Mathematical Problems in Linear Viscoelasticity (Studies in Applied and Numerical Mathematics No. 12)

Mathematical Problems in Linear Viscoelasticity (Studies in Applied and Numerical Mathematics No. 12)

By: Angelo Morro (author), Mauro Fabrizio (author)Hardback

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Description

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.

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Contents

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.

Product Details

  • publication date: 01/01/1987
  • ISBN13: 9780898712667
  • Format: Hardback
  • Number Of Pages: 213
  • ID: 9780898712667
  • weight: 522
  • ISBN10: 0898712661

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