Vol.22, No.3, 2022, pp. 315–318
UDC:

MATHEMATICAL MODEL FOR FRACTIONAL MICROSTRETCH THERMOELASTIC MEDIUM

Arvind Kumar1*, Vikash Ghlawat2, Devinder Singh3*, Khursheed Alam2

1) G.G.S.S.S. Uklana Mandi, Department of Secondary Education, Haryana, INDIA

*email: arvi.math@gmail.com , despathania@yahoo.com

2) School of Basic Sciences and Research, Sharda University, G. Noida, INDIA

3) Department of Mathematics, GNDEC Ludhiana, INDIA

 

Abstract

The present investigation deals with thermal and mechanical interactions in a fractional order microstretch thermoelastic half-space subjected to inclined mechanical forces acting at the boundary of the surface of the half-space. Integral transform technique (Laplace and Fourier transform) has been applied to solve the basic equations mathematically. Mathematical expressions of mechanical stresses coupled tangential stress, microstress, and the temperature distribution are obtained numerically. Some particular results and special cases also have been derived from the present research.

Keywords: microstretch thermoelastic, integral transform, fractional order, inclined forces, thermal stresses

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