摘要
证明了平面弹性问题的虚位移原理,提出了一个新的非协调有限元解决纯位移边界条件下的Locking现象,该方法是Robust和Optimal,证明了能量模的收敛性,并且证明了误差估计结果与参数λ无关.
In this paper, The virtual displacement principle is proved for planar linear elastic- ity, we propose a new nonconforming finite element method to solve locking-Free phenomena in the pure displacement boundary value problem, the method proposed is robust and optimal, in the sense that the convergence estimate in the energy is independent of the lame parameter
出处
《数学的实践与认识》
CSCD
北大核心
2012年第5期180-186,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10771198)