Introduction of an internal time in nonlocal integral theories

Abstract : Nonlocal damage models are now commonly used. Their ability to make finite element compu- tations with softening laws robust and mesh independent is well established. There are nevertheless still a few open questions as the identification of the so-called internal length lc, as its loading or its boundary independency. One focuses in the present note on the boundary conditions problem in nonlocal integral approaches and on the feature that points separated by a crack or a hole should not interact as they do in Pijaudier-Cabot and Bazant initial nonlocal theory. Instead of defining an internal length one proposes to make the nonlocal weight function as a function of the information time propagation of an elastic wave normalized by an internal time τc.
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Rodrigue Desmorat, Fabrice Gatuingt. Introduction of an internal time in nonlocal integral theories. Computational Modelling of Concrete Structures, Euro-C 2010, Mar 2010, Austria. pp.Clé USB. ⟨hal-01017194⟩

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