一种求解粘弹性大变形问题的时域分段展开算法

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。

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

Abstract: 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 Update-Lagrange FE formula. The iteration, except at the initial time interval where a large deformation elastic 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.