A Continuum Model for Void Nucleation by Inclusion Debonding

[+] Author and Article Information
A. Needleman

Division of Engineering, Brown University, Providence, RI 02912

J. Appl. Mech 54(3), 525-531 (Sep 01, 1987) (7 pages) doi:10.1115/1.3173064 History: Received October 28, 1986; Revised February 17, 1987; Online July 21, 2009


A cohesive zone model, taking full account of finite geometry changes, is used to provide a unified framework for describing the process of void nucleation from initial debonding through complete decohesion. A boundary value problem simulating a periodic array of rigid spherical inclusions in an isotropically hardening elastic-viscoplastic matrix is analyzed. Dimensional considerations introduce a characteristic length into the formulation and, depending on the ratio of this characteristic length to the inclusion radius, decohesion occurs either in a “ductile” or “brittle” manner. The effect of the triaxiality of the imposed stress state on nucleation is studied and the numerical results are related to the description of void nucleation within a phenomenological constitutive framework for progressively cavitating solids.

Copyright © 1987 by ASME
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