On localization in saturated porous continua

Citation
A. Benallal et C. Comi, On localization in saturated porous continua, CR A S IIB, 328(12), 2000, pp. 847-853
Citations number
3
Categorie Soggetti
Mechanical Engineering
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE
ISSN journal
16207742 → ACNP
Volume
328
Issue
12
Year of publication
2000
Pages
847 - 853
Database
ISI
SICI code
1620-7742(200012)328:12<847:OLISPC>2.0.ZU;2-7
Abstract
Localization in elastic-plastic saturated porous media is investigated here using a linear perturbation approach. The adopted localization criterion c orresponds to unbounded growth of perturbations. The critical conditions ar e compared with those obtained by a classical band analysis. While for one phase materials these conditions coincide, in the present context the linea r perturbation approach leads in the limit of unbounded growth to the singu larity of the undrained acoustic tensor, while the band analysis leads to t he singularity of the drained acoustic tensor. Some general results clarify ing the hierarchy of these two conditions are established for a guile gener al set of constitutive equations. (C) 2000 Academie des sciences/Editions s cientifiques et medicales Elsevier SAS.