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Analytical solutions in elasto-plasto bending of beams with rectangular cross section
Štok, Boris (Avtor), Halilovič, Miroslav (Avtor)

URLURL - Predstavitvena datoteka, za dostop obiščite http://dx.doi.org/10.1016/j.apm.2008.03.011 Povezava se odpre v novem oknu

Izvleček
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.

Jezik:Angleški jezik
Ključne besede:nosilci, upogib, elastoplastični materiali, analitične funkcije, beams, bending, elastic-plastic material, finite deflections, analityc functions, plastic collapse
Vrsta gradiva:Delo ni kategorizirano (r6)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FS - Fakulteta za strojništvo
Leto izida:2009
Št. strani:str. 1749-1760
Številčenje:Vol. 33, Issue 3
UDK:539.384
ISSN pri članku:0307-904X
DOI:10.1016/j.apm.2008.03.011 Povezava se odpre v novem oknu
COBISS.SI-ID:10587419 Povezava se odpre v novem oknu
Število ogledov:436
Število prenosov:156
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Naslov:Applied mathematical modelling
Skrajšan naslov:Appl. math. model.
Založnik:Butterworth Scientific Ltd
ISSN:0307-904X
COBISS.SI-ID:24983552 Povezava se odpre v novem oknu

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