Mgd. Geers et al., STRAIN-BASED TRANSIENT-GRADIENT DAMAGE MODEL FOR FAILURE ANALYSES, Computer methods in applied mechanics and engineering, 160(1-2), 1998, pp. 133-153
A transient-gradient enhanced damage model has been developed for the
numerical modelling of the damage and fracture process within a contin
uum damage mechanics framework. Some deficiencies of existing gradient
enhanced damage formulations for the simulation of macroscopic crack
propagation are pointed out. The transient-gradient approach assumes a
direct coupling between the material length parameter and the local s
train state of the material, which leads to a transient behaviour of t
he nonlocal effect. Details of the method are presented and fully elab
orated in an incremental-iterative solution scheme. Mesh objectivity a
nd physical relevance of the method are analysed by one-dimensional an
d two-dimensional numerical examples. (C) 1998 Elsevier Science S.A. A
ll rights reserved.