摘要
本文导出了非线性弹性及全量弹塑性有限元分析中的一致性切线模量,从而可以保持牛顿迭代法固有的平方收敛速度.指出了某些文献中关于切线模量的不正确表述,并以数值算例验证了本文方法的正确有效.
Consistent tangent moduli for finite element analysis of nonlinear elasticity or total elastoplasticity are deduced to preserve the asymptotic rate of quadratic convergency possessed by the Newton iteration method. Some misunderstanding about the tangent moduli in previous references are pointed out, and numerical tests are given to show the simplicity and effectiveness of the present method.
出处
《应用力学学报》
CAS
CSCD
北大核心
1992年第1期70-76,138,共7页
Chinese Journal of Applied Mechanics
关键词
有限元法
非线性弹性
全量弹塑性
finite element method
nonlinear elasticity
total elastoplasticity
Newton iteration
consistent tangent moduli