Strain gradient theory in orthogonal curvilinear coordinates

Title: Strain gradient theory in orthogonal curvilinear coordinates
Creator: Zhao, Jidong; Pedroso, Dorival
Relation: International Journal of Solids and Structures Vol. 45, Issue 11-12, p. 3507-3520
Publisher Link: http://dx.doi.org/10.1016/j.ijsolstr.2008.02.011
Publisher: Elsevier
Resource Type: journal article
Date: 2008
Description: 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.
Subject: strain gradient theory; orthogonal curvilinear coordinates; cylindrical coordinates; spherical coordinates
Identifier: http://hdl.handle.net/1959.13/42882
Identifier: uon:5023
Identifier: ISSN:0020-7683
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format