• Boris F. ShorrEmail author
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


This chapter contains the foundations of the theory of thermoelasticity required for its implementation for calculating strength of structural members as well as for studying the following chapters of the monograph. It is demonstrated that thermoelastic deformations are independent of loading and heating sequence and are always reversible, including the case of temperature-dependent elasticity moduli and simultaneously varying temperatures and stresses. The “dynamic” elasticity moduli evaluating from measured resonance frequencies are more informative than the “static” ones originating from deformation diagrams and depending on loading rate. The governing equations in the theory of thermoelasticity for steady-state and transient non-uniform temperature fields are presented. Formation of temperature stresses in both statically determinate and indeterminate structures is described. Efficient methods for solving non-isothermal boundary value problems with temperature-dependent elasticity moduli are analyzed. The energy principles in the theory of elasticity usually underlying the FEM algorithms and specific features of the variational equations in thermoelasticity are subject to detailed discussion.


Thermal Expansion Internal Force Total Work Total Potential Energy Temperature Expansion 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Central Institute of Aviation Motors (CIAM)MoskvaRussia

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