Scaled boundary polygons for linear elastodynamics

被引：30

作者：

Gravenkamp, Hauke ^{[1
]}

Natarajan, Sundararajan ^{[2
]}

机构：

[1] Univ Duisburg Essen, Dept Civil Engn, D-45141 Essen, Germany

[2] Indian Inst Technol, Dept Mech Engn, Integrated Modelling & Simulat Lab, Madras 600036, Tamil Nadu, India

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2018年 / 333卷

关键词：

SBFEM; Scaled boundary polygons; Polygonal elements; Wave propagation; Elastodynamics; FINITE-ELEMENT-METHOD; ELASTIC WAVE-GUIDES; SHAPE FUNCTIONS; POLYHEDRAL MESHES; CRACK-PROPAGATION; QUADTREE MESHES; CELL METHOD; COMPUTATION; SIMULATION; CONSTRUCTION;

D O I：

10.1016/j.cma.2018.01.031

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A polygonal scaled boundary finite element method (SBFEM) is proposed for linear elastodynamics in two dimensions. The domain is divided into non-overlapping polygonal elements, and the scaled boundary finite element approach is employed over each polygon. The advantages are that an arbitrary interpolation order can be used on each polygon and we can choose the optimal element order on each edge individually. Moreover, the SBFEM simplifies the numerical integration over the polygons when compared to conventional approaches. The dynamic stiffness matrix is computed by employing the continued fraction expansion. The influence of the shape of the polygon and the element order on the boundary of each polygon are studied. The robustness and the accuracy of the approach are demonstrated with numerical examples. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：238 / 256

页数：19

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