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Couple-Stresses in the Theory of Thermoelasticity

  • W. Nowacki
Part of the IUTAM Symposia book series (IUTAM)

Summary

The aim of the present paper is to generalize some theorems on the coupled thermoelasticity of a medium characterized by two vectors independent from each other: the displacement vector u and the rotation vector ω.

Basing on the thermodynamics of irreversible processes the constitutive equations and the expanded equation of heat conductivity for an isotropic medium are derived.

The author succeeded in obtaining a basic system of differential equations of coupled thermoelasticity. The propagation of thermoelastic waves in an unbounded medium is discussed.

Moreover, a generalization of the virtual work principle to dynamic problem of coupled thermoelasticity is advanced.

Finally, the reciprocity theorem is derived and some conclusions resulting from this theorem are discussed.

Keywords

Laplace Transformation Rotation Vector Homogeneous Boundary Condition Infinite Medium Virtual Work Principle 
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/Wien 1968

Authors and Affiliations

  • W. Nowacki
    • 1
  1. 1.WarsawPoland

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