PROPAGACIÓN DE ONDAS EN UN MEDIO FLUIDO INMERSO EN UN SÓLIDO ELÁSTICO AGRIETADO, UTILIZANDO EL MÉTODO DE DIFERENCIAS FINITAS

Abstract

The presence of irregularities (cracks) in elastic materials leads to dispersion and diffraction during propagation of waves. This diffracted field produced during the propagation of waves provides valuable information for the detection and characterization of cracks or other heterogenetys. It is study the propagation of elastic waves in a 2D configuration. These are produced by a sonic source (Ricker pulse) in a fluid, in contact with an elastic solid. The solution of the equations of motion are obtained in the time domain using the finite difference method. The formulations are based on the equations of motion and equilibrium of the system, then get to the wave equation, using finite difference schemes are achieved in terms of speed and stresses to reduce the degree of differential equations. In formulating the spectral pseudo derivatives with respect to spatial variables are done with the fast Fourier transform. To have a clearer accuracy of the derived type mesh was used staggered. The crack was introduced in the configuration, to observe and study the propagation of waves we have with these formations. Through language Fortran calculations were obtained pressure and movement, and propagation is modeled by taking the Matlab program as a tool. It was the simulation of four cases: primary formation of propagation, slow formation (velocity of shear wave of solid is less), rapid formation and propagation of waves in half cracked. The formulations are stable numerical method, which are presented and discussed possible future work with more complex cases in geometry and materials. This work implemented a technique for solving problems associated with the propagation of waves in 2D, in systems with discontinuities of the finite difference method.