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By Silmo J.

Continuum elastoplastic harm mbdels utilizing irreversible thermodynamics and inner country variables are built inside of substitute twin frameworks. In a pressure [stress]-based formula, harm is characterised during the powerful pressure [strain] thought including the speculation of pressure [stress] equivalence, and plastic movement is brought through an additive break up of the tension [strain] tensor. In a strain-based formula we redefine the an identical pressure, frequently outlined because the J2-norm of the stress tensor, because the (undamaged) power norm of the stress tensor. In a stress-based method we hire the complementary strength norm of the strain tensor. those thermodynamically influenced definitions consequence, for ductile harm, in symmetric elastic-damage moduli. For brittle harm, an easy strain-based anisotropic characterization of wear is proposed which could expect crack improvement parallel to the axis of loading (splitting mode). the tension- and stress-based frameworks bring about twin yet now not an identical formulations, neither bodily nor computationally. A viscous regularization of strain-based, rate-independent harm types is additionally constructed, with a constitution analogous to viscoplasticity of the Perzyna kind, which produces retardation of microcrack progress at better pressure premiums. This regularization results in well-posed preliminary price difficulties. software is made to the cap version with an isotropic strain-based harm mechanism. Comparisons with experimental effects and numerical simulations are undertaken partly II of this paintings.

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