A uniform Laser Pulse for a Solid Cylinder by using different theories of magneto thermo elasticity | ||||
| Arab Journal of Nuclear Sciences and Applications | ||||
| Article 12, Volume 52, Issue 1, January 2019, Page 121-130 PDF (614.7 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/ajnsa.2018.2043.1062 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
shaaban khader  1; mona khedr2
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| 11 Department of Mathematical and Theoretical Physics Atomic Energy Authority, EGYPT | ||||
| 2Department of Physics, Faculty of Science University of Alexandria, EGYPT | ||||
| Abstract | ||||
| This work is concerned with the study of vibrations induced by a laser beam in the context of different theories of magneto thermoelasticity, coupled thermoelasticity (CTE), thermoelasticity with one relaxation time (L-S) and thermoelasticity without energy dissipation (G-L), of an infinitely long solid conducting circular cylinder. The surface of the cylinder is assumed to be traction free. The temporal profile of the laser beam is considered as non-Gaussian. The cylinder is considered to be made of an isotropic homogeneous thermoelastic material put in a uniform magnetic field in the direction of the axis. This produces an induced magnetic field and an induced electric field. Laplace transform techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using a numerical method based on Fourier series expansions. The temperature, displacement, stresses, induced magnetic field and induced electric field are calculated numerically then represent the result by graphs. | ||||
| Keywords | ||||
| Magneto Thermoelasticity; Coupled Thermoelasticity; Generalized Thermoelasticity; Non-Gaussian Laser Pulse | ||||
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