Magneto–thermo–elastic fields caused by an unsteady longitudinal magnetic field in a conducting nanowire accounting for eddy-current loss

Nanowires are synthesized nanostructures with high levels of length-to-width ratio which are expected to have a wide range of applications in diverse fields of engineering and medicine; however, little is known about their dynamic response due to magnetic fields. Herein, magneto–thermo–elasto-dynamic analysis of a conducting nanowire is performed in the context of nonlocal continuum theory. A circular cylindrical solid nanowire subjected to an axisymmetric longitudinal transient magnetic field is considered. The equations of the magnetic, thermal, and elastic fields within the nanowire with their appropriate initial and boundary conditions are developed. The effect of eddy-current loss is also incorporated into the governing equations of the proposed model. The boundary value problem pertinent to each unknown field is solved analytically, and the nonlocal dynamic elastic fields within the nanowire are obtained. A comprehensive parametric study is conducted to determine the effects of the crucial factors on the maximum values of dynamic radial displacement as well as nonlocal stresses of the nanowire. The obtained results reveal that the eddy-current loss plays a crucial role in dynamic elastic fields within the nanowire, particularly for low initial duration of the applied magnetic field as well as low levels of the insulation of the nanowire's surface.

► Magneto–thermo–elasto–dynamic fields of a lengthy conducting nanowire are examined.
► The effect of eddy-current loss is incorporated into the governing equations.
► Based on theories of Maxwell and nonlocal thermoelasticity, a model is proposed.
► Analytical expressions of elastic fields within the solid nanowire are obtained.
► The role of crucial factors on maximum elastic fields of the nanowire is addressed.