Thermal buckling of functionally graded piezomagnetic micro- and nanobeams presenting the flexomagnetic effect

Abstract Galerkin weighted residual method (GWRM) is applied and implemented to address the axial stability bifurcation point of a functionally graded piezomagnetic structure containing flexomagneticity in thermal environment. The continuum specimen involves an exponential mass distributed heterogeneous media with constant square cross section. physical neutral plane investigated postulate material (FGM) close reality. Mathematical formulations concern Timoshenko shear deformation theory. Small scale atomic interactions are shaped as maintained by nonlocal strain gradient elasticity approach. Since there no for FGMs, whenever both boundary conditions rotational surface does not match mid-plane, clamp configuration examined only. fourth-order ordinary differential equations will be converted into sets algebraic ones utilizing GWRM whose accuracy was proved before. After that, simply solving achieved polynomial constitutive relation, parametric study can started due various predominant overriding factors. It found that further visible if ferric nanobeam constructed FGM technology. In addition this, deformations also efficacious make FM detectable.