The Basic Equations of the Linear Theory of Thermoelasticity
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.
KeywordsVariational Principle Strain Tensor Isothermal Compressibility Partial Differential Equa Thermodynamic Relation
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