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The Basic Equations of the Linear Theory of Thermoelasticity

  • Ian N. Sneddon
Part of the International Centre for Mechanical Sciences book series (CISM, volume 119)

Abstract

The theory of thermoelasticity is concerned with the effect which the temperature field in an elastic solid has upon the stress field in that solid and with the associated effect which a stress field has upon thermal conditions in the solid. In the “classical” theory attention is restricted to perfectly elastic solids undergoing infinitesimal strains and infinitesimal fluctuations in temperature. It turns out that these assumptions are sufficiently strong to justify a purely thermodynamic derivation of the form of the equation of state of an elastic solid. The resulting equations are linear only if the range of fluctuation of temperature is such that the variation with temperature of the mechanical and thermal constants of the solid may be neglected.

Keywords

Variational Principle Strain Tensor Isothermal Compressibility Partial Differential Equa Thermodynamic Relation 
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 1972

Authors and Affiliations

  • Ian N. Sneddon
    • 1
  1. 1.University of GlasgowUK

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