Materials Science

, Volume 41, Issue 1, pp 74–81 | Cite as

Equations of the Dynamic Problem of Thermoelasticity in Stresses in a Three-Orthogonal Coordinate System

  • R. S. Musii
  • H. B. Stasyuk
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Abstract

By using the system of source equations including the equations of motion, Cauchy relations, generalized Hooke’s law, and Saint-Venant compatibility equations for strains, we deduce the system of defining equations for the dynamic problem of thermoelasticity in stresses in an arbitrary three-orthogonal curvilinear coordinate system. This system is reduced to a system of successively coupled wave equations in which the equation for the first invariant of the stress tensor is independent. The initial conditions are presented for the resolving functions.

Keywords

Coordinate System Structural Material Wave Equation Stress Tensor Dynamic Problem 
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 Science+Business Media, Inc. 2005

Authors and Affiliations

  • R. S. Musii
    • 1
  • H. B. Stasyuk
    • 1
  1. 1.“L’vivs’ka Politekhnika” National UniversityLvivUkraine

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