AN ADVANCED BOUNDARY ELEMENT METHOD FOR ELASTICITY PROBLEMS IN NONHOMOGENEOUS MEDIA

被引:18
作者
SLADEK, V
SLADEK, J
MARKECHOVA, I
机构
[1] Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava
关键词
D O I
10.1007/BF01173143
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents a new boundary element method formulation and numerical implementation of elasticity problems in nonhomogeneous media. The fundamental solutions for elasticity in homogeneous media are employed and the nonsingular formulation is derived. A physically and mathematically meaningful elimination of internal degrees of freedom is proposed. The solution at an arbitrary point is expressed in terms of boundary displacements and tractions. The rank of the system matrix (for computation of relevant unknowns) is dependent only on the discretization of the boundary.
引用
收藏
页码:71 / 90
页数:20
相关论文
共 15 条
[1]  
Balas J., 1989, STRESS ANAL BOUNDARY
[2]  
Brebbia C.A., 1984, BOUNDARY ELEMENT TEC
[3]  
Butterfield R., 1978, Recent advances in boundary element methods, P123
[4]  
GHOSH S, 1984, INT J SOLIDS STRUCT, V20, P829, DOI 10.1016/0020-7683(84)90053-2
[5]  
Lomakin V. A., 1976, THEORY NONHOMOGENEOU
[6]  
Markechova I., 1989, Acta Technica CSAV, V34, P487
[7]  
RALSTON A, 1965, 1ST COURSE NUMERICAL
[8]   BOUNDARY ELEMENT METHOD ANALYSIS OF STATIONARY THERMOELASTICITY PROBLEMS IN NONHOMOGENEOUS MEDIA [J].
SLADEK, J ;
SLADEK, V ;
MARKECHOVA, I .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 30 (03) :505-516
[9]   NONSINGULAR BOUNDARY INTEGRAL-REPRESENTATION OF STRESSES [J].
SLADEK, V ;
SLADEK, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 33 (07) :1481-1499
[10]   3-DIMENSIONAL CRACK ANALYSIS FOR AN ANISOTROPIC BODY [J].
SLADEK, V ;
SLADEK, J .
APPLIED MATHEMATICAL MODELLING, 1982, 6 (05) :374-380