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Model-free data-driven methods in mechanics: material data identification and solvers

Stainier, Laurent ; Leygue, Adrien ; Ortiz, Michael

Computational mechanics, 2019-08, Vol.64 (2), p.381-393 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
Model-free data-driven methods in mechanics: material data identification and solvers
Autor: Stainier, Laurent ; Leygue, Adrien ; Ortiz, Michael
Assuntos: Algorithms ; Analysis ; Boundary conditions ; Classical and Continuum Physics ; Computational Science and Engineering ; Computer simulation ; Constitutive models ; Construction materials ; Engineering ; Engineering Sciences ; Identification methods ; Importance sampling ; Imports ; Laws, regulations, etc ; Materials and structures in mechanics ; Mathematical models ; Mechanics ; Methods ; Numerical analysis ; Original Paper ; Solid mechanics ; Solvers ; Theoretical and Applied Mechanics
É parte de: Computational mechanics, 2019-08, Vol.64 (2), p.381-393
Descrição: This paper presents an integrated model-free data-driven approach to solid mechanics, allowing to perform numerical simulations on structures on the basis of measures of displacement fields on representative samples, without postulating a specific constitutive model. A material data identification procedure, allowing to infer strain–stress pairs from displacement fields and boundary conditions, is used to build a material database from a set of mutiaxial tests on a non-conventional sample. This database is in turn used by a data-driven solver, based on an algorithm minimizing the distance between manifolds of compatible and balanced mechanical states and the given database, to predict the response of structures of the same material, with arbitrary geometry and boundary conditions. Examples illustrate this modelling cycle and demonstrate how the data-driven identification method allows importance sampling of the material state space, yielding faster convergence of simulation results with increasing database size, when compared to synthetic material databases with regular sampling patterns.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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Model-free data-driven methods in mechanics: material data identification and solvers

Stainier, Laurent ; Leygue, Adrien ; Ortiz, Michael

Berlin/Heidelberg: Springer Berlin Heidelberg

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