Johann Guilleminot

Journal article Comptes Rendus Mecanique · June 1, 2017 Featured Publication In this Note, we present a unified approach to the information-theoretic modeling and simulation of a class of elasticity random fields, for all physical symmetry classes. The new stochastic representation builds upon a Walpole tensor decomposition, which ... Full text Cite

Stochastic modeling of the Ogden class of stored energy functions for hyperelastic materials: the compressible case

Journal article ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik · March 1, 2017 Featured Publication This paper is devoted to the modeling of compressible hyperelastic materials whose response functions exhibit uncertainties at some scale of interest. The construction of parametric probabilistic representations for the Ogden class of stored energy functio ... Full text Cite

Stochastic hyperelastic constitutive laws and identification procedure for soft biological tissues with intrinsic variability.

Journal article Journal of the mechanical behavior of biomedical materials · January 2017 Featured Publication In this work, we address the constitutive modeling, in a probabilistic framework, of the hyperelastic response of soft biological tissues. The aim is on the one hand to mimic the mean behavior and variability that are typically encountered in the experimen ... Full text Cite

Functional approximation and projection of stored energy functions in computational homogenization of hyperelastic materials: A probabilistic perspective

Journal article Computer Methods in Applied Mechanics and Engineering · January 1, 2017 Featured Publication This work is concerned with the construction of a surrogate model for the homogenized stored energy functions defining the effective behavior of nonlinear elastic microstructures. Here, a probabilistic standpoint is adopted and allows for the definition of ... Full text Cite

Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocomposite

Journal article Computer Methods in Applied Mechanics and Engineering · May 1, 2016 Featured Publication This paper is concerned with the probabilistic multiscale analysis of polymeric materials reinforced by nanoscopic fillers. More precisely, this work is devoted to the stochastic modeling and inverse identification of the random field associated with the e ... Full text Cite

Itô SDE-based generator for a class of non-Gaussian vector-valued random fields in uncertainty quantification

Journal article SIAM Journal on Scientific Computing · January 1, 2014 Featured Publication This paper is concerned with the derivation of a generic sampling technique for a class of non-Gaussian vector-valued random fields. Such an issue typically arises in uncertainty quantification for complex systems, where the input coefficients associated w ... Full text Cite