Studies of microstructural size effect and higher-order deformation in second-order computational homogenization

Kaczmarczyk, L. , Pearce, C.J. and Bicanic, N. (2010) Studies of microstructural size effect and higher-order deformation in second-order computational homogenization. Computers and Structures, 88(23-24), pp. 1383-1390. (doi:10.1016/j.compstruc.2008.08.004)

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Abstract

Two examples illustrating microstructural size effect and higher-order deformation are considered within the context of second-order computational homogenization. Governing equations and appropriate discretization are briefly reviewed, including the scale transition equations and the enforcement of generalised boundary conditions for the RVE (representative volume element). The first example serves as a means of validation for second-order computational homogenization and highlights the difference in terms of higher-order deformation of the RVE between the first and second-order schemes. The second example (indentation test) focuses on microstructural size effect, whereby the result is shown to be dependent on the intrinsic length of the RVE.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Kaczmarczyk, Dr Lukasz and Bicanic, Professor Nenad and Pearce, Professor Christopher
Authors: Kaczmarczyk, L., Pearce, C.J., and Bicanic, N.
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computers and Structures
ISSN:0045-7949
ISSN (Online):1879-2243
Published Online:05 October 2008

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
397671Computational homogenisation for modelling heterogeneous multi-phase materialsChristopher PearceEngineering & Physical Sciences Research Council (EPSRC)EP/D500273/1Infrastructure and Environment