An Elastic Membrane With an Attached Non-Linear Thermoelastic Rod

• Autorzy: Horn W. , Sokołowski J.
• Języki publikacji: EN

Abstrakty

EN

We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain W is subset R2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence of a unique global weak solution to this problem using a fixed point argument.

Słowa kluczowe

EN

elastic membrane; thermoelastic materials; nonlinear partial differential equations

PL

membrana elastyczna; materiał termoelastyczny; równanie różniczkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 4
• Strony: 479--486
• Opis fizyczny: Bibliogr. 17 poz., rys.

Twórcy

autor

Horn W.

• Mathematics Department, California State University, Northridge, CA 91330-8313, USA

autor

Sokołowski J.

• Institut Elie Cartan, Université Henri Poincaré Nancy I, B. P. 239, 54506 Vandoeuvre les Nancy Cedex, France

Bibliografia

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