The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity

P Neff, ID Ghiba, J Lankeit - Journal of Elasticity, 2015 - Springer
We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

The exponentiated Hencky-logarithmic strain energy: part III—coupling with idealized multiplicative isotropic finite strain plasticity

P Neff, ID Ghiba - Continuum Mechanics and Thermodynamics, 2016 - Springer
We investigate an immediate application in finite strain multiplicative plasticity of the family of
isotropic volumetric–isochoric decoupled strain energies F ↦ W_\rm eH (F):= W _\rm eH …

The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity

ID Ghiba, P Neff, M Šilhavý - International Journal of Non-Linear Mechanics, 2015 - Elsevier
In this paper we improve the result about the polyconvexity of the energies from the family of
isotropic volumetric-isochoric decoupled strain exponentiated Hencky energies defined in …

A note on Padé approximants of tensor logarithm with application to Hencky-type hyperelasticity

M Rezaee-Hajidehi, K Tůma, S Stupkiewicz - Computational mechanics, 2021 - Springer
We show that the logarithmic (Hencky) strain and its derivatives can be approximated, in a
straightforward manner and with a high accuracy, using Padé approximants of the tensor …

An ellipticity domain for the distortional Hencky logarithmic strain energy

ID Ghiba, P Neff, RJ Martin - Proceedings of the Royal …, 2015 - royalsocietypublishing.org
We describe ellipticity domains for the isochoric elastic energy F↦∥ dev n log⁡ U∥ 2=∥
log⁡ FTF (det F) 1/n∥ 2= 1 4∥ log⁡ C (det C) 1/n∥ 2 for n= 2, 3, where C= FTF for F∈ …

Thermomechanische und schädigungsmechanische Modellierung von hochlegierten TRIP-Stählen

A Seupel - 2021 - tubaf.qucosa.de
Abstract (DE) Die Arbeit widmet sich der Entwicklung und numerischen Implementierung
eines nichtlokalen kontinuumsmechanischen Schädigungsmodells zur Beschreibung des …

[PDF][PDF] Rank one convexity of the exponentiated Hencky-logarithmic strain energy in finite elastostatics

P Neff, ID Ghiba, J Lankeit - arXiv preprint arXiv:1403.3843, 2014 - researchgate.net
Many elastic materials show a completely different response regarding shape preserving
deformations and purely volumetric deformations. We investigate in this paper a family of …

[PDF][PDF] Beiträge zur analytischen und numerischen Homogenisierung in der Materialmodellierung

R Glüge - 2016 - core.ac.uk
Die Skalenkopplung via Homogenisierung und Lokalisierung ist ein umfangreiches
Forschungsgebiet, nicht nur aus Sicht der Mechanik. Man denke allein an die …

Failure analysis of coatings under thermo-mechanical loading

J Nordmann - 2020 - repo.bibliothek.uni-halle.de
This thesis analyse the failure behaviour of an iron aluminide-aluminium-compound in the
temperature range of 250 C to 400 C. The whole theory of the derived model is presented …

[PDF][PDF] The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized multiplicative isotropic finite strain plasticity

P Ne, ID Ghiba - 2015 - math.uaic.ro
The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized
multiplicative isotropic nite strain plas Page 1 The exponentiated Hencky-logarithmic strain …