In this article, the influence of thermal conductivity on dynamics a rotating nanobeam is established in context nonlocal thermoelasticity theory. To end, governing equations are derived using generalized heat conduction including phase lags basis Euler–Bernoulli beam The proposed model linearly changes with temperature and considered excited variable harmonic source exposed to time-dependent l...

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 problem of fully coupled thermoelasticity in a composite half-space is considered where the composite has variations in its physical properties in one direction only. The resulting one dimensional problem thus depends on the so called microscale of the composite. Homogenization of the fully coupled theory provides the leading order system of coupled equations (independent of the microscale)...