Anisotropic Constitutive Modeling of Compressible Biological Tissue

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, anisotropic—isotropic or invariant split. Related stress elasticity tensors in reference current configurations are worked out. A new kinematic model derived based on tangent Poisson’s ratio as a cubic polynomial function stretch. ACSED model, along with accurately fits uniaxial extension test data compressible human skin, bovine articular cartilage, aorta samples.