage. For the interlaminar damage, the damage evolution is described by the framework of the continuum mechanics through cohesive elements. Coding the user subroutine VUMAT of the finite element software ABAQUS/Explicit, the model is applied to an example, i.e., carbon fiber reinforced epoxy composite laminates under low-velocity impact. It is shown that the prediction of damage and deformation agrees well with the experimental results.  相似文献   

17.
本文首先通过落锤低速冲击实验测试了纯玻璃纤维增强环氧树脂复合材料和304不锈钢丝网(SSWM)/玻璃纤维混杂复合材料的力学性能,探究了SSWM嵌入数量对混杂复合材料抗冲击性能的影响.随后采用Abaqus有限元软件建立了混杂复合材料的低速冲击模型,分别采用三维Hashin失效准则和Jason-Cook破坏准则模拟了纤维/基体和SSWM的损伤;建立了基于表面接触的内聚力模型来模拟界面分层;编写了VUMAT用户子程序定义混杂复合材料层合板的渐进失效过程.结果表明:相较于纯玻璃纤维增强环氧树脂层合板,SSWM/玻璃纤维混杂增强环氧树脂层合板的抗冲击性能更优,其中铺层形式为铺层III的混杂复合材料抗冲击性能最佳.通过对比发现有限元仿真结果与实验结果吻合良好,表明建立的模型适用于SSWM/玻璃纤维混杂增强环氧树脂复合材料低速冲击损伤的评估.通过分析仿真结果发现混杂复合材料的低速冲击损伤主要是冲击区域的纤维断裂、基体破坏和层间分层;SSWM通过吸收和传递冲击能量从而提升了混杂复合材料的抗冲击性能.  相似文献   

18.
IntroductionCompressivepropertiesofcompositelaminatesafterlowvelocityimpactareoneofthemostseriouscircumstanceswhichmustbetakenintoaccountindamagetolerancedesignofcompositestructures[1].Impactdamagegenerallymanifestsintheformsofdelaminations,matrixcracksandfibrefracture[2 ,3].Sofaralotofresearcheshavebeentakeninlowvelocityimpactbehaviorofcompositelaminatesandtheirpost_impactcompressiveproperties.Compressivefailuremechanismsofcompositelaminatesafterlowvelocityimpacthavenotbeenknownclearly .Ther…  相似文献   

19.
In this paper, we introduce numerical methods that can simulate complex multiphase flows. The finite volume method, applying Cartesian cut-cell is used in the computational domain, containing fluid and solid, to conserve mass and momentum. With this method, flows in and around any geometry can be simulated without complex and time consuming meshing. For the fluid region, which involves liquid and gas, the ghost fluid method is employed to handle the stiffness of the interface discontinuity problem. The interaction between each phase is treated simply by wall function models or jump conditions of pressure, velocity and shear stress at the interface. The sharp interface method “coupled level set (LS) and volume of fluid (VOF)” is used to represent the interface between the two fluid phases. This approach will combine some advantages of both interface tracking/capturing methods, such as the excellent mass conservation from the VOF method and good accuracy of interface normal computation from the LS function. The first coupled LS and VOF will be generated to reconstruct the interface between solid and the other materials. The second will represent the interface between liquid and gas.  相似文献   

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