A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
[article]
2014
arXiv
pre-print
We investigate a family of isotropic volumetric-isochoric decoupled strain energies F W__ eH(F):=W__ eH(U):={< a r r a y >. based on the Hencky-logarithmic (true, natural) strain tensor U, where μ>0 is the infinitesimal shear modulus, κ=2μ+3λ/3>0 is the infinitesimal bulk modulus with λ the first Lamé constant, k,k are dimensionless parameters, F=∇φ is the gradient of deformation, U=√(F^T F) is the right stretch tensor and dev_nU =U-1/n tr(U)· 11 is the deviatoric part of the strain tensor U.
arXiv:1403.3843v2
fatcat:xrm6p6azbvgcded4vevhilzeca