THE MOIR GEOMETRY OF PLANE FINITE STRAIN AND ROTATION

It is justified in this paper that the founda-tion of mathematical theory(12)of finite deforma-tion by the method of co-moving coordinate is iden-tical to Moire method in experimental mechanics.Hence.the important practical value of this theoryis further ascertained.     

橡胶环直径方向受压大变形问题

本文基于变形梯度和分解定理(S-R定理)和拖带坐标描述法,应用有限元方法,计算了橡胶环直径方向受压接触大变形问题。并将结果与Durelli的实验进行了系统的比较,取得了令人满意的相符结果。表明了本程序在计算大变形问题时具有较高计算速度和精度之优点。     

Theory of nonlocal asymmetric elastic solids

In this paper, a nonlinear theory of nonlocal asymmetric, elastic solids is developed on the basis of basic theories of nonlocal continuum fieM theory and nonlinear continuum mechanics. It perfects and expands the nonlocal elastic fiteld theory developed by Eringen and others. The linear theory of nonlocal asymmetric elasticity developed in [1] expands to the finite deformation, We show that there is the nonlocal body moment in the nonlocal elastic solids. The noniocal body moment causes the stress asymmetric and itself is caused by the covalent bond formed by the reaction between atoms. The theory developed in this paper is applied to explain reasonably that curves of dispersion relation of one-dimensional plane longitudinal waves are not similar with those of transverse waves.     

带有摩擦的单边接触大变形问题的研究(Ⅰ)——增量变分方程

本文以非线性连续体几何场论为基本理论和方法,建立了拖带坐标下弹塑性大变形增量变分方程的更一般表示式.给出了二维、三维连续体接触边界变化率公式,得到了变边界接触大变形增量变分公式和速率型变分不等式,为有限元计算求解带有摩擦弹塑性大变形接触问题提供了理论基础.     

论拖带坐标系中应力的客观速率

应力客观速率是有限变形力学中一个十分重要的问题,本文利用非线性几何场论方法,推导出拖带坐标系中应力客观速率公式,并应用新公式计算了拉伸、拉伸与转动复合、简单剪切大变形问题.通过将计算结果与用Jaumann等其它应力速率计算的结果进行比较,说明了本文所得结果是合理的.     

Photoelectric-computer data processing (PCP) program in experimental photo-stress analysis

A photoelectric-computer data processing(PCP)prog-ram in experimental photo-stress analysis is presented in this paper.The basic equation of photoelastic stress analysis by Chen(1962)is adopted,and a cubic spline function suitable for processing photoelastic data is derived.This program requires minimum data input to the computer.It has been proved that the program is more accurate and more time-saving than any other methods so far as we know.     

板、壳有限变形分析

薄平板的有限变形理论在1874年出版的Kirchhoff的力学教程中已有讲述,并引入中法线守恒的简化变形假设。在壳体变形理论方面,Aron(1874)首先采用Gauss的曲面参数表示法建立中面几何学,并用弹性力学的一般观点求得薄壳形变势能表达式,结果和Kirchhoff在板问题所得形式相同。但在十九世纪,对板壳力学的发展障碍,是没有建立和梁结构力学方法一样具有简单数学结构的微分方程,藉以解答各类边界支承的实用板壳问题。在本世纪初期,Love,Flügge,Timoshenko等人对板壳理论作了全面发展,他们的贡献是人们所熟知的。但由于缺乏一种严格的数学分析方法,各位学者对板壳空间变形的应变分量与曲率改变的计算公式存在差异,引起长期争论,问题难以解决。      

ON LARGE DEFORMATION UNILATERAL CONTACT PROBLEM WITH FRICTION (I)—INCREMENTAL VARIATIONAL EQUATIONS

Based on the theory and technique of nonlinear geometric field theory of continuum, a more general incremental variational equation for elastic and plastic large deformation in co-moving coordinate is established in this paper. An expression for two and three-dimensional continua is derived, and the incremental variational equation for large deformation of changing boundary contact and the variational inequality in rate form are obtained, which provides the theoretical basis for the computation of elastic-plastic large deformation contact problem with friction.     

光弹性力学应力分析的新方法

本文提出的光弹性应力分析方法,仅已知三个截面的等差线条纹级数及其边界上的主应力方向角,就可进行应力分析,不仅极大地减少了输入的已知数据和简化了计算程序,而且提高了应力分析精度,加快了计算速度.