Summary
The present paper is concerned with the formulation of a constitutive model describing the hysteresis loops of stress-strain relations of blood vessels under cyclic loading conditions. It is assumed that the hysteresis loop is composed of elastic deformation and viscoplastic deformation. Hence the total strain is expressed as the sum of the elastic part and the inelastic part on the basis of a finite deformation theory. Then the elastic part is established by postulating a strain energy function of an exponential type, while the inelastic part is formulated by modifying the nonlinear kinematic hardening rule in the viscoplastic model proposed by Chaboche et al. A comparison of the numerical result with the literature shows that the present model can describe the hysteresis loop qualitatively.
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Tanaka, E., Yamada, H. An inelastic constitutive model of blood vessels. Acta Mechanica 82, 21–30 (1990). https://doi.org/10.1007/BF01173737
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DOI: https://doi.org/10.1007/BF01173737