Three-Dimensional Continuum Mechanics

  • Stuart S. Antman
Part of the Applied Mathematical Sciences book series (AMS, volume 107)


In this chapter we present a formulation of continuum mechanics directed toward the treatment of the behavior of solids. It is based on the material (or Lagrangian) description of motion. Virtually all the problems we treat will be cast in this formulation. At the conclusion of the chapter, we describe the modifications needed for the spatial (or Eulerian) formulation, which is essential for fluid mechanics and which has been used in solid mechanics. References for standard material of this chapter expressed in a related style are Chadwick (1976), Gurtin (1981a), and Truesdell & Noll (1965). The last work has extensive historical notes. References for specialized topics in this chapter are given in the individual sections.


Constitutive Equation Material Point Rigid Motion Reference Configuration Entropy Inequality 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Stuart S. Antman
    • 1
  1. 1.Department of Mathematics and Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA

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