Energy-Conservation Error Due to Use of Green-Naghdi Objective Stress Rate in Commercial Finite-Element Codes and Its Compensation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F14%3A00211138" target="_blank" >RIV/68407700:21110/14:00211138 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1115/1.4024411" target="_blank" >http://dx.doi.org/10.1115/1.4024411</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1115/1.4024411" target="_blank" >10.1115/1.4024411</a>

Result language
angličtina
Original language name
Energy-Conservation Error Due to Use of Green-Naghdi Objective Stress Rate in Commercial Finite-Element Codes and Its Compensation
Original language description
The objective stress rates used in most commercial finite element programs are the Jaumann rate of Kirchhoff stress, Jaumann rates of Cauchy stress or Green-Naghdi rate. The last two were long ago shown not to be associated by work with any finite straintensor, and the first has often been combined with tangential moduli not associated by work. The error in energy conservation was thought to be negligible, but recently, several papers presented examples of structures with high volume compressibility orhigh degree of orthotropy in which the use of commercial software with the Jaumann rate of Cauchy or Kirchhoff stress leads to major errors in energy conservation, on the order of 25%-100%. The present paper focuses on the Green-Naghdi rate, which is used in the explicit nonlinear algorithms of commercial softwares, e.g., in subroutine VUMAT of ABAQUS. This rate can also lead to major violations of energy conservation (or work conjugacy)-not only because of high compressibility or prono
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
JM - Structural engineering
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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