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RESEARCH PAPERS

On the Governing Equation for Quasi-Static Crack Growth in Linearly Viscoelastic Materials

[+] Author and Article Information
R. J. Nuismer

Department of Mechanical Engineering, University of Utah, Salt Lake City, Utah

J. Appl. Mech 41(3), 631-634 (Sep 01, 1974) (4 pages) doi:10.1115/1.3423361 History: Received June 01, 1973; Revised November 01, 1973; Online July 12, 2010

Abstract

An equation governing the initiation and growth of quasi-static fracture in a linearly viscoelastic material is derived using the thermodynamic power balance as a fracture criterion. It is found that this equation does not involve the time-dependent part of the viscoelastic material behavior but only the elastic portion. This is in direct contrast to the results obtained by Williams [1], Cherepanov [3, 4], and Knauss [5], all of whom use the same assumptions and fracture criterion as does the present paper. The apparent errors made in [1, 3-5] are pointed out and it is shown how, when the appropriate corrections are made, the results in each case become identical to those obtained in the present paper.

Copyright © 1974 by ASME
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