TY - JOUR
T1 - Identification of uniaxial deformation behavior and its initial tangent modulus for atheromatous intima in the human carotid artery and thoracic aorta using three-parameter isotropic hyperelastic models
AU - Bhat, Subraya Krishna
AU - Sakata, Noriyuki
AU - Yamada, Hiroshi
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - Uniaxial stretching tests are used for mechanical identification of small fibrous regions of atheromatous arteries. Material constants in isotropic hyperelastic models are determined to minimize the fitting error for the stress-strain curve. We developed a novel method to better characterize the material constants in typical forms of Yeoh, Ogden, Chuong-Fung (CF) and Gasser-Ogden-Holzapfel (GOH) isotropic hyperelastic models for fibrous caps and normal intimal layers from human carotid artery and thoracic aorta by incorporating Young's modulus, i.e., the initial tangent modulus of uniaxial stress-strain relationships, as one of three material constants. We derived a unified, isotropic form for the anisotropic exponential-Type strain energy density functions of CF and GOH models. The uniaxial stress-strain relationship equations were expanded to Maclaurin series to identify Young's modulus as a coefficient of the linear term of the strain and to examine the roles of the material constants in the nonlinear function. The remaining two material constants were determined by curvefitting. The incorporation of Young's modulus into the CF and GOH models gave reasonable curvefitting, with errors <10%, whereas large errors (>10%) were observed in one case for the Yeoh model and in two cases for the Ogden model.
AB - Uniaxial stretching tests are used for mechanical identification of small fibrous regions of atheromatous arteries. Material constants in isotropic hyperelastic models are determined to minimize the fitting error for the stress-strain curve. We developed a novel method to better characterize the material constants in typical forms of Yeoh, Ogden, Chuong-Fung (CF) and Gasser-Ogden-Holzapfel (GOH) isotropic hyperelastic models for fibrous caps and normal intimal layers from human carotid artery and thoracic aorta by incorporating Young's modulus, i.e., the initial tangent modulus of uniaxial stress-strain relationships, as one of three material constants. We derived a unified, isotropic form for the anisotropic exponential-Type strain energy density functions of CF and GOH models. The uniaxial stress-strain relationship equations were expanded to Maclaurin series to identify Young's modulus as a coefficient of the linear term of the strain and to examine the roles of the material constants in the nonlinear function. The remaining two material constants were determined by curvefitting. The incorporation of Young's modulus into the CF and GOH models gave reasonable curvefitting, with errors <10%, whereas large errors (>10%) were observed in one case for the Yeoh model and in two cases for the Ogden model.
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U2 - 10.1142/S0219519420500141
DO - 10.1142/S0219519420500141
M3 - Article
AN - SCOPUS:85084917787
SN - 0219-5194
VL - 20
JO - Journal of Mechanics in Medicine and Biology
JF - Journal of Mechanics in Medicine and Biology
IS - 3
M1 - 2050014
ER -