Inequalities for Isotropic Materials

  • C. Truesdell


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
$$L = L^T ,$$
reducing the maximum number of independent components of L from 36 to 21, and that
$$tr\left( {L\left[ {\mathop E\limits_ \sim ^ \sim } \right]\mathop E\limits_ \sim ^ \sim } \right) > 0if\mathop E\limits_ \sim ^ \sim \ne \mathop 0\limits_ \sim .$$


Isotropic Material Stress Relation Principal Stretch Isotropic Elastic Material Infinitesimal Deformation 
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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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