... is to refine the representation of delayed and spatially distributed heat transfer in microscale materials. Design/methodology/approach A modified single-phase-lag (SPL) model is employed, incorporating rMDD operators and nonlocal elasticity. Analytical solutions are derived using Laplace transforms...

... interaction in an isotropic semi-infinite medium. The current model has been connected to generalize two-dimensional (2D) thermoelasticity problem. The governing equations are shown in vector matrix form of differential equation concerning Laplace-transformed domain and solved by using the eigenvalue...

... assumption and the Laplace transform technique. The lateral deflection, temperature change, displacement component, axial stress and thermal moment of the beam are obtained by ramp type heating in the transformed domain. A general algorithm of the inverse Laplace transform is developed to recover the results...

... phase lag Isotropic thermoelastic Laplace transform Hankel transform Plane axisymmetric Diffusion Classical Fourier heat conduction law implies an infinitely fast propagation of a thermal signal which is violated in ultra-fast heat conduction system due to its very small dimensions...