Strain gradient elasticity in orthogonal curvilinear coordinates

Zhao, Jidong and Pedroso, Dorival (2008) Strain gradient elasticity in orthogonal curvilinear coordinates. International Journal of Solids and Structures, 45 11-12: 3507-3520. doi:10.1016/j.ijsolstr.2008.02.011

Author Zhao, Jidong
Pedroso, Dorival
Title Strain gradient elasticity in orthogonal curvilinear coordinates
Journal name International Journal of Solids and Structures   Check publisher's open access policy
ISSN 0020-7683
Publication date 2008-06-15
Sub-type Article (original research)
DOI 10.1016/j.ijsolstr.2008.02.011
Volume 45
Issue 11-12
Start page 3507
End page 3520
Total pages 14
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon
Language eng
Abstract 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.
Keyword Strain gradient theory
Orthogonal curvilinear coordinates
Cylindrical coordinates
Spherical coordinates
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 18 Oct 2011, 23:30:59 EST by Dr Dorival Pedroso on behalf of School of Civil Engineering