Abstract
The materials exhibit continuous or discontinuous deformation modes when quasi-brittle solids like concrete and rock are deformed into plastic region. In particular, we have been concerned mainly with localized failure characteristic (C o-continuity) of hardening-softening elasto-plastic materials.
In this paper, first, we distinguish diffuse failure from localized failure according to the degree of continuity or rather discontinuity of the underlying kinematic fields. In addition, singularities with regard to both failure modes are examined by minimization of second order work density and eigenvalue analysis. By introducing Drucker-Prager material with Wu-Tanabe's model, numerical simulations are carried out. Then, we obtained the characteristics of the brittle-ductile transition and diagnosis of failure modes in proportional and non-proportional loading. Finally, analyses of post-localized failure are attained so as to examine the mechanical characteristic around discontinuous surface under the C o-continuity.
