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Title:Potential flow model of cavitation-induced interfacial fracture in a confined ductile layer
Author(s):Zhang, Sulin; Hsia, K. Jimmy; Perlstein, Arne J.
Subject(s):Cavity Growth
Fracture Toughness
Ideally Plastic Material
Abstract:Fracture of a thin ductile layer sandwiched hetween stiff substrates often results from grow th and coalescence of microscopic cdv1ties ahead of an extending crack. Cavitation induced by plastic flow in a confined, ductile layer is analyzed here to evaluate the interfacial fracture toughness of such sandwich structures. For rigid-plastic materials, a new method is proposed in which the potential flow field of a fluid is used to approximate the plastic deformation. The principle of virtual work rate is applied to determine the equivalent traction-separation law. The method is demonstrated and validated for spherically symmetric cavity growth, for which an exact solution exists. We then study in detail growth of an initially spherical cavity in a cylindrical bar of finite length subject to uniform traction at its ends. The results show that the stress-separation curves depend strongly on initial cavity size and the strain-hardening exponent, and weakly on the ratio of yield strength to Young's modulus. The method has clear advantages when dealing with large plastic deformation and post-instability behavior.
Issue Date:2000-11
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 960
Genre:Technical Report
Sponsor:US Department of Energy
Rights Information:Copyright 2000 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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