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Inverse Problems for Identification of Memory Kernels in Viscoelasticity

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

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
329 KB
Volume
20
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

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 applied. In this way global existence of a solution to the inverse problem is proved and stability estimates for it are derived. 1997

๐Ÿ“œ SIMILAR VOLUMES

Inverse problems for identification of m
Inverse problems for identification of memory kernels in thermo- and poro-viscoelasticity
โœ J. Janno; L. Von Wolfersdorf ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 180 KB

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 no