<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

On hyperbolic contact problems

Department of Mathematics FEI STU Ilkovičova 3 SK–812-19 Bratislava SLOVAKIA

Mathematical Institute Czech Academy of Sciences Žitná 25 CZ–115-67 Praha 1 CZECH REPUBLIC

Tatra Mountains Mathematical Publications

{"article-title":"On hyperbolic contact problems"}

We deal with hyperbolic variational inequalities modeling vibrations of two-dimensional structures with an obstacle. We focus on the plates with moderately...

On hyperbolic contact problems

Online veröffentlicht: 12. Nov. 2012

Seitenbereich: 25 - 40

DOI: https://doi.org/10.2478/v10127-009-0022-9

Schlüsselwörter
hyperbolic von K´arm´an system, variational inequality, elastic plate, penalization

This content is open access.

On hyperbolic contact problems

Online veröffentlicht: 12. Nov. 2012

Seitenbereich: 25 - 40

DOI: https://doi.org/10.2478/v10127-009-0022-9

Schlüsselwörterhyperbolic von K´arm´an system, variational inequality, elastic plate, penalization

This content is open access.

Schlüsselwörter
hyperbolic von K´arm´an system, variational inequality, elastic plate, penalization