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An energetic view on the limit analysis of normal bodies
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SYSNO ASEP 0351153 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název An energetic view on the limit analysis of normal bodies Tvůrce(i) Lucchesi, M. (IT)
Padovani, C. (IT)
Šilhavý, Miroslav (MU-W) RID, SAI, ORCIDZdroj.dok. Quarterly of Applied Mathematics - ISSN 0033-569X
Roč. 68, č. 4 (2010), s. 713-746Poč.str. 34 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova collapse ; limit analysis ; minimum energy Vědní obor RIV BA - Obecná matematika CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000285315500006 EID SCOPUS 78650084074 DOI 10.1090/S0033-569X-2010-01182-2 Anotace Thepaper presents a limit analysis for normal materials based on energy minimization. The class of normal materials includes no-tension materials. Considering loads that depend affinely on the loading multiplier we examine the infimum of the potential energy over the set of all admissible displacements. The set of all loading multipliers for which the infimum energy is greater than minus infinity is an interval. Each finite indpoint is called a collapse multiplier. We examine the validity of the static and kinematic theorems of limit analysis. We show that the static theorem holds unconditionally while the kinematic theorem holds for Hencky plastic materials; for no-tension materials it generally does not hold. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
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