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

Stainier, Laurent and Leygue, Adrien and Ortiz, Michael (2019) Model-free data-driven methods in mechanics: material data identification and solvers. Computational Mechanics, 64 (2). pp. 381-393. ISSN 0178-7675. https://resolver.caltech.edu/CaltechAUTHORS:20190604-153039944

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s00466-019-01731-1DOIArticle
ORCID:
AuthorORCID
Stainier, Laurent0000-0001-6719-6616
Leygue, Adrien0000-0003-0714-822X
Ortiz, Michael0000-0001-5877-4824
Additional Information:© 2019 Springer-Verlag GmbH Germany, part of Springer Nature. Received 15 February 2019; Accepted 19 May 2019; First Online 04 June 2019.
Group:GALCIT
Subject Keywords:Data-driven computational mechanics; Material data identification; Field measures; Importance sampling
Issue or Number:2
Record Number:CaltechAUTHORS:20190604-153039944
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190604-153039944
Official Citation:Stainier, L., Leygue, A. & Ortiz, M. Comput Mech (2019) 64: 381. https://doi.org/10.1007/s00466-019-01731-1
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96127
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Jun 2019 23:01
Last Modified:25 Feb 2020 10:47

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