Review of energy conservation errors in finite element softwares caused by using energy-inconsistent objective stress rates

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F14%3A00218093" target="_blank" >RIV/68407700:21110/14:00218093 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.advengsoft.2013.06.005" target="_blank" >http://dx.doi.org/10.1016/j.advengsoft.2013.06.005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.advengsoft.2013.06.005" target="_blank" >10.1016/j.advengsoft.2013.06.005</a>

Result language
angličtina
Original language name
Review of energy conservation errors in finite element softwares caused by using energy-inconsistent objective stress rates
Original language description
The paper briefly summarizes the theoretical derivation of the objective stress rates that are work-conjugate to various finite strain tensors, and then briefly reviews several practical examples demonstrating large errors that can be used by energy inconsistent stress rates. It is concluded that the software makers should switch to the Truesdell objective stress rate, which is work-conjugate to Green?s Lagrangian finite strain tensor. The Jaumann rate of Cauchy stress and the Green-Naghdi rate, currently used in most software, should be abandoned since they are not work-conjugate to any finite strain tensor. The Jaumann rate of Kirchhoff stress is work-conjugate to the Hencky logarithmic strain tensor but, because of an energy inconsistency in the work of initial stresses, can lead to severe errors in the cases of high natural orthotropy or strain-induced incremental orthotropy due to material damage. If the commercial softwares are not revised, the user still can make in the user?s i
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JC - Computer hardware and software
OECD FORD branch
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Project
<a href="/en/project/GPP105%2F12%2FP353" target="_blank" >GPP105/12/P353: Numerical Modeling of Strain Hardening Fiber-Reinforced Composites</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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