Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Energy balance criteria for viscoelastic fracture

Authors: J. M. Golden and G. A. C. Graham
Journal: Quart. Appl. Math. 48 (1990), 401-413
MSC: Primary 73M25; Secondary 73B30, 73F15
DOI: https://doi.org/10.1090/qam/1074956
MathSciNet review: MR1074956
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Abstract: An energy balance criterion of the Griffith type has been used to derive conditions that are valid, in the isothermal noninertial approximation, for the growth of cracks in viscoelastic bodies. These bodies are acted upon by general position and time-dependent load. The conditions have the same form as the instability conditions obtained for the corresponding problems in elasticity theory and, in particular, are independent of crack velocity. The analysis relies upon an exact calculation of the displacement and stress fields that is derived in the Appendix with the aid of extensions to viscoelasticity of the Kolosov-Muskhelishvili equations of elasticity theory.

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DOI: https://doi.org/10.1090/qam/1074956
Article copyright: © Copyright 1990 American Mathematical Society

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