J. Phys. IV France 08 (1998) Pr8-277-Pr8-284
Nonlocal modification of the Gurson - ModelU. Mühlich and R. Kienzler
Universität Bremen, Fachbereich Produktionstechnik, Technische Mechanik-Strukturmechanik, Badgasteiner Str. 1, 28359 Bremen, Germany
The mesh dependence of some problems in damage mechanics is assumed to be mainly due to errors introduced by the homogenization process. To correct these errors, a nonlocal formulation is proposed. As in the nonlocal theory of elasticity, the formulation of the internal work has been extended by a nonlocal term. From a global statement of equilibrium for a structure composed of representative volume elements (RVE's), equations are obtained which have to be satisfied for every single RVE. In order to deal with a two-dimensional problem, only the case of long cylindrical voids in a ductile matrix material under generalized plane strain conditions has been considered. The resulting nonlocal modification of the yield condition will be discussed.
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