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This paper presents an integrated model-free data-driven approach to solidmechanics, allowing to perform numerical simulations on structures on the basisof measures of displacement fields on representative samples, withoutpostulating a specific constitutive model. A material data identificationprocedure, allowing to infer strain-stress pairs from displacement fields andboundary conditions, is used to build a material database from a set ofmutiaxial tests on a non-conventional sample. This database is in turn used bya data-driven solver, based on an algorithm minimizing the distance betweenmanifolds of compatible and balanced mechanical states and the given database,to predict the response of structures of the same material, with arbitrarygeometry and boundary conditions. Examples illustrate this modelling cycle anddemonstrate how the data-driven identification method allows importancesampling of the material state space, yielding faster convergence of simulationresults with increasing database size, when compared to synthetic materialdatabases with regular sampling patterns.

Model-Free Data-Driven Methods in Mechanics: Material Data Identification and Solvers