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The Elements of Continuum Mechanics

Lectures given in August - September 1965 for the Department of Mechanical and Aerospace Engineering Syracuse University Syracuse, New York

  • Book
  • © 1966

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Authors:
  1. C. Truesdell

    1. The Johns Hopkins University, USA

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Table of contents (30 chapters)

  1. Front Matter

    Pages i-v
    Download chapter PDF

  2. General Principles

    1. Bodies and Motions

      • C. Truesdell
      Pages 1-16

    2. Kinematics. Changes of Frame

      • C. Truesdell
      Pages 17-25

    3. Forces, Constitutive Equations, Simple Materials

      • C. Truesdell
      Pages 26-38

    4. Reduced Constitutive Equations. Internal Constraints

      • C. Truesdell
      Pages 39-46

    5. Homogeneous Motions of Simple Bodies

      • C. Truesdell
      Pages 47-55

    6. The Isotropy Group. Solids, Isotropic Materials, Fluids, Fluid Crystals

      • C. Truesdell
      Pages 56-64

    7. Motions with Constant Stretch History

      • C. Truesdell
      Pages 65-72

  4. Elastic Materials

    1. Elastic Materials

      • C. Truesdell
      Pages 98-109

    2. Normal Tractions in Simple Shear of Isotropic Bodies

      • C. Truesdell
      Pages 110-116

    3. Some Non-Homogeneous Deformations of Isotropic Incompressible Bodies

      • C. Truesdell
      Pages 117-128

    4. Infinitesimal Deformation

      • C. Truesdell
      Pages 129-136

    5. Iterative Solution of the Boundary-Value Problem of Traction

      • C. Truesdell
      Pages 137-145

    6. Inequalities for Isotropic Materials

      • C. Truesdell
      Pages 146-154

    7. A General Inequality

      • C. Truesdell
      Pages 155-160

    8. Wave Propagation

      • C. Truesdell
      Pages 161-173

    9. Infinitesimal Stability and Uniqueness

      • C. Truesdell
      Pages 174-181
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Keywords

About this book

The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi­ neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.

Authors and Affiliations

  • The Johns Hopkins University, USA

    C. Truesdell

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