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Inequalities for Isotropic Materials

  • C. Truesdell

Abstract

As mentioned several times already, it is customary to impose a priori restrictions on the linear elasticity L in the stress relation (14.14) of the classical infinitesimal theory. These are, first, that
$$L = L^T ,$$
(16.1)
reducing the maximum number of independent components of L from 36 to 21, and that
$$tr\left( {L\left[ {\mathop E\limits_ \sim ^ \sim } \right]\mathop E\limits_ \sim ^ \sim } \right) > 0if\mathop E\limits_ \sim ^ \sim \ne \mathop 0\limits_ \sim .$$
(16.2)

Keywords

Isotropic Material Stress Relation Principal Stretch Isotropic Elastic Material Infinitesimal 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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Copyright information

© Springer-Verlag New York Inc. 1966

Authors and Affiliations

  • C. Truesdell
    • 1
  1. 1.The Johns Hopkins UniversityUSA

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