Non-Linear elastic deformation, 1984. ,
Cardiovascular soft tissue mechanics, 2000. ,
Nonlinear solid mechanics. A continuum approach for engineering, 2000. ,
Nonlinear theory of elasticity, 2004. ,
, Mechanics of biological tissue, 2006.
, Human Anatomy & Physiology, 2010.
Continuum biomechanics of soft biological tissues, Proc. R. Soc. Lond. A, vol.459, pp.3-46, 2003. ,
Mechanical models of artery walls, Arch Comput Methods Eng, vol.15, pp.1-36, 2008. ,
A rheological network model for the continuum anisotropic and viscoelastic behavior of soft tissue, Biomech Model Mechanobiol, vol.3, pp.56-65, 2004. ,
Biomechanics of brain tissue, Acta Biomater, vol.7, pp.83-95, 2011. ,
Mechanical characterization of the softening behavior of human vaginal tissue, J. Mech. Behav. Biomed, vol.4, pp.275-283, 2011. ,
An anisotropic inelastic constitutive model to describe stress softening and permanent deformation in arterial tissue, J. Mech. Behav. Biomed, pp.9-19, 2012. ,
Is arterial wall-strain stiffening an additional process responsible for atherosclerosis in coronary bifurcations?: an in vivo study based on dynamic CT and MRI, Am J Physiol Heart Circ Physiol, vol.301, pp.1097-106, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00846366
Hyperelastic energy densities for soft biological tissues: a review, J. Elast, vol.120, pp.129-160, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01480510
The anisotropic tensors, Quarterly of Applied Mathematics, vol.15, pp.309-314, 1957. ,
A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy, ZAMM-J. Appl. Math. Mech, vol.59, pp.157-167, 1979. ,
, Theory of Invariants, Continuum Physics, 1971.
Changes in the mechanical environment of stenotic arteries during interactionwith stents: computational assessment of parametric stent design, J. Biomech Eng, vol.127, pp.166-180, 2005. ,
Large elastic deformations of homogeneous anisotropic materials, Arch. Rational. Mech. Anal, vol.3, p.281301, 1954. ,
Physically based strain invariants set for materials exhibiting transversely isotropic behavior, J. Mech. Phys. Solids, vol.49, pp.871-891, 2001. ,
A class of orthotropic and transversely isotropic hyperelastic constitutive models based on a polyconvex strain energy function, Int. J. Solids Struct, vol.41, pp.3833-3848, 2004. ,
Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants, Eur. J. Mech. A Solids, vol.42, pp.90-96, 2013. ,
On the constitutive modeling of biological soft connective tissues. a general theoretical framework and explicit forms of the tensors of elasticity for strongly anisotropic continuum fiber-reinforced composites at finite strain, Int. J. Solids Struct, vol.39, pp.2343-2358, 2002. ,
Computational method of inverse elastostatics for anisotropic hyperelastic solids, Int. J. Numer. Meth. Engng, vol.69, pp.1239-1261, 2007. ,
A new constitutive model for multilayered collagenous tissues, J. Biomech, vol.41, pp.2766-2771, 2008. ,
On the Mullins effect and hysteresis of fibered biological materials: A comparison between continuous and discontinuous damage models, Int. J. Solids Struct, vol.46, pp.1727-1735, 2009. ,
On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy, Eur. J. Mech. A/Solids, vol.27, p.2839, 2008. ,
On non-physical response in models for fiber-reinforced hyperelastic materials, Int. J. Solids Struct, vol.47, pp.2056-2061, 2010. ,
Numerical analysis of the wall stress in abdominal aortic aneurysm: influence of the material model near-incompressibility, J. Mech. Med. Biol, vol.12, pp.1-19, 2012. ,
Sufficient conditions for strong ellipticity for a class of anisotropic materials, Int. J. Non-linear Mech, vol.38, pp.441-455, 2003. ,
On copositive matrices and strong ellipticity for isotropic elastic materials, Arch. Rational Mech. Anal, vol.84, pp.55-68, 1983. ,
Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids, Arch. Ration. Mech. Anal, vol.83, pp.53-90, 1983. ,
Material instabilities in fiber-reinforced nonlinearly elastic solids under plane deformation, Arch. Mech, vol.54, pp.525-552, 2002. ,
Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation, Int. J. Solids Struct, vol.30, pp.4707-4727, 2003. ,
Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory, J Eng Math, vol.68, pp.57-83, 2010. ,
Necessary and sufficient conditions for polyconvexity of isotropic functions, J. Complex Analysis, vol.12, pp.291-314, 2005. ,
Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions, Int. J. Solids Struct, vol.40, pp.401-445, 2003. ,
Poly-, quasi-and rank-one convexity in applied mechanics, CISM International Centre for Mechanical Sciences, vol.516 ,
Convexity conditions and existence theorems in non-linear elasticity, Archives for rational Mechanics and Analysis, vol.63, pp.557-611, 1977. ,
Constitutive equalities and existence theorems in elasticity, Ch. Symposium on Non-well posed problems and logarithmic convexity, vol.316, 1977. ,
, Constitutive models of rubber elasticity: a review, vol.73, pp.504-523, 2000.
