Thermo-mechanical interactions in a nonlocal transversely isotropic material with rotation under Lord-Shulman model

• Published in: Waves in random and complex media Vol. 34; no. 5; pp. 3970 - 3994
• Main Authors: Sheoran, Sandeep Singh, Chaudhary, Shilpa, Deswal, Sunita
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 02.09.2024
• Subjects: Lord-Shulman model; mechanical load; nonlocal thermoelasticity; normal mode analysis; rotation; transversely isotropic
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2021.1986648

The objective of this manuscript is to examine the thermodynamical disturbances in a rotating nonlocal transversely isotropic thermoelastic solid half-space. The enunciation is applied to Lord-Shulman model of generalized thermoelasticity with Eringen's nonlocal elasticity theory. The formulation is subjected to a mechanical load. The expressions for the displacement components, stresses and temperature field are obtained by using normal mode technique and the numerical computations have been carried out with the help of MATLAB software for zinc crystal-like material. The comparisons are made among the results obtained by taking into account the different values of rotation parameter $ (\Omega =0.0, 0.1, 0.3) $ ( Ω = 0.0 , 0.1 , 0.3 ) , nonlocal parameter $ (\varepsilon =0.195\times 10^{-9}, 0.195\times 10^{-4}, $ ( ε = 0.195 × 10 − 9 , 0.195 × 10 − 4 , $ 0.195\times 10^{-1}) $ 0.195 × 10 − 1 ) and time $ (t=0.1, 0.3, 0.5) $ ( t = 0.1 , 0.3 , 0.5 ) . The outcomes point out a strong impact of the rotation, nonlocality and time on the physical quantities and agree with the boundary conditions. Although various studies exist in the literature for local and isotropic thermoelastic medium, but the current results are presented in an anisotropic and nonlocal thermoelastic rotating medium, which have not been studied so far.