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Mathematical Problems in Linear Viscoelasticity

Mathematical Problems in Linear Viscoelasticity


Part of Studies in Applied and Numerical Mathematics

  • Date Published: March 1992
  • availability: Available in limited markets only
  • format: Hardback
  • isbn: 9780898712667

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About the Authors
  • 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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    Product details

    • Date Published: March 1992
    • format: Hardback
    • isbn: 9780898712667
    • length: 213 pages
    • dimensions: 235 x 163 x 20 mm
    • weight: 0.522kg
    • availability: Available in limited markets only
  • Table of Contents

    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

  • Authors

    Mauro Fabrizio

    Angelo Morro

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