Constitutive framework optimized for myocardium and other high-strain, laminar materials with one fiber family

DOI10.1016/S0022-5096(01)00138-7zbMath1041.74003OpenAlexW2170745076MaRDI QIDQ700951

William C. Hunter, Andrew D. McCulloch, Criscione, John C.

Publication date: 16 October 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(01)00138-7

zbMATH Keywords

Cauchy stresskinematic tensorstrain energycovarianceresponse functionhyperelastic limitrotation invariant scalars

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (7)

A 3D Nonlinear Anisotropic Spherical Inflation Model for Intracranial Saccular Aneurysm Elastodynamics ⋮ Simulation of the 3D hyperelastic behavior of ventricular myocardium using a finite-element based neural-network approach ⋮ On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials ⋮ On ellipticity of hyperelastic models restored by experimental data ⋮ Saturation boundary condition within the context of the theory of interacting media with a certain distribution of fibers ⋮ A constitutive framework for tubular structures that enables a semi-inverse solution to extension and inflation ⋮ On constitutive modelling of porous neo-Hookean composites

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• The Strain-Energy Function for Anisotropic Elastic Materials
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity
• Physically based strain invariant set for materials exhibiting transversely isotropic behavior

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