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A Geometric Approach to Thermomechanics of Dissipating Continua /

This monograph focuses on the modeling of continua that exhibit the property of singularities in fields. A rational theory of continuum thermomechanics that takes into account the existence and distribution of scalar and vector discontinuities is presented. Guiding the work is the notion that discon...

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Bibliographic Details
Main Author: Rakotomanana, L. R.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2004.
Series:Progress in mathematical physics ; 31.
Subjects:
Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction
  • 2. Geometry and Kinematics
  • 3. Conservation Laws
  • 4. Continuum with Singularity
  • 5. Thermo-Viscous Fluids
  • 6. Thermo- Viscous Solids
  • 7. Solids with Dry Micro-Cracks
  • 8. Conclusion
  • App. A. Mathematical Preliminaries
  • App. B. Invariance Group and Physical Laws
  • App. C Affinely Connected Manifolds
  • App. D Bianchi's identities
  • App. E Theorem of Cauchy-Weyl
  • References
  • Index.