Matlab implementation of the finite element method in elasticity

被引：90

作者：

Alberty, J

Carstensen, C

Funken, SA

Klose, R

机构：

[1] Univ Kiel, Math Seminar, Bereich 2, D-24098 Kiel, Germany

[2] Vienna Univ Technol, Inst Appl Math & Numer Anal, A-1040 Vienna, Austria

来源：

COMPUTING | 2002年 / 69卷 / 03期

关键词：

finite element method; elasticity; Matlab;

D O I：

10.1007/s00607-002-1459-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A short Matlab implementation for P-1 and Q(1) finite elements (FE) is provided for the numerical solution of 2d and 3d problems in linear elasticity with mixed boundary conditions. Any adaptation from the simple model examples provided to more complex problems can easily be performed with the given documentation. Numerical examples with postprocessing and error estimation via an averaged stress field illustrate the new Matlab tool and its flexibility.

引用

页码：239 / 263

页数：25

共 50 条

[1] Matlab Implementation of the Finite Element Method in Elasticity
J. Alberty
C. Carstensen
S. A. Funken
R. Klose
Computing, 2002, 69 : 239 - 263
[2] A PETSc-Based Parallel Implementation of Finite Element Method for Elasticity Problems
Zhang, Jianfei
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[3] GPU-based implementation of finite element method for elasticity using CUDA
Zhang, Jianfei
Shen, Defei
2013 IEEE 15TH INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE COMPUTING AND COMMUNICATIONS & 2013 IEEE INTERNATIONAL CONFERENCE ON EMBEDDED AND UBIQUITOUS COMPUTING (HPCC_EUC), 2013, : 1003 - 1008
[4] Finite element method for Cosserat elasticity
Providas, E
Kattis, MA
COMPUTATIONAL TECHNIQUES FOR MATERIALS, COMPOSITES AND COMPOSITE STRUCTURES, 2000, : 47 - 56
[5] Finite element implementation of a non-local particle method for elasticity and fracture analysis
Lin, Enqiang
Chen, Hailong
Liu, Yongming
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2015, 93 : 1 - 11
[6] THE FINITE-ELEMENT METHOD FOR NONLINEAR ELASTICITY
LI, ZP
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1989, 7 (01): : 1 - 14
[7] CONVERGENCE OF FINITE ELEMENT METHOD IN THEORY OF ELASTICITY
JOHNSON, MW
MCLAY, RW
JOURNAL OF APPLIED MECHANICS, 1968, 35 (02): : 274 - &
[8] CONVERGENCE OF FINITE ELEMENT METHOD IN THEORY OF ELASTICITY
JOHNSON, MW
MCLAY, RW
MECHANICAL ENGINEERING, 1968, 90 (08) : 56 - &
[9] Finite element method in plane Cosserat elasticity
Providas, E
Kattis, MA
COMPUTERS & STRUCTURES, 2002, 80 (27-30) : 2059 - 2069
[10] An introduction to the finite element method using MATLAB
Mueller, Donald W.
International Journal of Mechanical Engineering Education, 2002, 33 (03) : 260 - 277

← 1 2 3 4 5 →