A method for linear elasto-static analysis of multi-layered axisymmetrical bodies using Hankel's transform

被引:24
作者
Wang, W [1 ]
Ishikawa, H [1 ]
机构
[1] Univ Electrocommun, Dept Mech Engn & Intelligent Syst, Chofu, Tokyo 1828585, Japan
关键词
D O I
10.1007/s004660100258
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A method to determine the distribution of stresses and displacements in an infinite, linear, elastic, multi-layered medium subjected to static axisymmetric loading is presented in this work. By using axisymmetric governing equations, Hankel's transform and matrix analysis, the methodology gives a clearly arranged way to calculate the stresses and displacements in the medium. A numerical method for Hankel's transform is employed to perform the calculation. Two representative examples are studied. The results can be utilized as a fundamental solution for boundary element methods for the linear, elasto-static, axisymmetric multi-layered problem with a little modification.
引用
收藏
页码:474 / 483
页数:10
相关论文
共 17 条
[1]  
[Anonymous], 1971, J. Elast, DOI DOI 10.1007/BF00046464
[2]   A BOUNDARY-ELEMENT FORMULATION BASED ON THE 3-DIMENSIONAL ELASTOSTATIC FUNDAMENTAL SOLUTION FOR THE INFINITE-LAYER .1. THEORETICAL AND NUMERICAL DEVELOPMENT [J].
BENITEZ, FG ;
LU, L ;
ROSAKIS, AJ .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (18) :3097-3130
[3]  
Benitez FG, 1996, COMPUT MECH, V18, P24
[4]   A POINT LOAD IN THE INTERIOR OF A THICK PLATE [J].
BENITEZ, FG ;
ROSAKIS, AJ .
COMPUTERS & STRUCTURES, 1988, 29 (01) :69-87
[5]  
BENITEZ FG, 1996, ENG ANAL BOUNDARY EL, V16, P19
[6]  
Braun M., 1983, DIFF EQUAT+
[7]   ELASTIC MULTILAYER SYSTEM UNDER ASSYMETRIC LOADING [J].
BUFLER, H .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (02) :103-118
[8]  
Burmister D. M., 1945, J APPL PHYS, V16
[9]   Fast Hankel transform of nth order [J].
Ferrari, JA ;
Perciante, D ;
Dubra, A .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (10) :2581-2582
[10]   Nonuniform fast Hankel transform (NUFHT) algorithm [J].
Liu, QH ;
Zhang, ZQ .
APPLIED OPTICS, 1999, 38 (32) :6705-6708