Under time-dependent loading an elastic material undergoes the simplest form of damage in which it passes from its original state to a weaker elastic state. Elaborating on prior work [14], we establish the existence of a relaxed variational evolution where, at each time, the two states of the material combine to form a fine mixture, optimal from the standpoint of the applied load at that time, yet preserving the irreversibility of the damaging process.
A variational view of brittle damage evolution / Francfort, G; Garroni, Adriana. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 182:(2006), pp. 125-152. [10.1007/s00205-006-0426-5]
A variational view of brittle damage evolution
GARRONI, Adriana
2006
Abstract
Under time-dependent loading an elastic material undergoes the simplest form of damage in which it passes from its original state to a weaker elastic state. Elaborating on prior work [14], we establish the existence of a relaxed variational evolution where, at each time, the two states of the material combine to form a fine mixture, optimal from the standpoint of the applied load at that time, yet preserving the irreversibility of the damaging process.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
