Thermo-viscoelastic orthotropic constraint cylindrical cavity with variable thermal properties heated by laser pulse via the MGT thermoelasticity model

Abstract In the past few decades, many models have been proposed to address shortcomings found in classical theories of thermoelasticity and allow limited speeds heat waves. this context, current paper a new generalized model based on Moore–Gibson–Thompson (MGT) equation has introduced. This can be derived by introducing relaxation time factor into third type Green–Naghdi (GN-III). contrast previous works, it was taken account that physical properties material are dependent temperature viscous type. The viscoelastic medium assumed obey Kelvin–Voigt model. On basis present model, thermo-viscoelastic interactions investigated an unbounded orthotropic body with cylindrical cavity. surface cavity is restricted exposed pulse-formed flow dissolves exponentially. characteristic thermal modulus linear function temperature. Laplace transform used eliminate dependency from control equations. Using suitable approximate method, transformed equations finally inverted numerical inversion transform. Certain comparisons introduced estimate effects viscosity, pulsed heat, temperature-independent all studied fields. A comparison also performed tables verify accuracy We results fields strongly depend parameter, change conductivity, so not possible neglect their effect manufacturing process machines devices.