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On hyperbolic contact problems
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SYSNO ASEP 0337172 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On hyperbolic contact problems Title Hyperbolické kontaktní úlohy Author(s) Bock, I. (SK)
Jarušek, Jiří (MU-W) RID, ORCID, SAISource Title Tatra Mountains Mathematical Publications. - : Matematický ústav SAV - ISSN 1210-3195
Roč. 43, č. 2 (2009), s. 25-40Number of pages 16 s. Language eng - English Country SK - Slovakia Keywords hyperbolic von Kármán system ; variational inequality ; elastic plate ; penalization Subject RIV BA - General Mathematics R&D Projects IAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000273989100003 Annotation We deal with hyperbolic variational inequalities modeling vibrations of two-dimensional structures with an obstacle. We focus on the plates with moderately large deflections. The nonlinear strain-displacements relations imply nonlinear elliptic parts of differential operators in considered problems. We distinguish two types of problems. In the first case only the deflections are considered with accelerations and the plane displacements are expressed using the Airy stress function. In the case of plane accelerations the full von K´arm´an system consisting of two equations and one variational inequality is considered. The existence of solutions is derived using the penalization method. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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