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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

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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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