Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 28, Issue 32, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979214502312
Keywords
Phononic crystal rod; transfer matrix; band gap; longitudinal stress; surface wave modal frequency
Funding
- National Natural Science Foundation of China [51375105]
- Natural Science Foundation of Heilongjiang Province of China [E201418]
- China Postdoctoral Science Foundation [2012M520705]
- Fundamental Research Funds for the Central Universities of Ministry of Education of China [HEUCF130705]
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For the propagation of harmonic longitudinal stress wave in phononic crystal rod (PCR), transfer matrix of elastic wave in PCR was derived based on the wave equation and band structure of infinite PCR was calculated. For semi-infinite PCR, theoretical derivation of dynamic stress solutions of arbitrary section and internal interfaces was conducted with Bloch theorem. Inherent relationship between dynamic stress and surface wave modal frequency (SWMF) was analyzed. Afterwards, numerical computation mainly focusing on dynamic stress level of the internal interfaces of PCR was given in detail. Finally, numerical analysis for finite PCR was carried out and verified by finite element simulation. Our results show that SWMF has a significant influence on the dynamic stress, and exactly it is the formal pole of stress solution whose nature is directly determined by the sort order of the two materials constituting the PCR.
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