Fractional order generalized thermoelastic study in orthotropic medium of type GN-III

Parveen Lata , Himanshi Zakhmi

Abstract

The present paper is concerned with the investigation of disturbances in orthotropic thermoelastic medium by using fractional order heat conduction equation with three phase lags due to thermomechanical sources. Laplace and Fourier transform techniques are used to solve the problem. The expressions for displacement components, stress components and temperature change are derived in transformed domain and further in physical domain using numerical inversion techniques. The effect of fractional parameter based on its conductivity i.e., (0 < alpha

Key Words

orthotropic medium; fractional calculus; Laplace transform; Fourier transform; concentrated load; linearly and uniformly distributed loads

Address

Parveen Lata and Himanshi Zakhmi: Department of Basic and Applied Sciences, Punjabi University Patiala, Punjab, India

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