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
The classical form of the balance of linear momentum is
$$F \equiv Pz,C \equiv F* \cdot F.$$
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.
$$\nabla \cdot T* + f = \rho Ptt$$
KeywordsPhase Portrait Hyperelastic Material Constitutive Function Strong Ellipticity Universal Deformation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1995