A theoretical and computational setting for a geometrically nonlinear gradient damage modelling framework |
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Authors: | B Nedjar |
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Affiliation: | (1) Laboratoire d'Analyse des Matériaux et Identification, Ecole Nationale des Ponts et Chaussées, 6 et 8, avenue Blaise Pascal, 77455 Marne la Vallée Cedex 2, France e-mail: nedjar@lami.enpc.fr, FR |
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Abstract: | The present work deals with the extension to the geometrically nonlinear case of recently proposed ideas on elastic- and
elastoplastic-damage modelling frameworks within the infinitesimal theory. The particularity of these models is that the damage
part of the modelling involves the gradient of damage quantity which, together with the equations of motion, are ensuing from
a new formulation of the principle of virtual power. It is shown how the thermodynamics of irreversible processes is crucial
in the characterization of the dissipative phenomena and in setting the convenient forms for the constitutive relations. On
the numerical side, we discuss the problem of numerically integrating these equations and the implementation within the context
of the finite element method is described in detail. And finally, we present a set of representative numerical simulations
to illustrate the effectiveness of the proposed framework.
Received: 13 May 2002 / Accepted: 16 September 2002 |
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Keywords: | Continuum damage mechanics Gradient of damage Finite strains Continuum thermodynamics Finite element method |
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