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The asymptotic stress and strain fields near the tip of a slowly growing crack are derived for elasticnonlinear viscous materials, which deform in tension according to the law i = tY/E + B~'. The nonlinear viscous term describes power law creep. Based on (small strain) continuum mechanics, a stress analysis is carried out for anti-plane shear (Mode III), plane stress and plane strain (Mode I). For n 3, a new type of singular field develops at a growing crack with a stress and strain singularity of the form (or, ~) ~ r -~/{n-~). This field is asymptotically dominant for both steady and non-steady crack propagation. The asymptotic field is completely specified by the current crack growth rate, ti (besides material parameters), and is otherwise independent of the applied load, and of the prior crack growth history. Implications of these properties are examined for steady state crack growth under small scale yielding conditions using a critical strain criterion. The analysis indicates that at high growth rates ti ~ K n, where K is the stress intensity factor. Below a certain minimum growth rate, no stable steady state crack growth is possible in the present model.

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Author

C. Y. Hui; H. Riedel

Publisher

Springer Netherlands; Springer-Verlag; Kluwer Academic Publishers; Wolters-Noordhoff; Springer Science and Business Media LLC (ISSN 1573-2673)

Published

1981

Language

EN

Field

Engineering (Physical Sciences)