Number of the records: 1
An energetic view on the limit analysis of normal bodies
- 1.
SYSNO ASEP 0351153 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title An energetic view on the limit analysis of normal bodies Author(s) Lucchesi, M. (IT)
Padovani, C. (IT)
Šilhavý, Miroslav (MU-W) RID, SAI, ORCIDSource Title Quarterly of Applied Mathematics - ISSN 0033-569X
Roč. 68, č. 4 (2010), s. 713-746Number of pages 34 s. Language eng - English Country US - United States Keywords collapse ; limit analysis ; minimum energy Subject RIV BA - General Mathematics CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000285315500006 EID SCOPUS 78650084074 DOI 10.1090/S0033-569X-2010-01182-2 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
Number of the records: 1