Effect of frequency and nonlocal parameter in nonlocal isotropic thermoelastic diffusive solid due to inclined load

Parveen Lata , Belay Fikadu Gerba , Satya Bir Singh

Abstract

This study investigates the dynamic response of a nonlocal thermoelastic solid with diffusion subjected to an inclined load in the frequency domain. The work aims to analyze the combined influence of nonlocal effects and excitation frequency on the coupled thermoelastic diffusive behavior of the medium, which is important for the accurate modeling of micro- and nano-scale structures. The originality of the study lies in incorporating both nonlocal elasticity and mass diffusion effects under an inclined loading condition within a frequency domain framework. The governing equations are transformed using the time-harmonic approach and Fourier transform technique, leading to analytical expressions for displacement, stress, temperature change, and mass concentration in the transformed domain. Numerical inversion is subsequently employed to obtain the physical-domain solutions. The results reveal that both the nonlocal parameter and angular frequency significantly influence the distributions of mechanical, thermal, and diffusive fields. The presented model provides a useful theoretical framework for understanding coupled thermoelastic diffusive processes in advanced materials and nano-engineered structures.

Key Words

angular frequency; Fourier transformation; inclined load; nonlocal; stress; thermoelasticity

Address

Parveen Lata — Department of Mathematics, Punjabi University, Patiala, 147002, India
Belay Fikadu Gerba — Department of Mathematics, Dambi Dollo University, Oromia, Ethiopia
Satya Bir Singh — Department of Mathematics, Punjabi University, Patiala, 147002, India

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