Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 46, Issue 4, Pages 339-347Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.finel.2009.11.006
Keywords
Energy change; Multiple inclusions; Hyperelasticity; M(c)-integral; Path-independence; Material/structural characteristic
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In this paper, an M(c)-integral is presented for evaluation of the energy change due to presence of multiple irregularly shaped inclusions in 2-D hyperelastic solids. The integral is shown to be path-independent and so can be accurately evaluated by using finite elements. The formulation is considered to be feasible for problems subjected to large deformation. The energy change can be exactly evaluated by M(c) when the hyperelastic solids are homogeneously stressed (i.e. the material characteristic), and effectively approximated when the solids are non homogeneously stressed (i.e. the structural characteristic). It is thus suggested that M(c) be used as an energy parameter that quantitatively measures the change of material and/or structural integrity due to presence of the inclusions. The applicability of the proposed integral is illustrated by using it for identifying the associated effective material properties. (C) 2009 Elsevier B.V. All rights reserved.
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