In the present paper, a 2D model of nanopatterned bimaterial interface is considered. It is assumed that the interface elastic properties are different from those of the bulk materials. Interface domain represented as a negligibly thin layer adhering to the bulk phases without slipping. We use thermodynamic as well as surface and bulk elasticity equations, Goursat-Kolosov complex potentials, Muschelishvili representation and first-order approximation of boundary perturbation technique to solve the problem. An evolution equation is derived that gives the amplitude change of sinusoidal relief as a function of time, undulation wavelength, applied mechanical loading, interface and bulk elastic constants.