THE DTN FINITE-ELEMENT METHOD FOR ELASTIC DOMAINS WITH CRACKS AND REENTRANT CORNERS

被引:23
作者
GIVOLI, D
RIVKIN, L
机构
[1] Department of Aerospace Engineering, Technion-Israel Institute of Technology, Haifa
关键词
D O I
10.1016/0045-7949(93)90068-O
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A combined analytic-finite element method is proposed for the efficient solution of problems in elasticity involving geometrical singularities. The Dirichlet-to-Neumann (DtN) map is used in the procedure, to enable the replacement of the original singular problem by an equivalent regular problem. which is then solved by a finite element scheme. Problems involving the Saint Venant torsion of long rods with cross-sections containing cracks or re-entrant corners are considered in detail. Mode I and II fracture problems are also discussed. The method yields the stress field in the entire domain, as well as the stress intensity factor. Numerical examples are presented for the torsion problem, which demonstrate the performance of the method.
引用
收藏
页码:633 / 642
页数:10
相关论文
共 27 条
[1]  
[Anonymous], 1986, THEORY ELASTICITY, DOI [DOI 10.1016/C2009-0-25521-8, 10.1016/C2009-0-25521-8]
[2]  
AYAPPA KG, IN PRESS AICHE J
[3]   DIRECT AND INVERSE ERROR-ESTIMATES FOR FINITE-ELEMENTS WITH MESH REFINEMENTS [J].
BABUSKA, I ;
KELLOGG, RB ;
PITKARANTA, J .
NUMERISCHE MATHEMATIK, 1979, 33 (04) :447-471
[4]   THE POST-PROCESSING APPROACH IN THE FINITE-ELEMENT METHOD .2. THE CALCULATION OF STRESS INTENSITY FACTORS [J].
BABUSKA, I ;
MILLER, A .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1984, 20 (06) :1111-1129
[5]  
BLACKBURN WS, 1973, MATH FINITE ELEMENTS
[6]   AN ADAPTED BOUNDARY ELEMENT METHOD FOR THE DIRICHLET PROBLEM IN POLYGONAL DOMAINS [J].
BOURLARD, M ;
NICAISE, S ;
PAQUET, L .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (03) :728-743
[7]  
Broek D., 1986, ELEMENTARY ENG FRACT
[8]   SCATTERING FROM 3-DIMENSIONAL PLANAR CRACKS BY THE BOUNDARY INTEGRAL-EQUATION METHOD [J].
BUDRECK, DE ;
ACHENBACH, JD .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (02) :405-412
[9]   ON THE ACCURACY OF LEAST-SQUARES METHODS IN THE PRESENCE OF CORNER SINGULARITIES [J].
COX, CL ;
FIX, GJ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1984, 10 (06) :463-475
[10]  
DEMKOWITZ L, 1983, COMP METH APPL MECH, V53, P67