Mixed finite element for modelling interfaces

被引:6
作者
Bouziane, Salah [1 ]
Bouzerd, Hamoudi [1 ]
Guenfoud, Mohamed [2 ]
机构
[1] Univ Skikda, Dept Civil Engn, Skikda, Algeria
[2] Univ Guelma, Lab Civil Engn & Hydraul, Guelma, Algeria
来源
EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2009年 / 18卷 / 02期
关键词
mixed finite element; interface; Reissner's mixed variational principle; modelling;
D O I
10.3166/EJCM.18.155-175
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A special finite element based on Reissner's mixed variational principle has been presented to model interface between two materials. The present element is a 7-node two dimensional mixed finite element with 5 displacement nodes and 2 stress nodes. The mixed interface finite element ensures the continuity of stress and displacement vectors at the interface on the coherent part and the discontinuity of this one on the cracked part. This element has been formulated starting from a parent element in a natural plane with an aim of modelling different types of interfaces with various orientations. This work is essentially devoted to the formulation of the interface element and the study of convergence and validation of this element. Results obtained from the present mixed interface element have been shown to be in good agreement with the analytical solutions.
引用
收藏
页码:155 / 175
页数:21
相关论文
共 24 条
[11]  
Gallagher R. H., 1976, INTRO ELEMENTS FINIS
[12]  
Habib M., 1989, THESIS
[13]  
HERRMANN LR, 1966, P C MATRIX METHODS S, P577
[14]   THE MIXED FINITE-ELEMENT METHOD IN ELASTIC AND ELASTO-PLASTIC AXISYMMETRIC PROBLEMS [J].
MAHAPATRA, RC ;
DASGUPTA, SP .
COMPUTERS & STRUCTURES, 1988, 30 (05) :1047-1065
[15]   MIXED FINITE-ELEMENT METHOD IN PLANE ELASTICITY [J].
MIRZA, FA ;
OLSON, MD .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1980, 15 (02) :273-289
[16]  
NOOR AK, 1983, STATE ART SURVEYS FI, P127
[18]   Application of a three-dimensional mixed finite element model to the flexure of sandwich plate [J].
Ramtekkar, GS ;
Desai, YM ;
Shah, AH .
COMPUTERS & STRUCTURES, 2003, 81 (22-23) :2183-2198
[19]   Mixed finite-element model for thick composite laminated plates [J].
Ramtekkar, GS ;
Desai, YM ;
Shah, AH .
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2002, 9 (02) :133-156
[20]   ON A VARIATIONAL THEOREM IN ELASTICITY [J].
REISSNER, E .
JOURNAL OF MATHEMATICS AND PHYSICS, 1950, 29 (02) :90-95