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Inverse problems for identification of memory kernels in thermo- and poro-viscoelasticity

โœ Scribed by J. Janno; L. Von Wolfersdorf

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
180 KB
Volume
21
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Inverse problems for identification of the four memory kernels in one-dimensional linear thermoviscoelasticity are reduced to a system of non-linear Volterra integral equations using Fourier's method for solving the direct problem. To this system of equations the contraction principle in weighted norms is applied. In this way global in time existence of a solution to the inverse problems is proved and stability estimates for it are derived. In analogous way inverse problems for the memory kernels in linear poroviscoelasticity can be handled.

๐Ÿ“œ SIMILAR VOLUMES

Inverse Problems for Identification of M
Inverse Problems for Identification of Memory Kernels in Viscoelasticity
โœ J. Janno; L. Von Wolfersdorf ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 329 KB

Inverse problems for identification of the memory kernel in the linear constitutive stress-strain relation of Boltzmann type are reduced to a non-linear Volterra integral equation using Fourier's method for solving the direct problem. To this equation the contraction principle in weighted norms is a