The quasi-static, steady-state propagation of a crack running in an elastoplastic solid with volumetric-non-associative flowlaw is analyzed. The adopted constitutive model corresponds to the small strain version of that proposed by Rudnicki andRice. The asymptotic crack-tip fields are numerically obtained for the case of the incremental theory with linear isotropichardening, under mode I plane-stress conditions. A relevant conclusion of the study is that the singularity of the near-tipfields appears to be mainly governed by the flow-rule, rather than by the yield surface gradient.
Asymptotic fields of mode I steady-state crack propagation in non-associative elastoplastic solid / Radi, E.; Bigoni, D.. - In: MECHANICS OF MATERIALS. - ISSN 0167-6636. - ELETTRONICO. - 14:3(1993), pp. 239-251. [10.1016/0167-6636(93)90069-4]
Asymptotic fields of mode I steady-state crack propagation in non-associative elastoplastic solid
E. Radi;
1993
Abstract
The quasi-static, steady-state propagation of a crack running in an elastoplastic solid with volumetric-non-associative flowlaw is analyzed. The adopted constitutive model corresponds to the small strain version of that proposed by Rudnicki andRice. The asymptotic crack-tip fields are numerically obtained for the case of the incremental theory with linear isotropichardening, under mode I plane-stress conditions. A relevant conclusion of the study is that the singularity of the near-tipfields appears to be mainly governed by the flow-rule, rather than by the yield surface gradient.
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