On dynamic modeling of piezomagnetic/flexomagnetic microstructures based on Lord–Shulman thermoelastic model

Abstract We study a time-dependent thermoelastic coupling within free vibrations of piezomagnetic (PM) microbeams considering the flexomagnetic (FM) phenomenon. The flexomagneticity relates to magnetic field with gradient strains. Here, we use generalized thermoelasticity theory Lord–Shulman analyze interaction between elastic deformation and thermal conductivity. uniform is permeated in line transverse axis. Using strain approach, beam yields microstructural properties. analytical solving process has been gotten via applying sine Fourier technique on displacements. Graphical illustrations are assigned shape numerical examples concerning variations essential physical quantities. It was observed that effect could be extraordinary if conductivity material higher or relaxation time heat source lesser. This theoretical will provide way starting studies magneto-thermoelastic small-scale piezo-flexomagnetic structures based conduction models.