**Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory**

Department of Mathematics, Kurukshetra University Kurukshetra Kurukshetra, India

E-mail: rajneesh_kuk@rediffmail.com

### Received:

Received: 08 January 2016; revised: 14 April 2016; accepted: 26 April 2016; published online: 31 May 2016

### DOI: 10.12921/cmst.2016.22.02.004

### Abstract:

The present investigation deals with the problem of thermoelastic beam in the modified couple stress theory due to thermal source. The governing equations of motion for the modified couple stress theory and heat conduction equation for coupled thermoelasticity are investigated to model the vibrations in a homogeneous isotropic thin beam in a closed form by applying the Euler Bernoulli beam theory. The Laplace transform technique is used to solve the problem. The lateral deflection, thermal moment, axial stress average due to normal heat flux in the beam are derived and computed numerically. The resulting quantities are depicted graphically for a specific model. A particular case is also introduced.

### Key words:

classical coupled theory, modified couple stress theory, thermoelastic beam

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