Mode III fracture propagation is analyzed in a J2-flow theory elastoplastic material characterized by a mixed isotropic/kinematic law of hardening. The asymptotic stress, back stress and velocity fields are determined under small-strain, steady-state, fracture propagation conditions. The increase in the hardening anisotropy is shown to be connected with a decrease in the thickness of the elastic sector in the crack wake and with an increase of the strength of the singularity. A second order analytical solution for the crack fields is finally proposed for the limiting case of pure kinematic hardening. It is shown that the singular terms of this solution correspond to fully plastic fields (without any elastic unloading sector), which formally are identical to the leading order terms of a crack steadily propagating in an elastic medium with shear modulus equal to the plastic tangent modulus in shear

Asymptotic solution for Mode III crack growth in J2-elasto-plasticity with mixed isotropic-kinematic strain hardening / D., Bigoni; Radi, Enrico. - In: INTERNATIONAL JOURNAL OF FRACTURE. - ISSN 0376-9429. - ELETTRONICO. - 77 (1):(1996), pp. 77-93.

Asymptotic solution for Mode III crack growth in J2-elasto-plasticity with mixed isotropic-kinematic strain hardening

RADI, Enrico
1996

Abstract

Mode III fracture propagation is analyzed in a J2-flow theory elastoplastic material characterized by a mixed isotropic/kinematic law of hardening. The asymptotic stress, back stress and velocity fields are determined under small-strain, steady-state, fracture propagation conditions. The increase in the hardening anisotropy is shown to be connected with a decrease in the thickness of the elastic sector in the crack wake and with an increase of the strength of the singularity. A second order analytical solution for the crack fields is finally proposed for the limiting case of pure kinematic hardening. It is shown that the singular terms of this solution correspond to fully plastic fields (without any elastic unloading sector), which formally are identical to the leading order terms of a crack steadily propagating in an elastic medium with shear modulus equal to the plastic tangent modulus in shear
1996
77 (1)
77
93
Asymptotic solution for Mode III crack growth in J2-elasto-plasticity with mixed isotropic-kinematic strain hardening / D., Bigoni; Radi, Enrico. - In: INTERNATIONAL JOURNAL OF FRACTURE. - ISSN 0376-9429. - ELETTRONICO. - 77 (1):(1996), pp. 77-93.
D., Bigoni; Radi, Enrico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/457689
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