In this paper a thermodynamically consistent damage mechanic model is presented in the context of a boundary element formulation. In particular, the damage model of Lemaitre is considered. The boundary element method (BEM) is applied by introducing convenient inelastic strains which account for the irreversibly degeneration of the mechanical properties due to a diffused microcracking in the structure. The theoretical background of the model as well as the boundary element formulation are presented. The governing relations are first derived by the free energy potential fully complying with thermodynamic principles, then the flaw laws are obtained by assuming the existence of a damage activation function and under the hypothesis of generalised associative damage behaviour, finally numerical results are obtained by coupling suitably the BEM with the arclength methods.
Localisation analysis by BEM in damage mechanics
MALLARDO, Vincenzo
2004
Abstract
In this paper a thermodynamically consistent damage mechanic model is presented in the context of a boundary element formulation. In particular, the damage model of Lemaitre is considered. The boundary element method (BEM) is applied by introducing convenient inelastic strains which account for the irreversibly degeneration of the mechanical properties due to a diffused microcracking in the structure. The theoretical background of the model as well as the boundary element formulation are presented. The governing relations are first derived by the free energy potential fully complying with thermodynamic principles, then the flaw laws are obtained by assuming the existence of a damage activation function and under the hypothesis of generalised associative damage behaviour, finally numerical results are obtained by coupling suitably the BEM with the arclength methods.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
