In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see [12]).
Damage dynamics: A variational approach / Garroni, Adriana; Larsen, Christofer J.; Sarrocco, David. - In: RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI. - ISSN 2532-3350. - 41:(2020), pp. 275-299.
Damage dynamics: A variational approach
Adriana Garroni
;David Sarrocco
2020
Abstract
In this paper we construct, by means of a variational formulation, the solutions of a problem of elastodynamics which includes the effect of damage for the elastic material. The result is a wave equation with time dependent operators which represents the elastic coefficients of the material undergoing damage. The dynamics that we construct also satisfies a threshold condition with the same threshold value that characterizes the quasi-static evolution of damage (see [12]).| File | Dimensione | Formato | |
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