Strain gradient theory in orthogonal curvilinear coordinates

被引：53

作者：

Zhao, Jidong ^{[1
]}

Pedroso, Dorival ^{[1
]}

机构：

[1] Univ Newcastle, Ctr Geotech & Mat Modelling, Callaghan, NSW 2308, Australia

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2008年 / 45卷 / 11-12期

基金：

澳大利亚研究理事会;

关键词：

strain gradient theory; orthogonal curvilinear coordinates; cylindrical coordinates; spherical coordinates;

D O I：

10.1016/j.ijsolstr.2008.02.011

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this short note, general formulations of the Toupin-Mindlin strain gradient theory in orthogonal curvilinear coordinate systems are derived, and are then specified for the cases of cylindrical coordinates and spherical coordinates. Expressions convenient for practical use are presented for the corresponding equilibrium equations, boundary conditions, and the physical components for strains and strain gradients in the two coordinate systems. The results obtained in this paper are general and complete, and can be useful for a wide range of applications, such as asymptotic crack tip field analysis, cylindrical and spherical cavity expansion problems, and the interpretation of micro/nano indentation tests and bending/twisting tests on small scales. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3507 / 3520

页数：14

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