By Silmo J.
Continuum elastoplastic harm mbdels applying irreversible thermodynamics and inner country variables are constructed inside substitute twin frameworks. In a pressure [stress]-based formula, harm is characterised during the powerful tension [strain] inspiration including the speculation of pressure [stress] equivalence, and plastic circulation is brought via an additive cut 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 tension tensor, because the (undamaged) power norm of the stress tensor. In a stress-based procedure we hire the complementary strength norm of the strain tensor. those thermodynamically stimulated definitions end result, for ductile harm, in symmetric elastic-damage moduli. For brittle harm, an easy strain-based anisotropic characterization of wear is proposed that may are expecting crack improvement parallel to the axis of loading (splitting mode). the stress- and stress-based frameworks result in twin yet no longer an identical formulations, neither bodily nor computationally. A viscous regularization of strain-based, rate-independent harm versions is additionally built, with a constitution analogous to viscoplasticity of the Perzyna kind, which produces retardation of microcrack progress at greater pressure premiums. This regularization ends up in well-posed preliminary price difficulties. program 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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