1st European Mechanics of Materials Conference on Local Approach to Fracture '86 - 96'
J. Phys. IV France 06 (1996) C6-491-C6-502
A Gradient-Enhanced Damage Approach to FractureR. de Borst1, A. Benallal2 and O.M. Heeres1
1 Delft University of Technology, Faculty of Civil Engineering, P.O. Box 5048, 2600 GA Delft, The Netherlands
2 Laboratoire de Mécanique et Technologie, CNRS/ENS de Cachan, Université Paris 6, France
A gradient-enhanced damage is formulated in which the Laplacian of the internal variable which memorises the damage enters the damage loading function in addition to the conventional dependence on this internal variable itself. The computational setting for this higher-order continuum model is fully elaborated. Its embedment in thermodynamics is discussed and some remarks are made on the additional boundary conditions that arise. Finally, the special case is discussed for which there is a linear relation between the damage variable and the internal variable that memorises the damage evolution.
© EDP Sciences 1996