Euler-Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10332642" target="_blank" >RIV/00216208:11320/16:10332642 - isvavai.cz</a>
Result on the web
<a href="http://www.scopus.com/inward/record.url?eid=2-s2.0-84959368591&partnerID=MN8TOARS" target="_blank" >http://www.scopus.com/inward/record.url?eid=2-s2.0-84959368591&partnerID=MN8TOARS</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Euler-Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range
Original language description
THE RESPONSE OF MANY NEW METALLIC ALLOYS as well as ordinary materials such as concrete is elastic and nonlinear even in the small strain range. Thus, using the classical linearized theory to determine the response of bodies could lead to a miscalculation of the stresses corresponding to the given strains, even in the small strain regime. As stresses can determine the failure of structural members, such miscalculation could be critical. We investigate the quantitative impact of the material nonlinearity in the Euler-Bernoulli type beam theory. The governing equations for the deflection are found to be nonlinear integro-differential equations, and the equations are solved numerically using a variant of the spectral collocation method. The deflection and the spatial stress distribution in the beam have been computed for two sets of models, namely the standard linearized model and some recent nonlinear models used in the literature to fit experimental data. The predictions concerning the deflection and the spatial stress distribution based on the standard linearized model and the nonlinear models are considerably different.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archives of Mechanics
ISSN
0373-2029
e-ISSN
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Volume of the periodical
68
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
23
Pages from-to
3-25
UT code for WoS article
000372097000001
EID of the result in the Scopus database
2-s2.0-84959368591