Continuum Mechanics and Thermodynamics

, Volume 30, Issue 2, pp 291–300 | Cite as

General stability of memory-type thermoelastic Timoshenko beam acting on shear force

Original Article
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Abstract

In this paper, we consider a linear thermoelastic Timoshenko system with memory effects where the thermoelastic coupling is acting on shear force under Neumann–Dirichlet–Dirichlet boundary conditions. The same system with fully Dirichlet boundary conditions was considered by Messaoudi and Fareh (Nonlinear Anal TMA 74(18):6895–6906, 2011, Acta Math Sci 33(1):23–40, 2013), but they obtained a general stability result which depends on the speeds of wave propagation. In our case, we obtained a general stability result irrespective of the wave speeds of the system.

Keywords

Timoshenko Linear thermoelasticity General decay Relaxation function 

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Notes

Acknowledgements

The author thanks UoHB for its continuous support and the referees for their valuable suggestions and remarks.

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© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Mathematics DepartmentUniversity of Hafr Al-Batin (UoHB)Hafr Al-BatinSaudi Arabia

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