TITLE:
Anisotropic Constitutive Modeling of Compressible Biological Tissue
AUTHORS:
Fuzhang Zhao
KEYWORDS:
ACSED Functional, Biological Tissue, Kinematic Model, Nonlinear Elastic Deformation, Tangent Poisson’s Ratio
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.5,
May
20,
2022
ABSTRACT: The anisotropic continuum stored energy density (ACSED) functional is applied for accurate constitutive modeling of biological tissues and finite element implementation without the isochoric—volumetric split, the anisotropic—isotropic split, or the anisotropic invariant split. Related stress and elasticity tensors in the reference and current configurations are worked out. A new kinematic model is derived based on the tangent Poisson’s ratio as a cubic polynomial function of stretch. The ACSED model, along with the kinematic model, accurately fits uniaxial extension test data for compressible human skin, bovine articular cartilage, and human aorta samples.