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Anisotropic Constitutive Modeling of Compressible Biological Tissue

Anisotropic Constitutive Modeling of Compressible Biological Tissue
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摘要 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. 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.
作者 Fuzhang Zhao Fuzhang Zhao(APD Optima Study, Lake Forest, USA)
机构地区 APD Optima Study
出处 《Advances in Pure Mathematics》 2022年第5期357-373,共17页 理论数学进展(英文)
关键词 ACSED Functional Biological Tissue Kinematic Model Nonlinear Elastic Deformation Tangent Poisson’s Ratio ACSED Functional Biological Tissue Kinematic Model Nonlinear Elastic Deformation Tangent Poisson’s Ratio
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