Geomechanics and Engineering A

Volume 42, Number 6, 2025, pages 475-487

DOI: 10.12989/gae.2025.42.6.475

Dynamic analysis of nonlocal thermoelastic diffusive solids under ramp-type thermal sources

Belay Fikadu Gerba, Parveen Lata and Satya Bir Singh

Abstract

This study investigates the dynamic behavior of nonlocal thermoelastic solid with diffusion subjected to Ramp type thermal source, with a focus on the influence of nonlocal parameter on the material. To examine this we consider nonlocal thermoelastic solid with diffusion. The governing equations are solved using Integral transforms to analyze the nonlocal parameter response of the thermoelastic solids with diffusion. Our findings show that change in nonlocal parameter resulted in the variations of normal stress, shear stress, mass concentration and temperature. The study highlights the importance of nonlocality in determining the stress, temperature and concentration fields in nonlocal thermoelastic- diffusive solids due to ramp type heat. The results provide valuable insights for applications in advanced materials science, micro- and nano-scale engineering, and dynamic load analysis, where understanding the coupled effects of nonlocality, thermoelasticity, and diffusion is essential.

Key Words

angular ferequency; fourier transformation; nonlocal; stress; thermoelastic; thermomechanical

Address

Belay Fikadu Gerba, Parveen Lata and Satya Bir Singh: Department of Mathematics, Punjabi University, Patiala, 147002, India