A CONDENSED METHOD FOR LINEAR COMPLEMENTARY EQUATIONS OF ELASTO－PLASTIC PROBLEMS

ＡＣＯＮＤＥＮＳＥＤＭＥＴＨＯＤＦＯＲＬＩＮＥＡＲＣＯＭＰＬＥＭＥＮＴＡＲＹＥＱＵＡＴＩＯＮＳＯＦＥＬＡＳＴＯ－ＰＬＡＳＴＩＣＰＲＯＢＬＥＭＳＹｉｎＦｕｘｉｎ（殷福新）ＳｕｎＨｕａｎｃｈｕｎ（孙焕纯）（ＲｅｃｅｉｖｅｄＪｕｌｙ２５．１９９４）ＡＣＯＮ...     

THE EXACT SOLUTIONS OF ELASTIC－PLASTIC CRACK LINE FIELD FOR MODE Ⅱ PLANE STRESS CRACK

ＴＨＥＥＸＡＣＴＳＯＬＵＴＩＯＮＳＯＦＥＬＡＳＴＩＣ－ＰＬＡＳＴＩＣＣＲＡＣＫＬＩＮＥＦＩＥＬＤＦＯＲＭＯＤＥⅡＰＬＡＮＥＳＴＲＥＳＳＣＲＡＣＫＹｉＺｈｉｊｉａｎ（易志坚）ＷａｎｇＳｈｉｊｉｅ（王士杰）ＷａｎｇＸｉａｎｇｊｉａｎ（王向坚）（Ｒｅｃｅｉ...     

The mechanical method of constructing the displacement functions in elasticity

ＴＨＥＭＥＣＨＡＮＩＣＡＬＭＥＴＨＯＤＯＦＣＯＮＳＴＲＵＣＴＩＮＧＴＨＥＤＩＳＰＬＡＣＥＭＥＮＴＦＵＮＣＴＩＯＮＳＩＮＥＬＡＳＴＩＣＩＴＹ＊／／ＺｈａｎｇＨｏｎｇ－ｑｉｎｇ（张鸿庆）ＦｅｎｇＨｏｎｇ（冯红）（ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃ...     

THE EXACT SOLUTIONS OF ELASTIC－PLASTIC CRACK LINE FIELD FOR MODE ⅡPLANE STRESS CRACK

ＴＨＥＥＸＡＣＴＳＯＬＵＴＩＯＮＳＯＦＥＬＡＳＴＩＣ－ＰＬＡＳＴＩＣＣＲＡＣＫＬＩＮＥＦＩＥＬＤＦＯＲＭＯＤＥＩＩＰＬＡＮＥＳＴＲＥＳＳＣＲＡＣＫＹｉＺｈｉｊｉａｎ（易志坚）ＷａｎｇＳｈｉｊｉｅ（王士杰）ＷａｎｇＸｉａｎｇｊｉａｎ（王向坚）（Ｒｅｃｅ...     

ELASTIC－PLASTIC CONSTITUTIVE MODELS BASED ON THE MULTIPLICATION PROCESSES OF DEFORMED GRAINS

（何宗彦）ＥＬＡＳＴＩＣ－ＰＬＡＳＴＩＣＣＯＮＳＴＩＴＵＴＩＶＥＭＯＤＥＬＳＢＡＳＥＤＯＮＴＨＥＭＵＬＴＩＰＬＩＣＡＴＩＯＮＰＲＯＣＥＳＳＥＳＯＦＤＥＦＯＲＭＥＤＧＲＡＩＮＳ￥ＨｅＺｏｎｇｙａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＥｎｇｉｎｅｅｒＭｅｃｈａｎｉ...     

THE CALCULATION OF THE MULTIPLY－CONNECTED ELASTIC PLANE PROBLEMS BY MEANS OF STRESS FUNCTIONS OF MULTIPLE COMPLEX VARIABLES

ＴＨＥＣＡＬＣＵＬＡＴＩＯＮＯＦＴＨＥＭＵＬＴＩＰＬＹ－ＣＯＮＮＥＣＴＥＤＥＬＡＳＴＩＣＰＬＡＮＥＰＲＯＢＬＥＭＳＢＹＭＥＡＮＳＯＦＳＴＲＥＳＳＦＵＮＣＴＩＯＮＳＯＦＭＵＬＴＩＰＬＥＣＯＭＰＬＥＸＶＡＲＩＡＢＬＥＳｗａｎｇＬｉｎｄｉａｎｇ（王林江）Ｌ...     

