Rhj. Peerlings et al., GRADIENT-ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS, International journal for numerical methods in engineering, 39(19), 1996, pp. 3391-3403
Conventional continuum damage descriptions of material degeneration su
ffer from loss of well-posedness beyond a certain level of accumulated
damage. As a consequence, numerical solutions are obtained which are
unacceptable from a physical point of view. The introduction of higher
-order deformation gradients in the constitutive model is demonstrated
to be an adequate remedy to this deficiency of standard damage models
. A consistent numerical solution procedure of the governing partial;
differential equations is presented, which is shown to be capable of p
roperly simulating localization phenomena.