The deformation of a half-space with a gradient elastic coating under arbitrary axisymmetric loading

被引：12
作者：
Aizikovich, S. M.
Krenev, L. I.
Trubchik, I. S.
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2008年 / 72卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1016/j.jappmathmech.2008.08.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An analytical-numerical method of solving the Neumann boundary-value problem for an elastic half-space with a gradient elastic coating is proposed. The problem is formulated and the construction of the fundamental solution (Green's function) is described. The method enables a solution of the problem to be obtained for a fairly wide class of types of non-uniformity of the medium, and effects related to the non-uniformity are investigated analytically. A procedure for calculating the displacement, stress and strain fields is described. Particular attention is devoted to analysing the mechanical characteristics in the transition region from the coating to the elastic substrate. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：461 / 467
页数：7
相关论文
共 14 条
[1]   Analytical solution of the spherical indentation problem for a half-space with gradients with the depth elastic properties [J].
Aizikovich, SM ;
Alexandrov, VM ;
Kalker, JJ ;
Krenev, LI ;
Trubchik, IS .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2002, 39 (10) :2745-2772
[2]  
AIZIKOVICH SM, 1993, DOKL AKAD NAUK+, V332, P702
[3]  
AIZIKOVICH SM, 2000, IZV MATH+, V55, P107
[4]  
AIZIKOVICH SM, 1984, IZV AKAD NAUK SSSR M, V39, P73
[5]  
AIZIKOVICH SM, 1990, PRIKL MAT MEKH, V54, P872
[6]  
AIZIKOVICH SM, 1995, PRIKL MAT MEKH, V59, P688
[7]  
AIZIKOVICH SM, 1982, PRIKL MAT MEKH, V46, P148
[8]  
Babeshko V. A., 1987, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V27, P93
[9]  
Bulychev S.I., 1990, Testing of materials by continuous indentation of the indenter
[10]   HERTZIAN CONTACT OF SURFACES COVERED WITH METALLIC-FILMS [J].
ELSHERBINEY, MGD ;
HALLING, J .
WEAR, 1976, 40 (03) :325-337
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