Prediction of Wave Attenuation across Multiple Joints with an Improved Elastic Nonlinear Model
The study on nonlinear displacement discontinuity model has been investigated in the researches of normal incident wave attenuation across rock joints. But the studies were limited only on the effects of joint with single type deformation behavior, without considering the influence of different extent in model nonlinearity. The improved elastic nonlinear normal deformational model can descript the extent of nonlinearity quantitatively. Based on this model, a displacement discontinuity model for normally incident wave propagation across multiple parallel joints was established in an elastic half-space. Using one-dimensional wave equation characteristics method, the time-domain numerical difference scheme of transmitted particle velocity was proposed, making computational programs to obtain semi-numerical solutions, and transmission coefficients. Parameter studies were conducted to get an insight into the effects of number of joints and the extent of nonlinearity, the incident wave maximum amplitude on transmission coefficients and transmission energy rate, waveform distortion and delay time.
Chunliang Zhang and Paul P. Lin
B. X. Song et al., "Prediction of Wave Attenuation across Multiple Joints with an Improved Elastic Nonlinear Model", Applied Mechanics and Materials, Vols. 226-228, pp. 553-559, 2012