FINITE-ELEMENT IMPLEMENTATION OF THE GAUGE-THEORY OF DAMAGE
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This work presents a finite element formulation of the guage theory of continuum damage as applied to solids with defects under mechanical loading. The Lagrangian density of the initially elastic body is expanded to include contributions from damage potentials that enter as compensating fields, necessary to restore local translational invariance of the action integral. The spatial finite element discretization is applied to the field variables, displacements and damage potentials, and the total Lagrangian is stantionarized with respect to variations of both fields. Additional constraints introduced by the antiexact gauge condition are imposed using a condensation of degrees of freedom method. The first part of the work includes the basic formulation, while the second part deals with the actual implementation and numerical examples pertinent to damage in composite laminates. 1994.