A new two-temperature generalized magneto-thermoelastic 2D problems considering non-local effect and memory-dependent effect

Abstract

Based on the two temperature generalized thermoelastic memory related differential theory, the nonlocal parametric thermal shock response of isotropic, uniform and fully conductive semi-infinite magneto-thermoelastic media is studied. The boundary of the medium is free and subjected to thermal shock varying with time. The governing equations are solved by Laplace transform, Fourier transform and inverse transform, and the dimensionless distribution laws of temperature, displacement and stress in semi-infinite volume are obtained. The results show that the peak value of each dimensionless physical quantity decreases with the increase of time delay factor. In addition, the change of nonlocal factor also has a significant impact on the peak value of each physical quantity.

KEYWORDS:

• Non-local effects
• magnetothermal elasticity
• two-temperature (2 T)
• memory-dependent differentiation (MDD)
• Laplace-Fourier (L-F) transform

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [Grant Nos. 12062011 and 11972176].