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Stochastic analysis, simulation and identification of hyperelastic constitutive equations

Abstract : This work is concerned with the construction, generation and identification of stochastic continuum models, for heterogeneous materials exhibiting nonlinear behaviors. The main covered domains of applications are biomechanics, through the development of multiscale methods and stochastic models, in order to quantify the great variabilities exhibited by soft tissues. Two aspects are particularly highlighted. The first one is related to the uncertainty quantification in non linear mechanics, and its implications on the quantities of interest. The second aspect is concerned with the construction, the generation in high dimension and multiscale identification based on limited experimental data
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Brian Staber. Stochastic analysis, simulation and identification of hyperelastic constitutive equations. Mechanics [physics.med-ph]. Université Paris-Est, 2018. English. ⟨NNT : 2018PESC1042⟩. ⟨tel-01982185⟩

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