Relaxation is a promosing technique to overcome mesh-dependency in computational damage mechanics originating from the non-convexity of an underlying incremental variational formulation. This does not require internal length scale parameter. However, case formulations, for many years decrease stresses with increase strains, referred as strain-softening, could be modeled relaxed regime. contribu...

The classic localization instability analysis for strain-softening materials is expanded to dynamic solutions. The nonlocal continuum with local strain, which ensures proper convergence of finite element calculations and physically realistic solutions, is adopted in its simplified form, the nonlocal damage model. The dynamic response of a one-dimensional bar initially in a uniform strain-soften...

This paper deals with the question of strain localization associated with materials which exhibit softening due to tensile straining. A standard local isotropic Rankine damage model with strain-softening is used as exemplary constitutive model. Both the irreducible and mixed forms of the problem are examined and stability and solvability conditions are discussed. Lack of uniqueness and converge...

Amorphous materials such as metallic, polymeric, and colloidal glasses exhibit complex preparation-dependent mechanical response to applied shear. In particular, glassy solids yield, with a mechanical response that transitions from elastic to plastic, with increasing shear strain. We perform numerical simulations to investigate the mechanical response of binary Lennard-Jones glasses undergoing ...

Understanding the physical and mechanical properties of soils subjected to freeze-thaw cycles, including both micro macrostructures, is critical for achieving required performance structures employing it as a structural or support material. An experimental study was carried out on clay soil with varying water content (18%, 21.5%, 23%) after repeated cycles (0, 2, 5, 7, 12, 15). The evaluated us...