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On the general theory of thermo-elastic friction

✍ Scribed by Alblas, J. B.

Book ID
104763377
Publisher
Springer
Year
1961
Tongue
English
Weight
448 KB
Volume
10
Category
Article
ISSN
0003-6994

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✦ Synopsis

A theory of the thermo-elastic dissipation in vibrating bodies is developed, starting from the three-dimensional thermo-elastic equatiollS. After a discussion of the basic therlliodynamieal foundations, some general considerations on the problem of the conversion of meehanical energy into heat are given. The solution of the coup]ed thermo-elastie equations is found in the form of series expansions in terms of normalised orthogonal eigenfmletions. For the coefficients an infinite system of algebraic equations with constants, whieh are complicated field integrals, is derived. An approximate solution of the infinite system is given. In some cases the couplingconstants can be calculated exactly, in other cases they have to be determilled on the base Of approximate theories.

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A general model of the equations of generalized thermo-microstretch for a homogeneous isotropic elastic half space is given. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman and Green-Lindsay theories, as well as the classical dynamical coupled theory. The normal