Premium
An extended exponentiated Hencky energy for transverse isotropy
Author(s) -
von Hoegen Markus,
Schröder Jörg,
Neff Patrizio
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800073
Subject(s) - logarithm , transverse isotropy , isotropy , anisotropy , transverse plane , strain energy , mathematics , tensor (intrinsic definition) , mathematical analysis , strain (injury) , infinitesimal strain theory , physics , classical mechanics , geometry , structural engineering , thermodynamics , finite element method , optics , medicine , engineering
In this contribution we aim to formally extend the promising exponentiated Hencky strain‐energy to transversely isotropic problems. This is facilitated by using additional anisotropic logarithmic strain invariants. The potential of the logarithmic‐strain driven material response is studied for a numerical example associated to arterial wall mechanics in order to draw a comparison to a more classical material formulation based on the right Cauchy‐Green tensor.