A finite volume method for incompressible linear elasticity

被引：71
作者：
Bijelonja, I.
Demirdzic, I.
Muzaferija, S.
机构：
[1] CD Adapco, D-90402 Nurnberg, Germany
[2] Masinski Fak Sarajevo, Sarajevo 71000, Bosnia & Herceg
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 44-47期
关键词：
finite volume method; incompressible body; elasticity;
D O I：
10.1016/j.cma.2006.01.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper describes development of a finite volume based method for modelling of incompressible linear elastic body problems. The method is based on the solution of the integral form of conservation equations governing momentum balance and the introduction of pressure as an additional variable. The incompressibility is enforced by employing the volumetric constraint equation. A collocated variable arrangement is used and the spatial domain is discretised using finite volumes of arbitrary polyhedral shapes. A segregated approach is employed to solve resulting set of coupled linear algebraic equations, embedding a SIMPLE based algorithm for displacement-pressure coupling. Numerical experiments showed that the developed method appears to be locking free. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：6378 / 6390
页数：13
相关论文
共 25 条
[1]  
[Anonymous], 1980, SERIES COMPUTATIONAL, DOI [DOI 10.1201/9781482234213, 10.1201/9781482234213]
[2]   Energy release rates in a constrained epoxy disc with Hookean and Mooney-Rivlin materials [J].
Batra, RC ;
Ching, HK .
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2002, 38 (02) :165-175
[3]   HOURGLASS CONTROL IN LINEAR AND NONLINEAR PROBLEMS [J].
BELYTSCHKO, T ;
ONG, JSJ ;
LIU, WK ;
KENNEDY, JM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 43 (03) :251-276
[4]   EFFICIENT IMPLEMENTATION OF QUADRILATERALS WITH HIGH COARSE-MESH ACCURACY [J].
BELYTSCHKO, T ;
BACHRACH, WE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 54 (03) :279-301
[5]   A finite volume method for large strain analysis of incompressible hyperelastic materials [J].
Bijelonja, I ;
Demirdzic, I ;
Muzaferija, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 64 (12) :1594-1609
[6]   A pressure projection method for nearly incompressible rubber hyperelasticity .1. Theory [J].
Chen, JS ;
Pan, CH .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1996, 63 (04) :862-868
[7]   NUMERICAL-METHOD FOR COUPLED FLUID-FLOW, HEAT-TRANSFER AND STRESS-ANALYSIS USING UNSTRUCTURED MOVING MESHES WITH CELLS OF ARBITRARY TOPOLOGY [J].
DEMIRDZIC, I ;
MUZAFERIJA, S .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 125 (1-4) :235-255
[8]   FINITE-VOLUME METHOD FOR STRESS-ANALYSIS IN COMPLEX DOMAINS [J].
DEMIRDZIC, I ;
MUZAFERIJA, S .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (21) :3751-3766
[9]  
Dolbow J, 1999, INT J NUMER METH ENG, V46, P925, DOI 10.1002/(SICI)1097-0207(19991030)46:6<925::AID-NME729>3.3.CO
[10]  
2-P
123