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Soft Matter Vol - 6 Issue - 5

Soft Matter Vol - 6 Issue - 4

Soft Matter Vol - 6 Issue - 3

Effects of triaxiality on the growth of crack-like cavities in soft incompressible elastic solids

Content Provider	Royal Society of Chemistry (RSC)
Author	Hui, Chung-Yuen Long, Rong
Copyright Year	2010
Abstract	We study the finite deformation of an isolated circular or penny-shaped crack in an infinite block of soft incompressible hyper-elastic solid. The crack is subjected to remote tensile true stresses that are parallel (S) and normal (T) to the undeformed crack faces. Two material models are considered, an ideal rubber (neo-Hookean solid) and a hyperelastic material that hardens exponentially. The energy release rates for different triaxiality ratios S/T from uniaxial tension (S/T = 0) to hydrostatic tension (S/T = 1) are determined using a finite element method (FEM). For small deformations, our results agree with linear elastic theory where the energy release rate is independent of S. This is not the case at finite strains; our results show that the energy release rate increases rapidly with triaxiality. For the special case of pure hydrostatic tension, the energy release rate approaches infinity for the neo-Hookean solid at a finite tension, consistent with a previous result by Lin and Hui (Y.Y. Lin and C.Y. Hui, Int. J. Fract., 2004, 126, 205–221). Our result shows that strain hardening significantly reduces the energy release rate for the same remote loading. In particular, for the case of hydrostatic tension, the energy release rate remains bounded for the exponentially hardening solid.
Starting Page	1238
Ending Page	1245
Page Count	8
File Format	HTM / HTML PDF
ISSN	1744683X
Volume Number	6
Issue Number	6
Journal	Soft Matter
DOI	10.1039/b917148g
Language	English
Publisher	Royal Society of Chemistry
Access Restriction	Open
Subject Keyword	Lin Finite element method Hydrostatics Finite strain theory Work hardening Strain energy release rate Hyperelastic material Neo-Hookean solid Hui
Content Type	Text
Resource Type	Article
Subject	Chemistry Condensed Matter Physics

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