, Constitutive equations for isotropic rubber-like materials using phenomenological approach: a bibliography, vol.79, pp.489-499, 1930.
A stress strain relation for a rat abdominal aorta, J. Biomech, vol.21, pp.369-374, 1988. ,
The non-linear characteristics of soft gels and hydrated connective tissues in ultrafiltration, J. Biomech, vol.23, pp.1145-1156, 1990. ,
A new multiscale model for the mechanical behavior of vein walls, J. Mech. Behav. Biomed, vol.23, pp.32-43, 2013. ,
Nonlinear micromechanics of soft tissues, Int J. Non-Linear Mech, vol.56, pp.79-85, 2013. ,
Statistical mechanics of chain molecules, 1969. ,
Application of statistical mechanics to the analysis of various physicalproperties of elastomeric networks-a review, Polymer, vol.43, pp.1503-1525, 2002. ,
An average-stretch full-network model for rubber elasticity, J. Elas, vol.70, pp.65-86, 2004. ,
DOI : 10.1007/1-4020-2308-1_7
Röntgenuntersuchungen gelöster fadenmoleküle, Recueil Trav. Chim, vol.68, pp.1106-1122, 1949. ,
DOI : 10.1007/bf01141535
Invariant formulation for dispersed transverse isotropy in aortic heart valves, Biomechan. Model. Mechanobiol, vol.4, pp.100-117, 2005. ,
DOI : 10.1007/s10237-005-0069-8
Structure-strength relations in mammalian tendon, Biophys, vol.24, pp.541-554, 1978. ,
DOI : 10.1016/s0006-3495(78)85400-9
URL : https://doi.org/10.1016/s0006-3495(78)85400-9
A structural mechanical model for tendon crimping, J. Biomech, vol.13, p.887, 1980. ,
DOI : 10.1016/0021-9290(80)90177-3
A new constitutive framework for arterial wall mechanics and a comparative study of material models, J. Elast, vol.61, pp.1-48, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-01297725
Theory of small on large: potential utility in computations of fluid-solid interactions in arteries, Comput. Methods Appl. Mech. Engrg, vol.196, pp.3070-3078, 2007. ,
Characterization of arterial wall mechanical behavior and stresses from human clinical data, J. Biomech, vol.41, pp.2618-2627, 2008. ,
DOI : 10.1016/j.jbiomech.2008.06.022
URL : https://hal.archives-ouvertes.fr/hal-00332640
A rate-independent elastoplastic constitutive model for biological fiberreinforcedcomposites at finite strains: continuum basis, algorithmic formulationand finite element implementation, Comput. Mech, vol.29, pp.340-360, 2002. ,
DOI : 10.1007/s00466-002-0347-6
Identifying heterogeneous anisotropic properties in cerebral aneurysms: a point wise approach, Biomech. Model. Mechanobiol, vol.10, pp.177-189, 2011. ,
DOI : 10.1007/s10237-010-0225-7
URL : http://europepmc.org/articles/pmc4260822?pdf=render
The stress-strain relationship for the skin, J. Biomech, vol.9, pp.649-657, 1976. ,
DOI : 10.1016/0021-9290(76)90107-x
Pseudoelasticity of arteries and the choice of its mathematical expression, Am. Phys/ Soc, vol.237, pp.620-631, 1979. ,
Three-dimensional stress distribution in arteries, J. Biomech. Engrg, vol.105, issue.3, pp.268-274, 1983. ,
DOI : 10.1115/1.3138417
Mechanics of arterial wall: Review and directions, Critical Reviews in Biomed. Engr, vol.23, pp.1-162, 1995. ,
DOI : 10.1615/critrevbiomedeng.v23.i1-2.10
Myosplint decreases wall stress without depressing function in the failing heart: a finite element model study, Ann. Thorac. Surg, vol.76, pp.1171-1180, 2003. ,
Distribution of stresses and of strain-energy density through the wall thickness in a canine aortic segment, Circ. Res, vol.32, pp.577-583, 1973. ,
Towards an understanding of the mechanics underlying aortic dissection, Biomechan Model Mechanobiol, vol.6, pp.345-359, 2007. ,
, Cardiovascular solid mechanics. Cells, Tissues and Organs, 2002.
