Summary
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.
Riassunto
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.
Резюме
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.
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Chen, P.J. Evolution of shock wave surfaces and amplitudes in piezoelectric materials. Il Nuovo Cimento D 10, 331–346 (1988). https://doi.org/10.1007/BF02450123
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DOI: https://doi.org/10.1007/BF02450123