Title of article :
A Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources
Author/Authors :
Kumar, R Department of Mathematises - Kurukshetra University - Kurukshetra - Haryana, India , Rani, R Department of Mathematises - Choudhary Devilal University - Sirsa - Haryana, India , Miglani, A Department of Mathematises - Choudhary Devilal University - Sirsa - Haryana, India
Abstract :
In the present manuscript, we investigated a two dimensional
axisymmetric problem of nonlocal micro stretch thermoelastic circular
plate subjected to thermomechanical sources. An eigenvalue approach is
proposed to analyze the problem. Laplace and Hankel transforms are
used to obtain the transformed solutions for the displacements, micro
rotation, micro stretch, temperature distribution and stresses. The results
are obtained in the physical domain by applying the numerical inversion
technique of transforms. The results of the physical quantities have been
obtained numerically and illustrated graphically. The results show the
effect of nonlocal in the cases of Lord Shulman (LS), Green Lindsay
(GL) and Coupled Thermoelasticity (CT) on all the physical quantities.
Keywords :
Nonlocal micro stretch , Thermoelasticity , Laplace , Hankel transforms , Eigenvalue approach , Circular plate
Journal title :
Astroparticle Physics