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Influence of crack tip constraint on void growth in pressure sensitive plastic solids – I: 2D analysis

Subramanya, HY and Viswanath, S and Narasimhan, R (2008) Influence of crack tip constraint on void growth in pressure sensitive plastic solids – I: 2D analysis. In: Engineering Fracture Mechanics, 75 (5). pp. 1045-1063.

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Abstract

In this work, the effect of constraint on void growth near a notch tip under mode-I loading is investigated in materials exhibiting pressure sensitive yielding and plastic dilatancy. To this end, large deformation elastic–plastic finite element analyses are performed using a two-dimensional (2D) plane strain, modified boundary layer formulation by prescribing the elastic K − T field as remote boundary conditions. The analyses are conducted for different values of K (or J) and T-stress. The material is assumed to obey a finite strain, Extended Drucker–Prager yield condition. The roles of pressure sensitivity, plastic dilatancy and yield locus shape on the interaction between the notch and a nearby void are studied by examining the distribution of hydrostatic stress and plastic strain in the ligament connecting them as well as the growth of notch and the void. The results show that void growth with respect to J is enhanced due to pressure sensitivity, and more so when the plastic flow is non-dilatational. By contrast, irrespective of pressure sensitivity, loss of crack tip constraint can significantly retard void growth.

Item Type: Journal Article
Publication: Engineering Fracture Mechanics
Publisher: Elsevier
Additional Information: Copyright of this article belongs to Elsevier.
Keywords: Pressure sensitive yielding; Constraint effects; Ductile fracture; Void growth; Finite elements
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 08 Mar 2008
Last Modified: 19 Sep 2010 04:43
URI: http://eprints.iisc.ac.in/id/eprint/13340

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