On the representation of solutions for the theory of generalized thermoelasticity with three phase-lags. (English) Zbl 1397.74055
Summary: The aim of the present work is to derive the representation of a Galerkin-type solution in the linear theory of generalized thermoelasticity with three phase-lags, recently developed by S. K. Roy Choudhuri [J. Therm. Stresses 30, 231–238 (2007)]. Firstly, the representation of a Galerkin-type solution of equations of motion is obtained in the form of a theorem. Then, the representation theorem of a Galerkin-type system of equations of steady oscillations is established. Finally, the general solution of the system of homogeneous equations of steady oscillation is also presented based on our theorem.
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74B05 | Classical linear elasticity |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
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