A dynamic thermal conduction problem needs a mathematical formulation and solution consisting of cylindrical coordinates materials for the application nuclear reactor and/or laser therapeutic when subjected to higher heat fluxes. In this study, dual-phase-lag (DPL) transient non-Fourier in functional graded material is analytically solved under axial flux condition. Functional Graded Material (...

In this article, the author has used fractional calculus to explain the wave nature of heat propagation as well as heat conduction at molecular level with dual phase lag; in this row he proposed dual phase lag heat equation of fractional order. Modified Adomian Decomposition Method and New Iterative Method are applied to obtain the approximate analytical solutions of the proposed model. Numeric...

In this paper, the interaction between holes and electrons in semiconductor media is analyzed based on existing mathematical–physical model. The elasto-thermodiffusion (ETD) theory, according to photothermal (PT) transport processes, has been used study model under impact of non-Gaussian laser pulse. A one-dimensional (1D) electronic/thermoelastic deformation described, detail, by governing fie...

We consider the system of dual-phase-lag thermoelasticity proposed by Chandrasekharaiah and Tzou. First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of third-order in time is well-posed. Then the expontial stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a resuult...

The microstructure of dual phase steels can be considered as a matrix of ferrite phase reinforced by martensite particles. Recent measurements show that the mechanical properties of the ferrite phase are changed with the distance from the martensite grains. In this paper, a new method has been proposed to consider this phenomenon in finite element modeling of dual phase steels microstructure. I...