Continua with microstructure: second gradient theory.


Papanicolopulos, S.-A. and Zervos, A. (2010) Continua with microstructure: second gradient theory. European Journal of Environmental and Civil Engineering, 14 , (8-9), 1031-1050. (doi:10.3166/EJECE.14.1031-1050).

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Description/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.

Item Type: Article
ISSNs: 1964-8189 (print)
Related URLs:
Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: University Structure - Pre August 2011 > School of Civil Engineering and the Environment
Item ID: 185931
Date Deposited: 11 May 2011 12:53
Last Modified: 01 Mar 2012 01:53
Contributors: Papanicolopulos, S.-A. (Author)
Zervos, A. (Author)
Date: 2010
Status: Published
URI: http://eprints.soton.ac.uk/id/eprint/185931

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