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 | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/qam/1074956

Article copyright:
© Copyright 1990
American Mathematical Society