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  • Analytical solutions in elasto-plasto bending of beams with rectangular cross section
    Štok, Boris ; Halilovič, Miroslav
    Deflection analysis of beams with rectangular cross section is considered under specific loading conditions, resulting in at most quadratic bending moment distribution, and assuming elasto-plastic ... behaviour with no hardening. Within the framework of small strain and small displacement approach analytical solutions are derived, which enable elasto-plastic analyses of beams to be performed in a closed analytical form. In consequence, clear tracing of the elasto-plastic response evolution with a propagation of the plastic zone through the volume, i.e. its spreading along the beam's longitudinal axis as well as its penetration through the cross section, is enabled as loads increase, from the appearance of a first plastic yielding in a structure till its collapse. With the derivation of the general solution, listed explicitly by Eqs. (21), (22) and (23), which was never presented in any article or book before, the presented article fills the gap in the analytical non-linear mechanics of beams.
    Vir: Applied mathematical modelling. - ISSN 0307-904X (Letn. 33, št. 3, 2008, str. 1749-1760)
    Vrsta gradiva - članek, sestavni del
    Leto - 2007
    Jezik - angleški
    COBISS.SI-ID - 10587419

vir: Applied mathematical modelling. - ISSN 0307-904X (Letn. 33, št. 3, 2008, str. 1749-1760)

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