An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems

被引：140

作者：

Galvanetto, Ugo ^{[1
,2
]}

Mudric, Teo ^{[1
,2
]}

Shojaei, Arman ^{[1
,2
]}

Zaccariotto, Mirco ^{[1
,2
]}

机构：

[1] Univ Padua, Dept Ind Engn, V Venezia 1, I-35131 Padua, Italy

[2] Ctr Studies & Act Space CISAS G Colombo, V Venezia 15, I-35131 Padua, Italy

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2016年 / 76卷

关键词：

Peridynamics; Coupling; Non-local theory; Finite element method; Surface effects; FINITE-ELEMENT-METHOD; CLASSICAL ELASTICITY; SOLID MECHANICS;

D O I：

10.1016/j.mechrescom.2016.06.006

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Peridynamics is a continuum theory based on a non-local approach and capable of dealing with discontinuous displacement fields. The paper presents a technique to couple Peridynamic grids and finite element meshes to solve static equilibrium problems. The domain is divided in two zones: one discretized by the Peridynamic grid and the other where the Finite Element Method is applied. The coupling is achieved by considering that Peridynamics bonds act only on Peridynamic nodes, whereas finite elements apply forces only on finite element nodes. The proposed method was applied to study 1D and 2D examples. No problem in the zone of the structure where the two approaches are merged is observed. The results show that the coupling method is very effective and its simplicity suggests it can be easily introduced in commercial finite element codes. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：41 / 47

页数：7

共 22 条

[1]

[Anonymous], 1968, THEORY MATRIX STRUCT

[2]

[Anonymous], 1982, ELASTIC MEDIA MICROS

[3]

Bobaru F., 2009, INT J NUMER METHODS, V77

[4]

Hughes Thomas J., 1987, FINITE ELEMENT METHO