一种求解粘弹性大变形问题的时域分段展开算法  

A PIECEWISE TEMPORAL EXPANDING ALGORITHM TO SOLVE VISCOELASTIC PROBLEMS WITH LARGE DEFORMATION

作　　者：韩治[1] 杨海天[1] 

机构地区：[1]大连理工大学工程力学系,工业装备结构分析国家重点实验室,大连116023

出　　处：《固体力学学报》2013年第4期380-387,共8页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(10172024;10772035和11072043);国家重点基础研究规划项目(2010CB832703)资助

摘　　要：利用展开技术,提出一种求解粘弹性大变形问题的时域分段自适应算法,建立了显式递推格式的Update-Lagrange有限元求解模式,只需在初始时刻迭代求解一个瞬时弹性大变形问题,其它时段均不需迭代计算,并可通过展开阶数对计算精度的控制,实现时域的自适应计算,数值算例表明所提算法可行有效.By utilizing an expanding technique,this paper presents a piecewised adaptive algorithm in time domain to solve viscoelastic problems with large deformation, and develops an explicit recursive Up- date-Lagrange FE formula. The iteration,except at the initial time interval where a large deformation elas- tic problem is needed to solve,is not required at any other time interval. A self-adaptive computing can be realized by controlling the computing accuracy via the increase of expanding powers. Numerical verification provides satisfactory results.

关 键 词：大变形 粘弹性 自适应 有限元 迭代 

分 类 号：O343.6[理学—固体力学] O241.82[理学—力学]