Unified thermo-viscoelastic framework for laser-irradiated polymeric nano-spherical shells: size-dependent MGT heat conduction with magnetic and temperature-dependent effects
摘要
The dynamic response of laser-irradiated polymer nano-spherical shells subjected to thermal shock is examined through a unified nonlocal Moore–Gibson–Thompson (MGT) thermoelastic framework. The principal novelty of this work lies in the unprecedented integration of Eringen’s nonlocal elasticity, memory-driven viscoelasticity, and MGT non-Fourier heat conduction within a spherical coupled-field configuration, an integration that captures the simultaneous effects of size-dependent stiffness, finite-speed thermal waves, and intrinsic material damping. The governing equations, which incorporate temperature-dependent thermal conductivity and transverse magnetic field effects, are solved analytically using Laplace and Kirchhoff transformations, yielding closed-form solutions in terms of modified spherical Bessel functions. Beyond resolving the paradox of infinite thermal propagation speed inherent in classical thermoelasticity, the present analysis reveals a novel coupled damping mechanism arising from the synergistic interaction between MGT thermal relaxation and spatial nonlocality. Quantitative parametric analyses demonstrate that this coupling profoundly attenuates the thermomechanical fields: increasing the nonlocal parameter from 0.00 to 0.16 induces a 41.7% reduction in peak radial stress, a 42.5% reduction in peak hoop stress, and a 36.4% contraction in thermal penetration depth. Fast viscoelastic relaxation further diminishes peak hoop stress by 27.1% and localizes thermal expansion near the heated boundary. The applied magnetic field introduces a measurable stiffening effect, offering a non-contact means of tuning structural stability. These findings provide critical, quantitative design guidelines for polymer nano-spherical shells in high-precision applications, including laser-fabricated MEMS and NEMS resonators, photothermal drug-delivery microcapsules, and magnetically responsive smart sensors operating under extreme ultrafast thermal conditions.