Flexomagnetic effects on inhomogeneously strained multiferroics composites

•The magneto-mechanical coupling deforms the geometry of multiferroic composites.•The lattice parameter and phonon modes have significantly responded to inhomogeneous strain gradient.•Under inhomogeneous strain, charges/magnetic moments retaliated to the flexomagnetic/electric phenomena.•This work provides a direct way to observe the flexomagnetic effect.