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Pré-Publication, Document De Travail Année : 2023

Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework

Résumé

This work develops an extension of the Data-Driven Computational Mechanics approach introduced by Kirchdoerfer and Ortiz (2016) to history-dependent behaviour. The material database is replaced by a material directed graph, where vertices represent strain-stress pairs and arcs encode thermomechanically admissible transitions between them. A graph search algorithm is used to select local material databases representative of the incremental material behaviour. This study thus gives the mathematical tools for a structured data-driven representation of the material behaviour, designed to minimise the increase of the problem dimensionality. The performances of the proposed approach applied to elastoplasticity are studied on a single-element structure and a larger truss structure. A two-step solver is proposed to address numerical convergence issues in the latter case.
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Dates et versions

hal-04259707 , version 1 (26-10-2023)
hal-04259707 , version 2 (01-12-2023)

Identifiants

  • HAL Id : hal-04259707 , version 1

Citer

Héloïse Dandin, Adrien Leygue, Laurent Stainier. Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework. 2023. ⟨hal-04259707v1⟩
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