摘要
利用无网格自然邻接点法分析弹塑性材料的大变形问题.选择更适合于分析固体力学弹塑性大变形问题的Lagrange分析格式,给出大变形情况下的弹塑性本构关系,得到增量形式的本构表达式和矩阵形式,编制了二维弹塑性无网格自然邻接点法大变形程序.最后,对悬臂深梁进行程序验证,计算结果与有限元法的比较结果表明该方法能够很好地解决弹塑性材料的大变形问题.
Meshless natural neighbour method is used to solve large deformation problems of elasto - plastic material. Lagrangian formulation is more suitable to analyze large strain problems in solid mechanics, the matrix form of elasto - plastic constitutive is deduced. Elasto - plastic constitutive relationships are analyzed and constitutive expressions in incremental mode are obtained. 2D elasto - plastic large deformation program has been worked out. Finally distortion result of cantilever beam is accomplished to test and verify the theory and program. The comparison of the calculated results with those obtained using finite elements method shows that the proposed methods can solve large deformation problems of elasto - plastic material well.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期242-247,共6页
Journal of Fuzhou University(Natural Science Edition)
关键词
无网格自然邻接点法
大变形
弹塑性材料
meshless natural neighbour method
large deformation
elasto- plastic material
