On thermal stability of piezo-flexomagnetic microbeams considering different temperature distributions

Abstract By relying on the Euler–Bernoulli beam model and energy variational formula, we indicate critical temperature causes in buckling of piezo-flexomagnetic microscale beams. The corresponding size-dependent approach is underlying as a second strain gradient theory. Small deformations elastic solids are assessed, mathematical discussion linear. Regardless pyromagnetic effects, thermal loading environment varies three states along with thickness, which linear, uniform, parabolic forms. We then establish results by developing consistent shape functions that independently evaluate boundary conditions. Next, analytically develop explore effective properties studied concerning vital factors. It was achieved piezomagnetic-flexomagnetic microbeams more affected while parabolically distributed across particularly when boundaries involve simple supports.