Lk. Zarembo et Av. Shanin, NONLINEAR SCATTERING OF A BENDING WAVE AT A CRACK ON THE SURFACE OF ATHIN-PLATE, Acoustical physics, 41(4), 1995, pp. 515-517
The generation of the second harmonic by a shallow crack in the surfac
e of a thin plate is considered. The function of action is built for a
plate with a crack, and equations of motion are derived with the aid
of generalized functions. The solution of these equations is found in
the form a Fourier series in the first Born approximation, and the ter
m corresponding to the second harmonic is analyzed.