DOI : 10.1007/978-0-387-21576-1
Computational mechanics of the heart: from tissue structure to ventricular function, J Elasticity, vol.61, pp.113-141, 2000. ,
The convexity properties of a class of constitutive models for biological soft tissues, Math. Mech. Solids, vol.7, pp.217-235, 2002. ,
An energetic approach to the analysis of anisotropic hyperelastic materials, Int. J. Eng. Sci, vol.46, pp.164-181, 2008. ,
Large elastic deformations of isotropic materials-VII. Experiments on the deformation of rubber, Philos. Trans. R. Soc, vol.243, pp.251-288, 1951. ,
A formulation of elasticity and viscoelasticity for fibre reinforced material at small and finite strains, Comput. Methods Appl. Mech. Engrg, vol.185, pp.225-243, 2000. ,
Instability of a finitely deformed fiber-reinforced elastic material, J. Appl. Mech, vol.50, pp.149-156, 1983. ,
Surface instability of sheared soft tissues, J. Biomech. Eng, vol.130 ,
URL : https://hal.archives-ouvertes.fr/hal-00341430
A transversely isotropic viscoelastic constitutive equation for brainstem undergoing finite deformation, J. Biomech. Eng, vol.128, pp.925-933, 2006. ,
Three-dimensional finite element modelling of muscle forces during mastication, J. Biomech, vol.40, pp.3363-3372, 2007. ,
On the use of the bingham statistical distribution in microsphere-based constitutive models for arterial tissue, Mech. Res. Comm, vol.37, pp.700-706, 2010. ,
A simple transversely isotropic hyperelastic constitutive model suitable for finite element analysis of fiber reinforced elastomers, J. Eng. Mater. Technol, vol.133, pp.1-13, 2011. ,
Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity, Comput. Methods Appl. Mech. Engrg, vol.190, pp.519-541, 2000. ,
A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids, J. Mech. Phys. Solids, vol.53, pp.1985-2015, 2005. ,
Determination of a constitutive relation for passive myocardium. I. a new functional form, ASME J. Biomech. Engrg, vol.15, pp.1413-1418, 1990. ,
Transversely isotropic materials undergoing large deformations and application to modelling soft tissues, Mech. Res. Commun, vol.28, pp.397-404, 2001. ,
Invariant-based anisotropic constitutive models of the healthy and aneurysmal abdominal aortic wall, J. Biomech. Eng. ASME, vol.131, pp.1-11, 2009. ,
On constitutive relations and finite deformations of passive cardiac tissue: I. a pseudo strain-energy approach, ASME J. Biomech. Engrg, vol.109, pp.298-304, 1987. ,
Determination of the layer-specific mechanical properties of human coronary arteries with non-atherosclerotic intimal thickening, and related constitutive modelling, Am. J. Physiol. Heart Circ. Physiol, vol.289, pp.2048-2058, 2005. ,
Finite implementation of incompressible, transversely isotropic hyperelasticity, Comput. Methods Appl. Mech. Engrg, vol.135, pp.107-128, 1996. ,
Stiffening by fiber reinforcement in soft materials: A hyperelastic theory at large strains and its application, J. Mech. Biomed. Mater, vol.4, pp.1359-1368, 2011. ,
Computational modeling of mechanical anisotropy in the cornea and sclera, J Cataract Refract Surg, vol.31, pp.136-145, 2005. ,
A transversally isotropic elasto-damage constitutive model for the periodontal ligament, Comput. Method Biomech, vol.6, pp.329-336, 2003. ,
Experimental study and constitutive modeling of the viscoelastic mechanical properties of the human prolapsed vaginal tissue, Biomech. Model. Mechanobiol, vol.9, pp.35-44, 2010. ,
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations, J. R. Soc. Interface, vol.3, pp.15-35, 2006. ,
A hyperelastic constitutive law for aortic valve tissue, J. Biomech. Eng, vol.131, pp.1-7, 2009. ,
