Elastic topological interface states induced by incident angle

•A method for tuning topological interface states in a 1D elastic wave system by the incident angle is proposed.•Multiple topological interface states of SH modes are obtained in a wide incident angle region.•For P-SV coupled modes, the topological interface states can exist in both partial-polarization and omni-polarization bandgaps when the band inversion process happening on the Brillouin zone boundary or center.•As the band crossing happens within the Brillouin zone, the topological properties of bulk bands will not change.