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A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubes
[article]

2017
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arXiv
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pre-print

We investigate a finite element formulation of the exponentiated Hencky-logarithmic model whose strain energy function is given by W_eH(F) = μk e^ k dev_n U^2 + κ2 k̂ e^k̂ [tr (U)]^2 , where μ>0 is the (infinitesimal) shear modulus, κ>0 is the (infinitesimal) bulk modulus, k and k̂ are additional dimensionless material parameters, U=√(F^TF) and V=√(FF^T) are the right and left stretch tensor corresponding to the deformation gradient F, denotes the principal matrix logarithm on the set of

arXiv:1705.08381v1
fatcat:twfcwgvbf5fcrgqyvrpav527ue