A Direct Boundary Element Formulation for the First Plane Problem in the Dual System of Micropolar Elasticity

被引：1
作者：
Szeidl, Gy. [1 ]
Dudra, J. [2 ]
机构：
[1] Univ Miskolc, Dept Mech, H-3515 Miskolc, Hungary
[2] Bay Zoltan Fdn Appl Res, Inst Logist & Prod Engn, Miskolctapolca, Hungary
来源：
COMPUTATIONAL MODELLING AND ADVANCED SIMULATIONS | 2011年 / 24卷
基金：
新加坡国家研究基金会;
关键词：
Micropolar elasticity; The first plane problem; Dual formulation; Boundary element method; STRESS-CONCENTRATION;
D O I：
10.1007/978-94-007-0317-9_11
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper studies the plane strain problem of micropolar elastostatics assuming that the governing equations are given in terms of stress functions of order one. We clarify the conditions of single valuedness and construct the fundamental solution for the dual basic equations. We then establish the integral equations of the direct method. Numerical examples illustrate the applicability of these integral equations.
引用
收藏
页码：185 / 224
页数：40
相关论文
共 36 条
[1]  
[Anonymous], 1953, Higher transcendental functions
[2]  
[Anonymous], 1977, Integral Equation Methods in potential Theory and Elastostatics
[3]   ON GUNTHERS STRESS FUNCTIONS FOR COUPLE STRESSES [J].
CARLSON, DE .
QUARTERLY OF APPLIED MATHEMATICS, 1967, 25 (02) :139-&
[4]  
Cosserat E., 1979, THEORIE CORPS DEFORM
[5]  
Dudra J., 2009, THESIS
[6]  
ERINGEN AC, 1966, J MATH MECH, V15, P909
[7]  
Eringen AC., 1964, INT J ENGNG SCI 2, V2, P389
[8]  
Eringen AC., 1964, INT J ENG SCI, V2, P189, DOI [DOI 10.1016/0020-7225(64)90004-7, 10.1016/0020-7225(64)90004-7]]
[9]  
Hormander L., 1964, LINER PARTIAL DIFFER
[10]  
Huang FY, 1997, INT J NUMER METH ENG, V40, P1611, DOI 10.1002/(SICI)1097-0207(19970515)40:9<1611::AID-NME130>3.0.CO
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