We study the quasi-static behaviour of a linearly viscoelastic body which is subject to boundary forces respectively of elastic type and of viscous type. The ensuing problems exhibit dynamic boundary conditions. We impose on the memory kernel only those restrictions deriving from thermodynamics and, making use of the Fourier transform method, we show existence and uniqueness of the solution to each problem.
Bosello C.A., Gentili G. (1996). Some quasi-static problems with elastic and viscous boundary conditions in linear viscoelasticity. QUARTERLY OF APPLIED MATHEMATICS, 54(4), 687-696 [10.1090/qam/1417232].
Some quasi-static problems with elastic and viscous boundary conditions in linear viscoelasticity
Bosello C. A.;
1996
Abstract
We study the quasi-static behaviour of a linearly viscoelastic body which is subject to boundary forces respectively of elastic type and of viscous type. The ensuing problems exhibit dynamic boundary conditions. We impose on the memory kernel only those restrictions deriving from thermodynamics and, making use of the Fourier transform method, we show existence and uniqueness of the solution to each problem.File in questo prodotto:
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