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Goal-oriented updating of mechanical models using the adjoint framework

Abstract : In this paper, we introduce a goal-oriented procedure for the updating of mechanical models. It is based as usual on information coming from measurement data, but these data are post-processed in a convenient way in order to firstly update model parameters which are the most influent for the prediction of a given quantity of interest. The objective is thus to perform a partial model calibration that enables to obtain an approximate value of the quantity of interest with sufficient accuracy and minimal model identification effort. The updating method uses the constitutive relation error framework as well as duality and adjoint techniques. Its lead to a convenient strategy, mainly based on sensitivity analysis, that selects the relevant parameter set to be updated and also provides for useful quantitative tools in order to define optimal experiments. Performances of the approach are analyzed on examples involving linear elasticity and transient thermal models. Quantity of interest, constitutive relation error, sensitivity analysis
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Ludovic Chamoin, Pierre Ladevèze, Julien Waeytens. Goal-oriented updating of mechanical models using the adjoint framework. Computational Mechanics, Springer Verlag, 2014, 54 (6), pp.1415-1430. ⟨10.1007/s00466-014-1066-5⟩. ⟨hal-01057077⟩

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