A polyconvex anisotropic strain-energy function for soft collagenous tissues.
Polyconvexity of a strain-energy function is a very important mathematical condition, especially in the context of a boundary-value problem. In the present paper, we propose an exponential polyconvex anisotropic strain-energy function. It is given by a series with an arbitrary number of terms and associated material constants. Each term of this series a priori satisfies the condition of the energy- and stress-free natural state so that no additional restrictions have to be imposed. Due to the exponential form, the proposed hyperelastic model is suitable for soft biological tissues. Thus, a good agreement with experimental data on different types of tissues is achieved.
Itskov
M
M
Department of Continuum Mechanics, RWTH Aachen University, Eilfschornsteinstr. 18, 52062 Aachen, Germany. itskov@km.rwth-aachen.de
Ehret
A E
AE
Mavrilas
D
D
D000818:Animals; D016880:Anisotropy; D001696:Biomechanical Phenomena / Q000379:methods*; D002417:Cattle; D003094:Collagen / Q000737:chemistry*; D003198:Computer Simulation; D004548:Elasticity; D020342:Finite Element Analysis; D006351:Heart Valves / Q000473:pathology; D008953:Models, Anatomic; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D009141:Musculoskeletal System; D010455:Peptides / Q000737:chemistry; D010496:Pericardium / Q000473:pathology; D011817:Rabbits; D012867:Skin / Q000473:pathology; D013314:Stress, Mechanical; D014783:Viscosity
D010455:Peptides; D003094:Collagen