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Stationary crack tip fields in elastic–plastic solids: an overview of recent numerical simulations

R Narasimhan1, H Y Subramanya2, S D Patil1, Parag Tandaiya1 and U Ramamurty3

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In this paper, an overview of some recent numerical simulations of stationary crack tip fields in elastic–plastic solids is presented. First, asymptotic analyses carried out within the framework of 2D plane strain or plane stress conditions in both pressure insensitive and pressure sensitive plastic solids are reviewed. This is followed by discussion of salient results obtained from recent computational studies. These pertain to 3D characteristics of elastic–plastic near-front fields under mixed mode loading, mechanics of fracture and simulation of near-tip shear banding process of amorphous alloys and influence of crack tip constraint on the structure of near-tip fields in ductile single crystals. These results serve to illustrate several important features associated with stress and strain distributions near the crack tip and provide the foundation for understanding the operative failure mechanisms. The paper concludes by highlighting some of the future prospects for this field of study.


PACS

62.20.M- Structural failure of materials

62.20.F- Deformation and plasticity

81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure

81.40.Lm Deformation, plasticity, and creep

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 21 (7 November 2009)

Received 24 December 2008, in final form 4 March 2009

Published 22 October 2009



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