Crack growth resistance for anisotropic plasticity with non-normality effects

For a plastically anisotropic solid a plasticity model using a plastic flow rule with non-normality is applied to predict crack growth. The fracture process is modelled in terms of a traction–separation law specified on the crack plane. A phenomenological elastic–viscoplastic material model is appli...

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Bibliographic Details
Published in:International journal of solids and structures 2006-04, Vol.43 (7), p.2160-2173
Main Authors: Tvergaard, Viggo, Legarth, Brian Nyvang
Format: Article
Language:English
Subjects:
Anisotropic plasticity
Crack growth
Finite strains
Vertex
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Summary:For a plastically anisotropic solid a plasticity model using a plastic flow rule with non-normality is applied to predict crack growth. The fracture process is modelled in terms of a traction–separation law specified on the crack plane. A phenomenological elastic–viscoplastic material model is applied, using one of two different anisotropic yield criteria to account for the plastic anisotropy, and in each case the effect of the normality flow rule is compared with the effect of non-normality. Conditions of small scale yielding are assumed, with mode I loading conditions far from the crack-tip, and various directions of the crack plane relative to the principal axes of the anisotropy are considered. It is found that the steady-state fracture toughness is significantly reduced when the non-normality flow rule is used. Furthermore, it is shown that the predictions are quite sensitive to the value of the maximum angle of deviation from normality in the non-normality flow rule.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2005.04.012