摘要： The paper presents a theoretical model for magnetoelectric (ME) effect in multilayers of piezoelectric and magnetostrictive components. We assume the piezoelectric layer to be compositionally-stepped. Taking into account the toxicity of lead-based ceramic, piezoelectric component is made of a lead-free piezoelectric. Analytical expressions for ME voltage coefficients is obtained by substituting the expression for stress at bending mode into open electric circuit condition. Using the layered structure based on the compositionally-stepped piezoelectric components leads to an enhanced magnetoelectric coupling for specific component thickness ratio due to an increase in flexural deformation as compared with the bilayer based on homogeneous piezoelectric layer. For the laminate of lead-free piezoelectric langatate bimorph and magnetostrictive Permendur, ME coupling is stronger due to higher ratio of the piezoelectric coupling coefficient to the dielectric constant. In addition, an 80 % increase in magnetoelectric coupling strength due using the compositionally-stepped piezoelectric is obtained.