Self-action of propagating and standing Lamb waves in the plates exhibiting hysteretic nonlinearity: Nonlinear zero-group velocity modes.

摘要: Abstract An analytical theory accounting for the influence of hysteretic nonlinearity micro-inhomogeneous plate material on Lamb waves near S 1 zero group velocity point is developed. The predicts that main effect quadratic consists in modification frequency and induced absorption modes. effects nonlinear self-action propagating standing are expected to be, respectively, nearly twice three times stronger than those plane acoustic waves. restricted simplest nonlinearity, which influencing only one Lame moduli materials. However, possible extensions cases more general nonlinearities discussed as well perspectives its experimental testing. Applications include nondestructive evaluation cracked plates.