Il Nuovo Cimento D

, Volume 10, Issue 3, pp 331–346 | Cite as

Evolution of shock wave surfaces and amplitudes in piezoelectric materials

  • P. J. Chen


The general problems of the evolution of wave surfaces and amplitudes associated with mechanical and electrical discontinuities in piezoelectric materials are dealt with in this paper. The results presented are relevant to shock waves propagating in all materials obeying the classical constitutive relations of piezoelectricity, including as a special case linear anisotropic elasticity. A specific example concerning BaTiO3 single crystal is considered. The example illustrates the intricate quantitative results which may be obtained as a consequence of the analyses.

PACS 72.10

Theory of electronic transport scattering mechanisms 


In questo lavoro si trattano i problemi generali della evoluzione delle ampiezze e superfici d'onda associate a discontinuità meccaniche ed elettriche nei materiali piezoelettrici. I risultati presentati sono importanti per onde d'urto che si propagano in tutti i materiali che obbediscono alle relazioni costitutive classiche della piezoelettricità, incluso come caso speciale l'elasticità anisotropica lineare. Si considera uno specifico esempio che riguarda un singolo cristallo BaTiO3. L'esempio illustra gli intricati risultati quantitativi che si possono ottenere come conseguenza delle analisi.


В этой статье рассматриваются общие проблемы эволюции фронтов и амплитуд ударных волн, связанных с механическими и электрическими разрывами в пьезоэлектрических материалах. Полученные реэультаты относятся к ударным волнам, распространяющимся во всех материалах, которые подчиняются классическим конститутивным соотношениям пьезоэлектричества, включая, как частный случай, линейную анизотропную упрутость. Как пример, рассматривается монокристалл BaTiO3.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    G. A. Nariboli:J. Math. Anal. Appl.,16, 108 (1966).MATHMathSciNetCrossRefGoogle Scholar
  2. (2).
    M. J. P. Musgrave:Crystal Acoustics (Holden-Day, San Francisco, Cal., 1970).Google Scholar
  3. (3).
    T. Y. Thomas:J. Math. Mech.,6, 311 (1957).MATHMathSciNetGoogle Scholar
  4. (4).
    C. Truesdell andR. A. Toupin:The Classical Field Theories, inHandbuch der Physik, Vol. 3/1, edited byS. Flügge (Springer-Verlag, Berlin, 1960).Google Scholar
  5. (5).
    R. Courant andD. Hilbert:Methods of Mathematical Physics, Vol. 2 (John Wiley, New York, N.Y., 1962).Google Scholar
  6. (6).
    R. Bechmann:The Elastic, Piezoelectric, and Dielectric Constants of Piezoelectric Crystals, inNumerical Data and Functional Relationships in Science and Technology, Vol. 1, edited byK.-H. Hellwege (Springer-Verlag, Berlin, 1966).Google Scholar

Copyright information

© Società Italiana di Fisica 1988

Authors and Affiliations

  • P. J. Chen
    • 1
  1. 1.Sandia National LaboratoriesAlbuquerque

Personalised recommendations