Prediction of the softening and damage effects with permanent set in fibrous biological materials, J. Mech. Phys. Solids, vol.59, pp.1808-1822, 2011. ,
Finite dynamic deformations of a hyperelastic, anisotropic, incompressible and prestressed tube. Applications to in vivo arteries, Eur. J. Mech. A/Solids, vol.29, pp.523-529, 2010. ,
Numerical simulation of fluidstructure interaction in stenotic arteries considering two layer nonlinear anisotropic structural model, Int. Com. Heat Mass Transf, vol.36, pp.137-142, 2009. ,
Finite element modelling of cell wall properties for onion epidermis using a fibre-reinforced hyperelastic model, J. Struct. Biol, vol.172, pp.300-304, 2010. ,
An osmotically inflatable seal to treat endoleaks of type 1, J. Mech. Med. Biol, vol.12, p.1250070, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01974834
A model for the human cornea: constitutive formulation and numerical analysis, Biomechan. Model. Mechanobiol, vol.5, pp.237-246, 2006. ,
A novel two-layer, coupled finite element approach for modeling the nonlinear elastic and viscoelastic behavior of human erythrocytes, Biomech Model Mechanobiol, vol.10, pp.445-459, 2011. ,
Finite element analysis of the mitral apparatus: annulus shape effect and chordal force distribution, Biomech. Model. Mechanobiol, vol.8, pp.43-55, 2009. ,
Experimental characterization and constitutive modeling of the mechanical behavior of the human trachea, Med. Eng. Phys, vol.32, pp.76-82, 2010. ,
Modeling of the fluid structure interaction of a human trachea under different ventilation conditions, Int. Comm. Heat Mass Transf, vol.38, pp.10-15, 2011. ,
Finite element simulation of arcuates for astigmatism correction, J. Biomech, vol.41, pp.797-805, 2008. ,
An inverse finite element method for determining the anisotropic properties of the cornea, Biomech. Model. Mechanobiol, vol.10, pp.323-337, 2011. ,
The modelling of fibre reorientation in soft tissue, Biomech. Model. Mechanobiol, vol.8, pp.359-370, 2009. ,
Mechanical and histological characterization of the abdominal muscle. a previous step to modelling hernia surgery, J. Mech. Biomed. Mater, vol.4, pp.392-404, 2011. ,
Muscle performance in a soft-bodied terrestrial crawler: constitutive modeling of strain-rate dependency, J. R. Soc., Interface, vol.5, pp.349-362, 2008. ,
A transversely isotropic viscohyperelastic material application to the modeling of biolgical soft connective tissues, Int. J. Solids Struct, vol.41, pp.4237-4260, 2004. ,
On modelling damage process in vaginal tissue, J. Biomech, vol.42, pp.642-651, 2009. ,
Introducing mesoscopic information into constitutive equations for arterial walls, Biomechan Model Mechanobiol, vol.6, p.333344, 2007. ,
A general polyconvex strain-energy function for fiber-reinforced materials, Proc. Appl. Math. Mech, vol.5, pp.245-246, 2005. ,
Swelling of an internally pressurized nonlinearly elastic tube with fiber reinforcing, Int. J. Solids Struct, vol.44, pp.4009-4029, 2007. ,
On dissolution and reassembly of filamentary reinforcing networks in hyperelastic materials, Proc. R. Soc. A, vol.465, pp.867-894, 2009. ,
Application of transversely isotropic materials to multi-layer shell elements undergoing finite rotations and large strains, Int. J. Solids Struct, vol.38, pp.9493-9503, 2001. ,
Finite element modelling of orthotropic material behaviour in pneumatic membranes, Int. J. Solids Struct, vol.38, pp.9525-9544, 2001. ,
Constitutive modelling of passive myocardium: a structurally based framework for material characterization, Phil. Trans. R. Soc. A, vol.367, pp.3445-75, 2009. ,
Modeling shear behavior of the annulus fibrosus, J. Mech. Biomed. Mater, vol.4, pp.1103-1114, 2011. ,
, Continuum theory of the mechanics of fibre-reinforced composites, 1984.
