Determination of elastic constants of anisotropic materials by multiple mode surface waves

Ikuo Ihara, Naoki Uchida, Hideo Koguchi, Tatsuhiko Aizawa, Junji Kihara

Research output: Contribution to journalArticlepeer-review


An efficient inversion technique to determine elstic constants of anisotropic solids from the leaky surface acoustic wave (LSAW) is presented. In the present inversion two types of LSAW velocities, the leaky Rayleigh mode and the pseudo-leaky Rayleigh mode, have been used as knewn parameters. Both the velocities in specified directions on the solid surface can be obtained from either the phase change or the amplitude change of the ultrasonic reflection coefficient of the surface. The elastic constants are determined from the directional variations of both the LSAW velocities using an optimization procedure. Based on the investigations of the stability and accuracy of the solution in inverse problems defined on a cubic crystal, it has been shown (that the use of dual mode LSAWs enables us to make better elastic constants determination with a high precision than the use of a single mode LSAW. In addition, it has been confirmed that, by performing a series of numerical simulations using a synthetic data and an experiment, all the elastic constants of the crystal can be determined accurately by the present inversion with the knowledge of the crystallographic orientation and the density.

Original languageEnglish
Pages (from-to)457-464
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number618
Publication statusPublished - 1998
Externally publishedYes


  • Anisotropy
  • Elastic constants
  • Inverse problem
  • Nondestructive inspection
  • Surface acoustic wave
  • Ultrasonic inspection

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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