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Graded damage in quasi‐brittle solids

Abstract : A novel approach to damage modeling for quasi-brittle solids is presented relying upon a differential inclusion that is closely related to the one of implicit gradient models. The proposed formulation naturally fits in the socalled non-local standard approach, whereby the framework of Generalized Standard Materials is extended to include gradients of internal variables to account for the physics of the fracture phenomenon in a regularized sense, i.e. via extended constitutive equations in which a length scale parameter brings to the macro level information about material microstructure. This concept is fully embodied into the present approach to quasi-brittle fracture, whereby progressive damage occurs in layers of finite thickness where the gradient of damage is bounded and a fully damaged region is understood as a fracture with no ambiguity. Key to the effective implementation of the model are the choice of two constitutive functions and the implicit tracking of regions in a state of progressive damage via Lagrange multipliers acting on internal constraints. The ideas are developed for a general Cauchy continuum and representative numerical simulations are included that demonstrate the model capabilities.
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https://hal.archives-ouvertes.fr/hal-03824708
Contributor : Claude Stolz Connect in order to contact the contributor
Submitted on : Friday, November 18, 2022 - 11:47:36 AM
Last modification on : Friday, November 25, 2022 - 7:00:06 PM

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Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License

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Nunziante Valoroso, Claude Stolz. Graded damage in quasi‐brittle solids. Int. J. Numer. Meth. Eng., 2022, 123 (11), pp.2467-2498. ⟨10.1002/nme.6947⟩. ⟨hal-03824708⟩

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