拉压不同模量有限元法剪切弹性模量及加速收敛  

Modulus of elasticity in shear and accelerate convergence of different extension compression elastic modulus finite element method

作　　者：刘相斌[1] 张允真[2] 

机构地区：[1]大连理工大学土木工程系,辽宁大连116024 [2]大连理工大学工程力学系,辽宁大连116024

出　　处：《大连理工大学学报》2000年第5期526-530,共5页Journal of Dalian University of Technology

摘　　要：从理论上论述了不同模量问题的剪切弹性模量对数值计算收敛性的影响 ,提出了一种不仅同主应力符号而且同主应力大小有关的剪切弹性模量的确定方法 .在此基础上提出了加速收敛因子 η ,运用 η参与运算 ,使各种不同模量问题有限元计算的收敛速度加快 ,尤其是对大型复杂的、实际的不同模量问题效果更为明显 .This paper discusses the influence from the modulus of elasticity in the shear of different extension compression modulus problem to the convergence of the numerical calculation, and puts forword a method relating not only to the sign of the principal stress but also the the dimension of the principal stress to determine the modulus of elasticity in the shear. On the basis of this theory this paper puts forward a factor η for accelerating convergence, and using this η to join the numerical calculation of every different modulus problem makes the convergence velocity accelerate obviously, especially for the large scale complex and practical problem of different modulus.

关 键 词：剪切弹性模量 拉压不同模量 收敛性 弹性力学 

分 类 号：O343.5[理学—固体力学]