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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 2, Pages 143–151 (Mi pmtf2489)  
This article is cited in 7 scientific papers (total in 7 papers)

Elastic anisotropic material with purely longitudinal and transverse waves

N. I. Ostrosablin

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (209 kB) Citations (7)
Abstract: The simplest form of the matrix of elasticity moduli of an anisotropic material conducting purely longitudinal and transverse waves with an arbitrary direction of the wave normal is obtained. A generic solution of equations in displacements is represented in terms of three functions satisfying independent wave equations. In the case of planar deformation, this solution yields a complex representation coinciding with the Kolosov–Muskhelishvili formulas for an isotropic material. The formulas in the present work also determine an anisotropic material with Young's modulus identical for all directions, as in an isotropic medium.
Keywords: anisotropy, longitudinal and transverse waves, moduli of elasticity, generic solution.
Received: 03.06.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 2, Pages 271–278
DOI: https://doi.org/10.1023/A:1022560914033
Bibliographic databases:
Document Type: Article
UDC: 539.3:517.958
Language: Russian
Citation: N. I. Ostrosablin, “Elastic anisotropic material with purely longitudinal and transverse waves”, Prikl. Mekh. Tekh. Fiz., 44:2 (2003), 143–151; J. Appl. Mech. Tech. Phys., 44:2 (2003), 271–278
Citation in format AMSBIB
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\by N.~I.~Ostrosablin
\paper Elastic anisotropic material with purely longitudinal and transverse waves
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 2
\pages 143--151
\mathnet{http://mi.mathnet.ru/pmtf2489}
\elib{https://elibrary.ru/item.asp?id=17274781}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 2
\pages 271--278
\crossref{https://doi.org/10.1023/A:1022560914033}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2489
  • https://www.mathnet.ru/eng/pmtf/v44/i2/p143
    • This publication is cited in the following 7 articles:
    1. N. I. Ostrosablin, “Canonical moduli and general solution of equations of a two-dimensional static problem of anisotropic elasticity”, J. Appl. Mech. Tech. Phys., 51:3 (2010), 377–388  mathnet  mathnet  crossref
    2. Sheng-Tao John Yu, Lixiang Yang, Hao He, “First-order hyperbolic form of velocity-stress equations for waves in elastic solids with hexagonal symmetry”, International Journal of Solids and Structures, 47:9 (2010), 1108  crossref
    3. Lixiang Yang, Yung-Yu Chen, S.-T. John Yu, “Eigenstructure of First-Order Velocity-Stress Equations for Waves in Elastic Solids of Trigonal 32 Symmetry”, Journal of Applied Mechanics, 77:6 (2010)  crossref
    4. B. D. Annin, N. I. Ostrosablin, “Anisotropy of elastic properties of materials”, J. Appl. Mech. Tech. Phys., 49:6 (2008), 998–1014  mathnet  mathnet  crossref
    5. José M. Carcione, Klaus Helbig, “Elastic medium equivalent to Fresnel's double-refraction crystal”, The Journal of the Acoustical Society of America, 124:4 (2008), 2053  crossref
    6. T.C.T. Ting, “Transverse waves in anisotropic elastic materials”, Wave Motion, 44:2 (2006), 107  crossref
    7. N. I. Ostrosablin, “Purely transverse waves in elastic anisotropic media”, J. Appl. Mech. Tech. Phys., 46:1 (2005), 129–140  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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