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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

<a href="/cs/project/GPP105%2F12%2FP353" target="_blank" >GPP105/12/P353: Numerické modelování vláknocementových kompozitů s řízenými vlastnostmi</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Applied Mechanics

ISSN

0021-8936

e-ISSN

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Svazek periodika

81

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

5

Strana od-do

"021008-1"-"021008-5"

Kód UT WoS článku

000330350000008

EID výsledku v databázi Scopus

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