Analysis of complex stress intensities for cracked laminates

ＡＮＡＬＹＳＩＳＯＦＣＯＭＰＬＥＸＳＴＲＥＳＳＩＮＴＥＮＳＩＴＩＥＳＦＯＲＣＲＡＣＫＥＤＬＡＭＩＮＡＴＥＳＨｕＨｕｒａｎｇ（胡互让）;ＷｕＣｈｅｎｇｐｉｎｇ（吴承平）（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃａｌ．ＡｅｒｏｓｐａｃｅａｎｄＭａｎｕｆａ...     

An analysis of the post-buckling of laminated plates of symmetric cross-ply

ＡＮＡＮＡＬＹＳＩＳＯＦＴＨＥＰＯＳＴ－ＢＵＣＫＬＩＮＧＯＦＬＡＭＩＮＡＴＥＤＰＬＡＴＥＳＯＦＳＹＭＭＥＴＲＩＣＣＲＯＳＳ－ＰＬＹＷｅｎｇＺｏｎｇｙｉ（翁宗诒）（ＲｅｃｅｉｖｅｄＭａｒｃｈ６,１９９５,ＣｏｍｍｕｎｉｃａｔｅｄｂｙＺｈｏｕＣｈｅｎｇｔ...     

CONTACT PROBLEMS AND DUAL VARIATIONAL INEQUALITY OF 2－D ELASTOPLASTIC BEAM THEORY

ＣＯＮＴＡＣＴＰＲＯＢＬＥＭＳＡＮＤＤＵＡＬＶＡＲＩＡＴＩＯＮＡＬＩＮＥＱＵＡＬＩＴＹＯＦ２－ＤＥＬＡＳＴＯＰＬＡＳＴＩＣＢＥＡＭＴＨＥＯＲＹＤａｖｉｄＹａｎｇＧａｏ（高扬）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ．ＶｉｒｇｉｎｉａＰｏｌｙｔ...     

A STUDY OF THE ELASTO－PLASTIC AXIALLY TENSILE PROPERTIES OF METAL MATRIX COMPOSITES WITH FIBER－END DEBONDING

ＡＳＴＵＤＹＯＦＴＨＥＥＬＡＳＴＯ－ＰＬＡＳＴＩＣＡＸＩＡＬＬＹＴＥＮＳＩＬＥＰＲＯＰＥＲＴＩＥＳＯＦＭＥＴＡＬＭＡＴＲＩＸＣＯＭＰＯＳＩＴＥＳＷＩＴＨＦＩＢＥＲ－ＥＮＤＤＥＢＯＮＤＩＮＧＳｕＸｉａｏｆｅｎｇ（苏晓风）ＣｈｅｎＨａｏｒａｎ（陈浩然）（...     

Geometrical nonlinear elasto-plastic analysis of tensegrity systems via the co-rotational method

An efficient finite element formulation is presented for geometrical nonlinear elasto-plastic analyses of tensegrity systems based on the co-rotational method. Large displacement of a space rod element is decomposed into a rigid body motion in the global coordinate system and a pure small deformation in the local coordinate system. A new form of tangent stiffness matrix, including elastic and elasto-plastic stages is derived based on the proposed approach. An incremental-iterative solution strategy in conjunction with the Newton-Raphson method is employed to obtain the geometrical nonlinear elasto-plastic behavior of tensegrities. Several numerical examples are given to illustrate the validity and efficiency of the proposed algorithm for geometrical nonlinear elasto-plastic analyses of tensegrity structures.     

基于显式有限元方法的两相介质弹塑性动力反应计算分析

针对增量形式的流体饱和两相多孔介质弹塑性波动方程组,运用基于显式逐步积分格式的时域显式有限元方法对该波动方程组进行求解,并应用基于SMP破坏准则的弹塑性动力本构模型描述两相介质的动力反应性质,对两相介质在输入地震波作用下的弹塑性动力反应进行计算和分析,将计算结果与相应的弹性动力反应的计算结果进行对比;对本文应用的弹塑性...     

EFFECTS OF MICROSTRUCTURE ON THE MACROSCOPIC ELASTO-PLASTIC PROPERTIES OF METAL MATRIX COMPOSITES

The generalized self-consistent finite-element iterative averaging method was adopted toanalyze the elasto-plastic tensile properties of SiC whiskers reinforced aluminum matrix composites.The effects of varying fiber's aspect ratio and volume fraction on the macroscopic elasto-plastic defor-mation of the composites were studied.By the analysis of microscopic stress fields,the relation be-tween the propagation of the elasto-plastic region in the matrix and the macroscopic elasto-plastic de-formation of composites was discussed.It was found that the propagation of the plastic region in thematrix between the fiber's ends would affect prominently the elasto-plastic tensile behaviour of thecomposites.It was shown that the characterization of the stress-strain response in terms of the 0.2%offset yield strength is incomplete.     

Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact

Based on the elasto-plastic mechanics, the damage analysis and dynamic response of an elasto-plastic laminated composite shallow spherical shell under low velocity impact are carried out in this paper. Firstly, a yielding criterion related to spherical tensor of stress is proposed to model the mixed hardening orthotropic material, and accordingly an incremental elasto-plastic damage constitutive relation for the laminated shallow spherical shell is founded when a strain-based Hashin failure criterion is applied to assess the damage initiation and propagation. Secondly, using the presented constitutive relations and the classical nonlinear shell theory, a series of incremental nonlinear motion equations of orthotropic moderately thick laminated shallow spherical shell are obtained. The questions are solved by using the orthogonal collocation point method, Newmark method and iterative method synthetically. Finally, a modified elasto-plastic contact law is developed to determine the normal contact force and the effect of damage, geometrical parameters, elasto-plastic contact and boundary conditions on the contact force and the dynamic response of the structure under low velocity impact are investigated.     

沥青路面弹塑性动力响应分析

采用弹塑性理论,建立了沥青路面弹塑性动力响应分析的三维有限元模型,利用有限元法分析了沥青路面的弹性和弹塑性动力响应、以及弹塑性状态下层间接触对沥青路面力学性能的影响．结果表明：在相同条件下,沥青路面为弹塑性状态时得到的弯沉和最大主应变均比弹性状态时大;卸载后,弹塑性状态时存在残余变形,说明沥青路面的弹塑性动力学响应分析得到的结果和路面实际情况较符合;沥青路面在弹塑性状态下,层间完全光滑时其弯沉是完全连续时的6 倍,上面层最大竖向应变是层间连续时的3.7 倍,下面层处最大竖向应变是层间连续时的2.3 倍;卸载后,层间完全光滑时,面层A 点与B 点均存在残余应变;随着层间摩擦系数的增大,路面弯沉值减少,说明在弹塑性状态下,层间接触状态对沥青路面的动力响应有较大影响．     

Elasto-plastic buckling and post-buckling analysis of sandwich plates with functionally graded metal-metal face sheets and interfacial damage简

Based on the elasto-plastic theory, considering the effect of spherical stress tensor on the elasto-plastic deformation and using the slicing treatment to deal with the plasticity of functionally graded coatings, the elasto-plastic increment constitutive equations of the sandwich plates with functionally graded metal-metal face sheets can be derived. Applying the weak bonded theory to the interfacial constitutive relation and taking into account the geometric nonlinearity, the nonlinear increment differential equilibrium equations of the sandwich plates with functionally graded metal-metal face sheets are obtained by the minimum potential energy principle. The finite difference method and the iterative method are used to obtain the post-buckling path. When the effect of geometrical nonlinearity of the plate is ignored, the elasto-plastic critical buckling load of the sandwich plates with functionally graded metal-metal face sheets can be solved by the Galerkin method and the iterative method. In the numerical examples, the effects of the interface damages, the induced load ratio, the functionally graded index, and the geometry parameters on the elasto-plastic post-buckling path and the elasto-plastic critical buckling load are investigated.     

摩擦接触弹塑性分析的数学规划法

本文提出摩擦接触弹塑性分析的数学规划法,是弹性接触问题解法的推广,使之能处理比例加载时的塑性效应。利用所导出接触问题总刚度阵的逆,结合参变量线性互补公式,仍可消去由接触单元而引入的惩罚因子。于是,可以获得一个弹塑性问题、弹性接触和弹塑性接触问题的有限元参数二次规划法模型。所选的几个实例说明了方法的实用性。     

Endochronic analysis for rate-dependentelasto-plastic deformation

This work presents a novel formulation of the scaling function of the intrinsic timescale. The new formulated scaling function and the rate-sensitivity function are used in theendochronic theory to simulate the rate-dependent elasto-plastic behaviors of materials. Severalcases of rate-dependent elasto-plastic material responses are discussed separately. Experimentaldata found in literature of 304 stainless steels and Ti₇Al₂Cb₁Tatitanium alloy for rate-dependent elasto-plastic responses are used for comparison. It is shownthat the theory adequately simulates the experimental results.     

本构模型对复合材料中X射线热击波数值模拟结果的影响

以碳酚醛靶中的一维应变热击波为例,讨论本构模型对热击波数值模拟结果的影响.数值模拟采用3种本构模型,即各向同性理想弹塑性本构模型、各向异性理想弹塑性本构模型及各向异性动态弹塑性本构模型.结果表明:与各向同性理想弹塑性、各向异性理想弹塑性本构模型相比,利用各向异性动态弹塑性本构模型获得的热击波应力峰值较小、应力峰值衰减较...