Mathematical problems in linear viscoelasticity:
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Bibliographic Details
Main Author: Fabrizio, Mauro (Author)
Format: Electronic eBook
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 1992
Series:SIAM studies in applied mathematics 12
Subjects:
Online Access:DE-91
DE-20
DE-706
DE-29
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Item Description:Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
Includes bibliographical references (s. 193-199) and index
Introduction -- Part I: Preliminaries on materials with fading memory -- Part II: Thermodynamics of simple materials -- Part III: Linear viscoelasticity -- Part IV: Existence, uniqueness, and stability -- Part V: Variational formulations and minimum properties -- Part VI: Wave propagation -- Part VII: Unbounded relaxation functions and Rayleigh problem -- Appendix: Precis of the properties of the relaxation function -- References -- Index
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves
Physical Description:1 Online-Ressource (ix, 203 Seiten)
ISBN:0898712661
9780898712667
DOI:10.1137/1.9781611970807

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