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Relativistic Theories of Materials

  • Book
  • © 1978

Overview

Authors:
  1. Aldo Bressan

    1. Institute of Analysis and Mechanics, University of Padua, Italy

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Part of the book series: Springer Tracts in Natural Philosophy (STPHI, volume 29)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Introduction

    1. Introduction

      • Aldo Bressan
      Pages 1-31

  3. Basic Equations of Gravitation, Thermodynamics and Electromagnetism and Constitutive Equations from the Eulerian Point of View

    1. Front Matter

      Pages 33-33
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    2. Space-Time Kinematics Including Masses

      • Aldo Bressan
      Pages 35-59

    3. Gravitation and Conservation Equations. Fluids and Elastic Waves

      • Aldo Bressan
      Pages 60-89

    4. Electromagnetism from the Eulerian Point of View. Polarizable Fluids

      • Aldo Bressan
      Pages 90-117

    5. On Media Capable of Electromagnetic Phenomena from the Eulerian Point of View. Magneto-Elastic Waves in Ideal Conductors

      • Aldo Bressan
      Pages 118-134

  5. Back Matter

    Pages 258-292
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Keywords

About this book

The theory of relativity was created in 1905 to solve a problem concerning electromagnetic fields. That solution was reached by means of profound changes in fundamental concepts and ideas that considerably affected the whole of physics. Moreover, when Einstein took gravitation into account, he was forced to develop radical changes also in our space-time concepts (1916). Relativistic works on heat, thermodynamics, and elasticity appeared as early as 1911. However, general theories having a thermodynamic basis, including heat conduction and constitutive equations, did not appear in general relativity until about 1955 for fluids and appeared only after 1960 for elastic or more general finitely deformed materials. These theories dealt with materials with memory, and in this connection some relativistic versions of the principle of material indifference were considered. Even more recently, relativistic theories incorporating finite deformations for polarizable and magnetizable materials and those in which couple stresses are considered have been formulated. A broader description of the development of these relativistic topics is contained in § 13. The purpose of this book is to describe the foundations of the general relativistic theories that include constitutive equations, and to present some applications, mainly to elastic waves, of these theories. This tract is divided into two parts. In the first part only the Eulerian point of view is considered; basic equations of general relativity, other than constitutive equations, are stated in full generality (except for couple stresses which are considered in part 2). Part 1 also thoroughly covers fluids, including constitutive equations.

Authors and Affiliations

  • Institute of Analysis and Mechanics, University of Padua, Italy

    Aldo Bressan

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