2^nd European Mechanics of Materials Conference on Mechanics of Materials with Intrinsic Length Scale : Physics, Experiments, Modelling and Applications

J. Phys. IV France 08 (1998) Pr8-293-Pr8-300
DOI: 10.1051/jp4:1998836

Wave propagation and localisation in nonlocal and gradient-enhanced damage models

R.H.J. Peerlings¹, R. de Borst^{1, 2}, W.A.M. Brekelmans¹ and M.G.D. Geers<sup>1, 3

1</sup>  Faculty of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
²  Faculty of Civil Engineering, Delft University of Technology, P.O. Box 5048, 2600 GA Delft, The Netherlands
³  Faculty of Civil Engineering, Royal Military Academy, avenue Renaissance 30, 1000 Brussels, Belgium

Abstract
Classical continuum descriptions of material degradation may cease to be mathematically meaningful in case of softening-induced localisation of deformation. Several enhancements of conventional models have been proposed to remove this deficiency. The properties of two of these so-called regularisation methods, the nonlocal and the gradient approaches, are examined and compared in a continuum damage context. It is shown that the enhanced models allow for the propagation of waves in the softening zone, in contrast to conventional damage models. For both types of enhancement wave propagation becomes dispersive. The behaviour under quasi-static loading conditions is studied numerically. Finite element simulations of a one-dimensional problem yield quite similar results for the nonlocal and a gradient-enhanced model. The gradient enhancement has been used to model concrete fracture, yielding results which are in good agreement with experimental data.

© EDP Sciences 1998