A polyconvex anisotropic strain energy function for soft collagenous tissues, Biomech Model Mechanbiol, vol.5, p.1726, 2006. ,
A polyconvex hyperelastic model for fiber-reinforced materials in application to soft tissues, J. Mater. Sci, vol.42, pp.8853-8863, 2007. ,
Biomechanical behaviour of oesophageal tissues: Material and structural configuration, experimental data and constitutive analysis, Med. Eng. & Phys, vol.31, pp.1056-1062, 2009. ,
Modeling interlamellar interactions in angle-ply biologic laminates for annulus fibrosus tissue engineering, Biomech Model Mechan, vol.10, pp.973-984, 2011. ,
Computational modeling of passive myocardium, Int. J. Numer. Meth. Biomed. Engng, vol.27, p.112, 2011. ,
A simple anisotropic hyperelastic constitutive model for textile fabrics with application to forming simulation, Composites: Part B, vol.52, pp.275-281, 2013. ,
Permanent set and stress softening constitutive equation applied to rubber like materials and soft tissues, Acta Mech, vol.225, pp.1685-1698, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00963802
An anisotropic hyperelastic constitutive model with fiber-matrix shear interaction for the human annulus fibrosus, J. Appl. Mech. Trans ASME, vol.73, pp.815-824, 2006. ,
Large deformation response of a hyperelastic fibre reinforced composite: Theoretical model and numerical validation, Composites Part A, vol.38, p.18421851, 2007. ,
Mechanical response of neo-hookean fiber reinforced incompressible nonlinearly elastic solids, Int. J. Solids Struct, vol.44, pp.1949-1969, 2007. ,
A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus, J. Mech. Phys. Solids, vol.54, pp.1952-1971, 2006. ,
Hyperelastic anisotropic microplane constitutive model for annulus fibrosus, Transactions of the ASME, vol.129, pp.1-10, 2007. ,
Mechanical stresses in abdominal aortic aneurysms: influence of diameter, asymmetry, and material anisotropy, J. Biomech. Eng, vol.130 ,
Structure and function of myocardial fibrillar collagen. Technology and Health Care, vol.5, pp.95-113, 1997. ,
A pseudo active kinematic constraint for a biological living soft tissue: An effect of the collagen network, Math. Comput. Model, vol.49, pp.2170-2181, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00343369
A three dimensional finite element method for biological active soft tissue-Formulation in cylindrical polar coordinates. Mathematical Modelling and Numerical Analysis, vol.2, pp.725-739, 2003. ,
Nonlinear Solid Mechanics, A Continuum Approach For Engineering, 2001. ,
On implicit constitutive theories, Appl. Math, vol.48, pp.279-319, 2003. ,
An implicit elastic theory for lung parenchyma, Int. J. Eng. Sci, vol.62, pp.31-47, 2013. ,
Measurements of mechanical anisotropy in brain tissue and implications for transversely isotropic material models of white matter, J. Mech. Beh. Biomed. Mater, vol.23, pp.117-132, 2013. ,
A new parameter identification method of soft biological tissue combining genetic algorithm with analytical optimization, Comput. Methods Appl. Mech. Engrg, vol.200, pp.208-215, 2011. ,
Determination of constitutive equations for human arteries from clinicaldata, J. Biomechanics, vol.36, pp.165-169, 2003. ,
Passive mechanical properties of porcine left circumflex artery and its mathematical description, Med. Eng. Phys, vol.29, pp.8-16, 2007. ,
Blood vessel constitutive models, Annu. Rev. Biomed. Eng, vol.5, pp.413-439, 1995. ,
A transversely isotropic constitutive model of excised guinea pig spinal cord white matter, J. Biomech, vol.43, pp.2839-2843, 2010. ,
A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis, Eur. J. Mech. A/Solids, vol.21, pp.441-463, 2002. ,
A discrete-time approach to the formulation of constitutive models for viscoelastic soft tissues, Biomech Model Mechan, vol.3, pp.85-97, 2004. ,
Nonlinear viscoelastic, thermodynamically consistent, models for biological soft tissue, Biomech. Model. Mechanobio, vol.3, pp.172-189, 2005. ,
A constitutive model of the posterior cruciate ligament, Med. Eng. Phys, vol.28, pp.99-113, 2006. ,