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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2023

Hyperbolic modeling of gradient damage and one-dimensional finite volume simulations

Résumé

This study provides a new formulation of gradient damage model which allows an efficient explicit numerical solution of dynamics problems. The proposed methodology is based on an "extended Lagrangian approach" developed by one of the authors for the non dissipative and dispersive shallow water equation. By using this strategy, the global minimization problem commonly derived for gradient damage models is recast as a purely local hyperbolic one with source terms that can be easily solved using finite volumes. The numerical solution of the governing system is then based on a fractional-step method consisting of a classical Godunov-type scheme and an implicit Ordinary Differential Equation solver for the local source terms. Numerical results are presented on the one-dimensional multi-fragmentation and spalling tests for illustration purpose.
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Dates et versions

hal-04237557 , version 1 (11-10-2023)

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  • HAL Id : hal-04237557 , version 1

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Nicolas Favrie, Adrien Renaud, Djimédo Kondo. Hyperbolic modeling of gradient damage and one-dimensional finite volume simulations. 2023. ⟨hal-04237557⟩
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