The variational model here proposed attempts a unified approach to plasticity and fracture. It is based on an energy functional which depends on the elastic and inelastic parts of the deformation and it is the sum of three terms: an elastic bulk energy, an inelastic cohesive energy, and a quadratic gradient term. This model is applied to the one-dimensional case of a stretched bar and the resulting evolution problem is solved numerically by means of a FEM incremental algorithm which, at each loading step, solves a non-linear constrained minimum problem. The proposed numerical experiments inspect a large variety of responses, by simply varying the shape of the cohesive energy density.
Numerical results of a cohesive model for plasticity and fracture
DEL PIERO, Gianpietro;LANCIONI, Giovanni;
2011
Abstract
The variational model here proposed attempts a unified approach to plasticity and fracture. It is based on an energy functional which depends on the elastic and inelastic parts of the deformation and it is the sum of three terms: an elastic bulk energy, an inelastic cohesive energy, and a quadratic gradient term. This model is applied to the one-dimensional case of a stretched bar and the resulting evolution problem is solved numerically by means of a FEM incremental algorithm which, at each loading step, solves a non-linear constrained minimum problem. The proposed numerical experiments inspect a large variety of responses, by simply varying the shape of the cohesive energy density.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
