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无网格法在弹塑性材料大变形问题中的应用
引用本文:李梅,周瑞忠.无网格法在弹塑性材料大变形问题中的应用[J].福州大学学报(自然科学版),2009,37(2).
作者姓名:李梅  周瑞忠
作者单位:福州大学土木工程学院,福建,福州,350002  
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.

关 键 词:无网格自然邻接点法  大变形  弹塑性材料

Application of meshless natural neighbour method to large deformation problems of elasto-plastic material
LI Mei,ZHOU Rui-zhong.Application of meshless natural neighbour method to large deformation problems of elasto-plastic material[J].Journal of Fuzhou University(Natural Science Edition),2009,37(2).
Authors:LI Mei  ZHOU Rui-zhong
Institution:College of Civil Engineering;Fuzhou University;Fuzhou;Fujian 350002;China
Abstract: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 ver...
Keywords:meshless natural neighbour method  large deformation  elasto-plastic material  
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