Quasistatic Hypoplasticity at Large Strains Eulerian

The isothermal quasistatic (i.e.\ acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard multiplicative decomposition of total strain and isochoric plastic distortion. Eulerian velocity-strain formulation used. mass density evolves too, but acts only via force term with a given external acceleration. This rather model then re-formulated in terms rates (so-called hypoplasticity) distortion completely eliminated, although it can be a-posteriori re-constructed. Involving gradient theories for dissipation, existence regularity weak solutions proved constructively by suitable regularization combined Galerkin approximation. local non-interpenetration through blowup stored energy when elastic-strain determinant approaches zero enforced exploited. considered rate dependent and, as special case, also creep Jeffreys' viscoelastic rheology shear covered while volumetric response obeys Kelvin-Voigt rheology.