, Convexity conditions and existence theorems in nonlinear elasticity Archive for rational mechanics and Analysis Some recent developments in nonlinear elasticity and 420 its applications to materials science, Nonlinear Mathematics and its Applications, pp.337-403, 1977.
, A polyconvex framework for soft biological tissues. adjustment 425 to experimental data, International journal of solids and structures, pp.43-6052, 2006.
, Hyperelastic Energy Densities for Soft Biological Tissues: A Review, Journal of Elasticity, vol.37, issue.34, pp.1-32, 2014.
DOI : 10.1007/s10659-014-9508-z
URL : https://hal.archives-ouvertes.fr/hal-01480510
, Combined compression and elongation experiments and nonlinear modelling of liver tissue for surgical simulation, Medical and Biological Engineering and Computing, pp.42-787, 2004.
, Mathematical elasticity: Three-dimensional elasticity, 1993.
, Non-Uniform Random Variate Generation, p.440, 1986.
DOI : 10.1007/978-1-4613-8643-8
, Hyperelastic modelling of arterial layers with distributed collagen fibre orientations, Journal of The Royal Society Interface, vol.37, issue.7, pp.15-35, 2006.
DOI : 10.1016/j.jbiomech.2003.11.026
, Bayesian 445 Data Analysis, 2003.
, On the Statistical Dependence for the Components of Random Elasticity Tensors Exhibiting Material Symmetry Properties, Journal of Elasticity, vol.21, issue.5, pp.109-130, 2013.
DOI : 10.1007/s10659-012-9396-z
URL : https://hal.archives-ouvertes.fr/hal-00724048
, A new constitutive framework for arterial wall mechanics and a comparative study of material models, Journal of elasticity and the physical science of solids, pp.61-62, 2000.
, Constitutive modelling 455 of arteries, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp.466-1551, 2010.
, Characterisation of the mechanical behaviour of brain tissue in 460 compression and shear, Biorheology, pp.45-663, 2008.
, Information theory and stastitical mechanics ii Information theory and statistical mechanics i, Physical Review Physical Review, vol.10816, issue.106, pp.171-190, 1957.
, A comprehensive experimental study on material properties of human brain tissue, Journal of Biomechanics, vol.46, issue.16, pp.2795-2801, 2013.
DOI : 10.1016/j.jbiomech.2013.09.001
, Continuous 470 multivariate distributions, 2002.
, Optimization by vector space methods, 1969.
, A bayesian ap- 475 proach to selecting hyperelastic constitutive models of soft tissue Bayesian calibration of hyperelastic constitutive models of soft tissue, Journal of the mechanical behavior of biomedical 480 materials, pp.102-122, 2015.
, Constitutive modelling of brain tissue: Experiment and theory, Journal of Biomechanics, vol.30, issue.11-12, pp.1115-1121, 1997.
DOI : 10.1016/S0021-9290(97)00092-4
, Quasi-convexity and the lower semicontinuity of multiple integrals, Pacific Journal of Mathematics, vol.2, issue.1, pp.25-53, 1952.
DOI : 10.2140/pjm.1952.2.25
, On a new class of elastic deformations not allowing for cavitation, Annales de l'I, p.490
, Identification of multi-modal random variables through mixtures of polynomial chaos expansions, Comptes Rendus M??canique, vol.338, issue.12, pp.698-703, 2010.
DOI : 10.1016/j.crme.2010.09.003
URL : https://hal.archives-ouvertes.fr/hal-00521932
, Non-Linear Elastic Deformations, Dover Pub- 495 lications, 1987.
, Fitting hyperelastic models to experimental data, Computational Mechanics, pp.484-502, 2004.
, Mechani- 500 cal characterization of brain tissue in compression at dynamic strain rates Journal of the mechanical behavior of biomedical materials Mechanical characterization of brain tissue in simple shear at dynamic strain rates, Journal of the mechanical be- 505 havior of biomedical materials Mechanical characterization of brain tissue in tension at dynamic strain rates, Journal of the mechanical behavior of biomedical materials, vol.103031, issue.28, pp.23-38, 2012.
, Experimental 510 characterisation of neural tissue at collision speeds, International Research Council on Biomechanics of Injury Conference International Research Council on Biomechanics of Injury (IRCOBI), 2012.
, The Nonlinear Material Properties of Liver Tissue Determined From No-Slip Uniaxial Compression Experiments, Journal of Biomechanical Engineering, vol.129, issue.3, pp.450-456, 2007.
DOI : 10.1115/1.2720928
, In vitro measurement of mechanical properties of liver tissue under compression and elongation using a new test piece holding method with surgical glue, 525 in Surgery Simulation and Soft Tissue Modeling, pp.284-292, 2003.
, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x
, A computational inverse method for identification of 530 non-gaussian random fields using the bayesian approach in very high dimension Polynomial chaos expansion of a multimodal random vector, Computer Methods in Applied Mechanics and Engineering SIAM/ASA J. Uncertainty Quantification, vol.20038, issue.3, pp.3083-3099, 2011.
, Compression behavior of porcine spinal cord white matter, Journal of Biomechanics, vol.44, issue.6, pp.1078-1082, 2011.
DOI : 10.1016/j.jbiomech.2011.01.035
, Stochastic modeling of a class 540 of stored energy functions for incompressible hyperelastic materials with uncertainties, Comptes Rendus Mécanique Accepted for publication, Stochastic modeling of the ogden class of stored energy functions for hyperelastic materials: the compressible case, 545 ZAMM ? Journal of Applied Mathematics and Mechanics, pp.503-514, 2015.
, Experimental mechanical characterization of abdominal organs: liver, kidney & spleen, Journal of the Mechanical Behavior of Biomedical Materials, vol.17, p.550
DOI : 10.1016/j.jmbbm.2012.07.010
, Anisotropic constitutive equations and experimental tensile behavior of brain tissue, Biomechanics and Modeling in Mechanobiology, vol.18, issue.1, p.5
DOI : 10.1007/s10237-005-0007-9