Continua with microstructure: second gradient theory.
Continua with microstructure: second gradient theory.
Second-gradient theories represent a frequently used subset of theories of continua with microstructure. This paper presents an extended overview of second-gradient theories, starting from a simple one-dimensional example, proceeding with a thorough description of gradient elasticity and additionally briefly describing some other theories of this kind. A series of characteristic examples is presented to demonstrate the main aspects and applications of second-gradient theories. Finally, the complications in the finite-element implementation of second-gradient theories are presented, along with a review of the finite elements that have been developed for this purpose.
1031-1050
Papanicolopulos, S.-A.
14e2f9f3-89f9-456b-a9e4-afb65da60f67
Zervos, A.
9e60164e-af2c-4776-af7d-dfc9a454c46e
2010
Papanicolopulos, S.-A.
14e2f9f3-89f9-456b-a9e4-afb65da60f67
Zervos, A.
9e60164e-af2c-4776-af7d-dfc9a454c46e
Papanicolopulos, S.-A. and Zervos, A.
(2010)
Continua with microstructure: second gradient theory.
European Journal of Environmental and Civil Engineering, 14 (8-9), .
(doi:10.3166/EJECE.14.1031-1050).
Abstract
Second-gradient theories represent a frequently used subset of theories of continua with microstructure. This paper presents an extended overview of second-gradient theories, starting from a simple one-dimensional example, proceeding with a thorough description of gradient elasticity and additionally briefly describing some other theories of this kind. A series of characteristic examples is presented to demonstrate the main aspects and applications of second-gradient theories. Finally, the complications in the finite-element implementation of second-gradient theories are presented, along with a review of the finite elements that have been developed for this purpose.
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Published date: 2010
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Local EPrints ID: 185931
URI: http://eprints.soton.ac.uk/id/eprint/185931
ISSN: 1964-8189
PURE UUID: 802e8e4d-b289-469a-80fd-93048afa27f0
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Date deposited: 11 May 2011 12:53
Last modified: 15 Mar 2024 03:16
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Author:
S.-A. Papanicolopulos
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