Počet záznamů: 1

An energetic view on the limit analysis of normal bodies

  1. 1.
    0351153 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Lucchesi, M. - Padovani, C. - Šilhavý, Miroslav
    An energetic view on the limit analysis of normal bodies.
    Quarterly of Applied Mathematics. Roč. 68, č. 4 (2010), s. 713-746 ISSN 0033-569X
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: collapse * limit analysis * minimum energy
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.697, rok: 2010
    http://www.ams.org/journals/qam/2010-68-04/S0033-569X-2010-01182-2/

    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.
    Trvalý link: http://hdl.handle.net/11104/0190963
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