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This paper explores how reinforcing the hyperbolic heat conduction by the nonlocality affects temperature distribution in nanostructures such as nanobeam and single‐walled carbon nanotubes (SWCNTs). The work dissects the nonlocal heat conduction by advocating a thoroughly new application of the differential quadrature method. The nanobeam is modeled like a SWCNT (cylindrical shell), and the boundaries on the inner and outer sides are considered under a temperature jump at the nanoscale. The effects of several parameters on the temperature distribution through the thickness of the nanobeam are highlighted, including time‐dependent boundary conditions, time lag, nonlocal parameter, length, and radius of the hollow beam.

This paper examines the time-harmonic eigenstrain behavior of a magnetoelastic sandwich cylinder with solid and cellular material layers. A sandwich panel subjected to an external magnetic field is assumed to endure an eigenstrain with a cubic polynomial radial distribution in the sandwich core. Using asymptotic homogenization, the effective material properties of the cellular material are determined as a function of relative density for various cell topologies, that are used in the cellular layers of a cylinder under given magnetic field. Bessel, Struve, and Lommel functions are used to obtain semi-analytic solutions for a sandwich cylinder with perfectly and imperfectly bonded interfaces. The results are first verified with those available in the literature of composite cylinders with solid material layers. Then the paper studies the role that cell topology, relative density, and bonding type at the layer interfaces play on the time-harmonic magnetoelastic responses. The numerical results reveal that the proper choice of relative density, cell topology, and cellular layer configuration can reduce the weight and stress regime, as well as improve the dynamic response of a sandwich cylinder subjected to a given magnetic field.