In the present paper, a plastic nonlocal damage model is proposed for studying the mechanical response of structural elements made of cementitious materials, A new isotropic damage model, which is able to describe the behavior of a wide class of cementitious materials, is presented. A regularization technique, based on the introduction of the damage Laplacian in the damage limit function, is adopted to overcome the analytical and computational problems induced by the softening constitutive law. A Drucker-Prager type of plastic limit function is proposed considering isotropic hardening. A numerical procedure, based on an implicit 'backward-Euler' technique for the time integration of the plastic and damage evolution equations, is presented. To solve each nonlinear step, a predictor corrector iterative method is developed within the splitting method. In particular, the damage evolution is determined solving a constrained minimization problem of a convex functional. The proposed algorithm is implemented in a finite element code and it is used to study the structural behavior of elements made of masonry materials. (C) 2002 Elsevier Science B.V. All rights reserved.
A plastic nonlocal damage model / Addessi, Daniela; Sonia, Marfia; Elio, Sacco. - In: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. - ISSN 0045-7825. - STAMPA. - 191:13-14(2002), pp. 1291-1310. [10.1016/s0045-7825(01)00325-5]
A plastic nonlocal damage model
ADDESSI, Daniela;
2002
Abstract
In the present paper, a plastic nonlocal damage model is proposed for studying the mechanical response of structural elements made of cementitious materials, A new isotropic damage model, which is able to describe the behavior of a wide class of cementitious materials, is presented. A regularization technique, based on the introduction of the damage Laplacian in the damage limit function, is adopted to overcome the analytical and computational problems induced by the softening constitutive law. A Drucker-Prager type of plastic limit function is proposed considering isotropic hardening. A numerical procedure, based on an implicit 'backward-Euler' technique for the time integration of the plastic and damage evolution equations, is presented. To solve each nonlinear step, a predictor corrector iterative method is developed within the splitting method. In particular, the damage evolution is determined solving a constrained minimization problem of a convex functional. The proposed algorithm is implemented in a finite element code and it is used to study the structural behavior of elements made of masonry materials. (C) 2002 Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
