Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Alla V. Ilyashenko"'
Publikováno v:
Mechanics and Mechanical Engineering. 22:1329-1336
The exact solutions of the linear Pochhammer – Chree equation for propagating harmonic waves in a cylindrical rod, are analyzed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes is performed. Analytical e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6eb9e6f0fba45dbb061247b5dafcd539
https://doi.org/10.2478/mme-2018-0103
https://doi.org/10.2478/mme-2018-0103
Publikováno v:
Acoustical Physics. 64:659-664
Exact solutions to the Pochhammer–Chree equation describing harmonic wave propagation in an elastic cylindrical bar are analyzed. For the first time, spectral analysis of the matrix of dispersion equation is performed for axisymmetric longitudinal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c32ca58452bf394d8401353b4a55315f
https://doi.org/10.1134/s1063771018060088
https://doi.org/10.1134/s1063771018060088
Publikováno v:
Journal of Mechanics. 35:327-334
The exact solutions of Pochhammer — Chree equation for propagating harmonic waves in isotropic elastic cylindrical rods, are analyzed. Spectral analysis of the matrix dispersion equation for the longitudinal axially symmetric modes is performed. An
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5c8d9c224920e88349ad681ea227b23
https://doi.org/10.1017/jmech.2018.13
https://doi.org/10.1017/jmech.2018.13
Publikováno v:
Mathematical Models and Computer Simulations. 10:308-313
A mathematical model describing the propagation of Lamb waves in layered anisotropic media is introduced. The model is based on the six-dimensional complex Cauchy formalism, which makes it possible to derive the dispersion equation for Lamb waves in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c4a8ec924b4339909b868b3eb2dc1c6
https://doi.org/10.1134/s2070048218030055
https://doi.org/10.1134/s2070048218030055
Publikováno v:
Archive of Applied Mechanics. 88:1385-1394
The exact solutions of the linear Pochhammer–Chree equation for propagating harmonic waves in a cylindrical rod are analyzed. Spectral analysis of the matrix dispersion equation for longitudinal axially symmetric modes is performed. Analytical expr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93defc2dbbbaf4875efce995a90579b4
https://doi.org/10.1007/s00419-018-1377-7
https://doi.org/10.1007/s00419-018-1377-7
Publikováno v:
Journal of Pseudo-Differential Operators and Applications. 9:853-859
3D problems for plane cracks of arbitrary shape in anisotropic media are considered. The stress intensity factors are determined by the intensity factors of the crack displacement discontinuity field. Strong ellipticity of the constructed pseudodiffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a103f0e9a973516586fc457e9de93e3
https://doi.org/10.1007/s11868-018-0245-0
https://doi.org/10.1007/s11868-018-0245-0
Publikováno v:
Mechanics and Mechanical Engineering. 22:187-194
A two-scale asymptotic analysis coupled with the spatially periodic fundamental solutions are used for analyzing diffraction of elastic bulk waves propagating in anisotropic media containing periodic inclusions or voids. Explicit equations are derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd9905aea13dd58ae7dc043fc9000df6
https://doi.org/10.2478/mme-2018-0017
https://doi.org/10.2478/mme-2018-0017
Publikováno v:
Russian Journal of Nondestructive Testing. 53:597-603
Research into applications of acoustic SH-waves and Love waves to nondestructive testing of stratified media is reviewed. A mathematical model has been developed for describing the propagation of waves with horizontal polarization (SH-waves and Love
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c6cb92a5b6f9a4ad5d26b71eb5f986a
https://doi.org/10.1134/s1061830917090078
https://doi.org/10.1134/s1061830917090078
Publikováno v:
Archive of Applied Mechanics. 87:1365-1369
For a plane crack of arbitrary loading in a medium with arbitrary elastic anisotropy analytic expressions are derived allowing computing stress intensity factors by the corresponding displacement intensity factors. The relation between both intensity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9b3434f3033d2e6292879f304ad12fd
https://doi.org/10.1007/s00419-017-1255-8
https://doi.org/10.1007/s00419-017-1255-8
Publikováno v:
Russian Journal of Nondestructive Testing. 53:243-259
Theoretical aspects of applying Lamb waves to nondestructive testing of layered anisotropic media are considered. Propagation of Lamb waves is analyzed using a six-dimensional complex Cauchy formalism that allows one to obtain a closed-form equation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2118c615395ebc26f1db16a4a30f6660
https://doi.org/10.1134/s1061830917040039
https://doi.org/10.1134/s1061830917040039