Magneto-elasto-dynamic analysis of an elastically confined conducting nanowire due to an axial magnetic shock

► Magneto-elasto-dynamic analysis of a solid conducting nanowire is of concern. ► Using Maxwellʼs and Cauchyʼs equations, a mathematical model is developed. ► The equation of motion of the nanowire is derived by employing Eringenʼs theory. ► An analytical method and a semi-analytical scheme are proposed for solving the BVP. ► The role of crucial parameters on the maximum dynamic elastic fields is discussed.