By Silmo J.
Continuum elastoplastic harm mbdels applying irreversible thermodynamics and inner nation variables are built inside of replacement twin frameworks. In a pressure [stress]-based formula, harm is characterised in the course of the powerful rigidity [strain] thought including the speculation of pressure [stress] equivalence, and plastic move is brought by way of an additive cut up of the strain [strain] tensor. In a strain-based formula we redefine the similar pressure, often outlined because the J2-norm of the stress tensor, because the (undamaged) power norm of the stress tensor. In a stress-based procedure we hire the complementary power 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 may are expecting crack improvement parallel to the axis of loading (splitting mode). the tension- and stress-based frameworks bring about twin yet no longer similar formulations, neither bodily nor computationally. A viscous regularization of strain-based, rate-independent harm versions can also be constructed, with a constitution analogous to viscoplasticity of the Perzyna variety, which produces retardation of microcrack development at larger pressure charges. This regularization results 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 partially II of this paintings.
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