离散介质中应变计算的非线性插值方法

Nonlinear interpolation method for strain calculation in discrete media

分析了离散介质中的应变计算特点,采用‘等效连续’的运动均一化技术,对空间三角化线性插值方法作了类似于更新Lagrange格式的修正。在此基础上,提出了离散介质应变计算的无网格非线性插值算法,并给出了二维验证。初步研究表明,采用的应变计算方法与试样的宏观应变相吻合,比起三角化方法更能体现细观局部的应变特征,因此更适合于研究如剪切带等应变局部化问题。

The characteristics of strain calculation in discrete media were analyze. Based on the ＇equivalent continuum＇ approach, a modification was made to the spatial triangulation method, similar to the updated Lagrangian method in continuum mechanics. A nonlinear meshfree interpolation method was suggested to calculate the strain in discrete media and a brief verification was made in two-dimensional case, It was indicate that the calculated strains were well matched to global strain and more suitable for problems involving localizations such as shear bands, compard with those obtained by spatial triangulation method.