Proenca, SPBBalbo, Antonio Roberto [UNESP]2014-05-202014-05-202004-04-01International Journal of Solids and Structures. Oxford: Pergamon-Elsevier B.V., v. 41, n. 7, p. 1975-1989, 2004.0020-7683http://hdl.handle.net/11449/39269This work is related with the proposition of a so-called regular or convex solver potential to be used in numerical simulations involving a certain class of constitutive elastic-damage models. All the mathematical aspects involved are based on convex analysis, which is employed aiming a consistent variational formulation of the potential and its conjugate one. It is shown that the constitutive relations for the class of damage models here considered can be derived from the solver potentials by means of sub-differentials sets. The optimality conditions of the resulting minimisation problem represent in particular a linear complementarity problem. Finally, a simple example is present in order to illustrate the possible integration errors that can be generated when finite step analysis is performed. (C) 2003 Elsevier Ltd. All rights reserved.1975-1989engdamage mechanicsvariational formulationconvex analysisArtigo10.1016/j.ijsolstr.2003.11.016WOS:000189227000013Acesso restrito0884799120343367