Abstract
Nonlocal integral models have been proposed in order to cope with the difficulties encountered in the description of localization in strain softening solids. From a numerical viewpoint, constitutive relations of this type yield mesh-independent finite element analyses, failure with a non-zero energy dissipation and size effects that are consistent with experimental data. Nevertheless, theoretical proofs that initial or boundary value problems are well-posed for such a strain-softening continuum are still lacking. This paper aims at reporting several recent results on this problem. In statics, the localization modes are found to be controlled by the spatial averaging operator which defines the damage variable. In dynamics, wave propagation is dispersive. Waves with a sufficiently small wavelength can propagate even in the softening regime. Therefore, the wave equation does not necessarily loose hyperbolicity.
| Original language | English (US) |
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| Title of host publication | Damage Mechanics and Localization |
| Publisher | Publ by ASME |
| Pages | 125-134 |
| Number of pages | 10 |
| Volume | 142 |
| ISBN (Print) | 0791810860 |
| State | Published - Dec 1 1992 |
| Event | Winter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA Duration: Nov 8 1992 → Nov 13 1992 |
Other
| Other | Winter Annual Meeting of the American Society of Mechanical Engineers |
|---|---|
| City | Anaheim, CA, USA |
| Period | 11/8/92 → 11/13/92 |
ASJC Scopus subject areas
- Mechanical Engineering