Determination of the elastic constants of anisotropic solids from acoustic-wave group-velocity measurements.

Cette methode correspond a une procedure d'optimisation a deux etapes. Laquelle on fait varier les constantes elastiques afin d'obtenir un ajustement des moindre carres des vitesses de groupe mesurees a celles calculees. A chaque etape iterative, un processus de minimisation est employe pour determiner les normales aux ondes et les vitesses des ondes. La methode est demontree avec des donnees synthetiques generees pour plusieurs cristaux cubiques, et aux donnees experimentales obtenues sur des monocristaux de Si

[1]  A. Every.  General closed-form expressions for acoustic waves in elastically anisotropic solids , 1980 .

[2]  S. Sengupta.  LATTICE THEORY OF ELASTIC CONSTANTS , 1988 .

[3]  Bernard Castagnède,et al.  Correlation method for normal mode tracking in anisotropic media using an ultrasonic immersion system , 1989 .

[4]  J. Dil.  Brillouin scattering in condensed matter , 1982 .

[5]  Ahmet N. Ceranoglu,et al.  Propagation of Elastic Pulses and Acoustic Emission in a Plate—Part 1: Theory , 1981 .

[6]  J. Monchalin,et al.  Precision laser-ultrasonic velocity measurement and elastic constant determination , 1989 .

[7]  B. Stoicheff,et al.  Determination of the Elastic Constants of Xenon Single Crystals by Brillouin Scattering , 1971 .

[8]  Mizuki,et al.  Phonon dispersion curves of bcc Ba. , 1982, Physical review. B, Condensed matter.

[9]  Kim,et al.  Phonon focusing and mode-conversion effects in silicon at ultrasonic frequencies. , 1990, Physical review letters.

[10]  A. Every.  Ballistic phonons and the shape of the ray surface in cubic crystals , 1981 .

[11]  John J. Hall,et al.  Electronic Effects in the Elastic Constants of n -Type Silicon , 1967 .

[12]  C. B. Scruby,et al.  Some applications of laser ultrasound , 1989 .

[13]  G. Duff,et al.  The Cauchy problem for elastic waves in an anisotropic medium , 1960, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[14]  W. Sachse,et al.  Optimal determination of the elastic constants of composite materials from ultrasonic wave‐speed measurements , 1990 .

[15]  Y. Pao,et al.  Propagation of Elastic Pulses and Acoustic Emission in a Plate—Part 3: General Responses , 1981 .