On multiple scattering in acoustic media: a deterministic Ray Tracing method for random structures.

The paper is devoted to computer and experimental simulation of US (ultrasonic) signal propagation in acoustic solids with micro-structure. Any change in the percentage of flaws or pores influences considerably the value of the ultrasonic wave speed. The theoretical analysis is based upon the Ray Tracing algorithm. We calculate numerically the full path of each ray from the transmitter to the receiver, in its multiple reflections between the surfaces of the internal obstacles. The natural experiments are performed in a water basin with some arrays of equal metallic round rods. This simulates the US evaluation of the mechanical properties of concrete. The computer modeling allows us to construct the envelope of the US signal registered at the receiving transducer. Then we simulate the dependence of the wave speed versus porosity. There is a sufficiently good accordance between numerical and experimental results.

[1]  J. Achenbach Wave propagation in elastic solids , 1962 .

[2]  Derode,et al.  Limits of time-reversal focusing through multiple scattering: long-range correlation , 2000, The Journal of the Acoustical Society of America.

[3]  F. N. Frenkiel,et al.  Waves In Layered Media , 1960 .

[4]  M. Fink,et al.  Multiple scattering of sound , 2000 .

[5]  J. Hudson Overall properties of a cracked solid , 1980, Mathematical Proceedings of the Cambridge Philosophical Society.

[6]  M. Brigante,et al.  Theoretical Models and Experimental Techniques in Nondestructive Evaluation of Concrete , 2005 .

[7]  Yih-Hsing Pao,et al.  Diffraction of elastic waves and dynamic stress concentrations , 1973 .

[8]  W. E. Lawrie,et al.  Ultrasonic testing of materials: 2nd English Edition, translated from the 3rd German Edition, J. & H. Krautkrämer Springer-Verlag, Berlin, Heidelberg, New York (1977) 667 pp, $65.20, DM 148 , 1978 .

[9]  J. Willis,et al.  The effect of spatial distribution on the effective behavior of composite materials and cracked media , 1995 .

[10]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[11]  E. Scarpetta,et al.  On wave propagation in elastic solids with a doubly periodic array of cracks , 1997 .

[12]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[13]  V. M. Malhotra,et al.  CRC Handbook on Nondestructive Testing of Concrete , 1990 .

[14]  Z. L. Li,et al.  Propagation of horizontally polarized transverse waves in a solid with a periodic distribution of cracks , 1986 .

[15]  M. Brigante,et al.  Reconstruction of Crack Clusters in the Rectangular Domain by Ultrasonic Waves , 2010 .

[16]  Jan Drewes Achenbach,et al.  Harmonic waves in an elastic solid containing a doubly periodic array of cracks , 1987 .

[17]  D. C. Rapaport,et al.  The Art of Molecular Dynamics Simulation , 1997 .

[18]  Jan Drewes Achenbach,et al.  Ray Methods For Waves In Elastic Solids , 1981 .

[19]  Heinrich Kuttruff,et al.  Room acoustics , 1973 .

[20]  Mathias Fink,et al.  Transport parameters for an ultrasonic pulsed wave propagating in a multiple scattering medium , 2000 .

[21]  B. Budiansky On the elastic moduli of some heterogeneous materials , 1965 .