Variational Inequalities and the Elastic-Plastic Torsion Problem

We show that, under suitable conditions, the variational inequality that expresses the elastic-plastic torsion problem is equivalent to a variational inequality on a convex set which depends on (x)=d(x, ). Such an equivalence allows us to find the related Lagrange multipliers and to exhibit a computational procedure based on the subgradient method.     

膜基组件微硬度量测的数值模拟

采用轴对称弹塑性有限元计算模拟了膜基组件的微硬度量测过程，得到了压头与膜体间无摩擦时组件的变形、塑性区和接触压力分布，针对Ａｌ／Ｓｉ与Ｓｉ／Ａｌ两种膜基组件得到了微硬度和压下量的关系曲线。     

加筋板的非线性相关屈曲研究

本文将线性样条有限条理论推广到大挠度弹塑性范围,建立了样条有限条非线性分析方法,成功地分析了纵向加筋板结构局部与整体稳定相关作用对其极限承载能力的影响.采用弧长法和Newton-Raphson迭代求解非线性刚度方程,可获得包括峰值点在内的一条完整的荷载—挠度曲线.分析中考虑了加筋板结构的初曲和残余应力的影响,使得计算结果更具实用价值.     

LY12复合型断裂的实验研究

应用有限元方法和断裂实验对铝合金ＬＹ１２在Ｉ＋Ⅱ型复合载荷作用下的弹塑性断裂行为进行了研究，给出了复合型弹塑性断裂的Ｊ积分准则，结果表明：（１）不同复合型下启裂Ｊ积分值满足ＪＩｉ／ＪＩｃ＋ＪⅡｉ／ＪⅡｃ＝１，ＪＭＣ＝ＪＩｉ＋ＪⅡｉ的关系，随Ⅱ型分量增加，启裂的Ｊ积分值ＪＭＣ增加ＪＩＣ为ＪＩＣ的两部；（２）ＪＭＣ值与复合比满足ＪＭＣ＝Ｋ＾２Ｉ．ＪＩＣ／（Ｋ＾２１＋αＫ＾２ＩＩ）＋αＫ＾２Ｉ．ＪＩＣ／     

青藏高原多年冻土区热融滑塌变形现场监测分析

为了了解青藏高原多年冻土区K3035里程热融滑塌体的变形特征,分别在未滑动土体、近滑塌前缘滑体中布设了2个变形监测孔,利用Geokon-603型测斜仪实施了近1 a的变形监测。结果表明,发育在平缓斜坡上的热融滑塌具有明显的变形特征,其位移主要发生在土层浅部,越往深部,位移越小,这一监测结果通过室内数值模拟得到了验证。将阳坡的K3035热融滑塌与阴坡的K3057热融滑塌体的变形做了对比监测,无论是滑塌体后缘还是前缘,前者的滑动变形均显著大于后者。而无热融滑塌发育的斜坡(青藏铁路DK1139)土体变形量极小,这种差异一方面说明了开挖是导致热融滑塌发生的直接因素,另一方面,由于热融滑塌的影响,其后缘相对稳定的原斜坡土体也处于相对较大的蠕变变形之中。     

Recursive super-convergence computation for multi-dimensional problems via one-dimensional element energy projection technique

This paper presents a strategy for computation of super-convergent solutions of multi-dimensional problems in the finite element method (FEM) by recursive application of the one-dimensional (1D) element energy projection (EEP) technique. The main idea is to conceptually treat multi-dimensional problems as generalized 1D problems, based on which the concepts of generalized 1D FEM and its consequent EEP formulae have been developed in a unified manner. Equipped with these concepts, multi-dimensional problems can be recursively discretized in one dimension at each step, until a fully discretized standard finite element (FE) model is reached. This conceptual dimension-by-dimension (D-by-D) discretization procedure is entirely equivalent to a full FE discretization. As a reverse D-by-D recovery procedure, by using the unified EEP formulae together with proper extraction of the generalized nodal solutions, super-convergent displacements and first derivatives for two-dimensional (2D) and three-dimensional (3D) problems can be obtained over the domain. Numerical examples of 3D Poisson’s equation and elasticity problem are given to verify the feasibility and effectiveness of the proposed strategy.     

夹层结构杆在弹性基础上的弹塑性变形

对位于弹性基底上的、具有可压缩非线性芯子的3层弹塑性杆的弯曲问题进行了研究．研究分析了由2个受力层和1个芯子层组成的3层构件的力学响应．解决了位于弹性基底上的3层杆弯曲的复杂问题．对所给出的弹性解法进行了收敛性检验,以保证该弹性解是可以接受的．计算结果表明,材料的塑性和物理非线性对位于弹性基底上的夹层结构杆的变形影响很大．     

Near crack line elastic-plastic analysis for a finite plate loaded by two pairs of antiplane point forces

I.IntroductionThenearcracklineanalysismethodhasbeengreatlyimprovedbyYill'2].In[l,21,theimprovednearcracklineanalysismethodhasbeenusedtoinvestigateamodeIllcrackinanelastic-perfectlyplasticsolid.Andthesmallscaleyieldingconditionshavebeencompletelyabandoned,andcompletelynewandprecisesolutionsoftheelastic-plasticfieldsofamodeillstationarycrackandamodelillquasi-staticallygrowingcrackwithremotealltiplaneshearinginanelastic-perfectlyplastic'materialhavebeenobtained,respectively.In[3]weanalyzedthene…     

The simple shear oscillation and the restrictions to elastic-plastic constitutive relations

Based on the definitions of hardening, softening and ideal plastic behavior of elastic-plastic materials in the true stress tensor space, the phenomena of simple shear oscillation are shown to be relative to the oscillatory occurrence of hardening and softening behavior of elastic-plastic materials, namely the oscillation of hardening behavior, by analyzing a simple model of rigid-plastic materials with kinematical hardening under simple shear deformation. To make the models of elastic-plastic materials realistic, must be satisfied the following conditions: for any constitutive model, its response stresses to any continuous plastic deformation must be non-oscillatory, and there is no oscillation of hardening behavior during the plastic deformation.     

基于mbS模式的有限单元法

mbS模式及其有限元法是在固体和结构分析模型中引入薄膜、弯曲和剪切理论，且采用纯拉压、纯弯和纯剪单元进行分析的数值方法。在时空系中剖分物质单元和时间单元上构造以指数函数和贝塞尔函数为插入函数且按Lagrange插值条件的薄膜、弯曲和剪切等基本位移函数，由此得到更加完备和耦合的固体和结构实体单元的变形模式，根据能量泛函变分原理得到静动力有限元基本方程的一致格式。研究表明，mbS模式及其有限元法可用于梁柱和板壳等结构的静动力分析及屈曲分析。