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


We now collect all the results of Chap. XII that are pertinent to elasticity. p(z,t) is the position of material point z of body B at time t. We define
$$F \equiv Pz,C \equiv F* \cdot F.$$
The classical form of the balance of linear momentum is
$$\nabla \cdot T* + f = \rho Ptt$$
where T is the first Piola-Kirchhoff stress tensor, f is the prescribed body force intensity per unit reference volume, and ρ is the mass density per unit reference volume.


Phase Portrait Hyperelastic Material Constitutive Function Strong Ellipticity Universal Deformation 
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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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