... 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...

...) Using Equation (18) in Equations (8)-(11) and after that suppressing the primes and then applying the Laplace transform defined by: (Equation 24) Diffusion is defined as the spontaneous movement of the particles from high concentration region to the low concentration region, it occurs...