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In many biomechanical studies, blood vessels can be modeled as pseudoelastic orthotropic materials that are incompressible (volume-preserving) under physiological loading. To use a minimum number of elastic constants to describe the constitutive behavior of arteries, we adopt a generalized Hooke's law for the co-rotational Cauchy stress and a recently proposed logarithmicexponential strain. This strain tensor absorbs the material nonlinearity and its trace is zero for volume-preservingdoi:10.1016/j.jtbi.2011.05.005 pmid:21605567 pmcid:PMC3164528 fatcat:msmxnztmfrdafjut5qb43eqs7q