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.
出处
《固体力学学报》
CAS
CSCD
北大核心
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
关键词
大变形
粘弹性
自适应
有限元
迭代
viscoelasticity, large deformation, adaptive computing, finite element, iteration
