Investigation of surface wave operators in a nonohomogeneous anisotropic elastic half-space

• Autorzy: Klecha T.
• Języki publikacji: EN

Abstrakty

EN

In the paper new alternative approach to surface wave problem in a nonohomogeneous anisotropic elastic semi-space in terms of stress tensor components vanishing on semi-space boundary is presented. This approach alows to perform analysis of surface wave using Green`s function theory similar as is it done for Sturm-Liouville operations in the space of unbounded measure.

Słowa kluczowe

EN

stress surface wave; anisotropic nonohomogeneous elastic semi-space; nonlinear eigenvalue problem

PL

elastokinematyka

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Prace Instytutu Podstawowych Problemów Techniki PAN
• Rocznik: 2000
• Tom: nr 5
• Strony: 3--11
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Klecha T.

• Akademia Ekonomiczna Kraków, Katedra Matematyki

Bibliografia

• [1] J. Ignaczak, A completness problem for stress -equations of motion in linear elasticity theory, AMS, 15, 2, 225 - 233, 1963.
• [2] T. Klecha, Surface stress waves in a nonhomogeneous elastic half-space. Part I. Arch. Mech., 48, 3, 493 - 512, 1996.
• [3] M.A. Najmark, Linear Differential Operators, Nauka, Moskva, 1969 (in Russian).
• [41 T. Rożnowski, Surface stress waves in a transversely isotropic nonhomogeneous elastic semispace. Part L Equations of motion and equation of a Rayleigh - type surface wave, Arch. Mcch. Stos. 44, 4, 417 - 435, 1992.
• [5] T. Rożnowski, Surface stress waves in a transversely isotropic nonhomogeneous elastic semispace. Part n. Surface stress wave in a „weakly" anisotropic semi-space with ..small nonhomogenity", Arch. Mech. Stos. 44, 4, 437 - 451, 1992.
• [6] S.G. Lechnickij, Tieoria uprugosti aniwtropnowo tiela. (in Russian), Nauka, Moskva, 1977.
• [71 B.M. Levitan, J.S. Sargsjan, Operatory Sturma-Liouville'a i Diraca, Nauka, Moskva, 1988, (in Russian).
• [8) M.E. Gurtin, The Linear Theory of Elasticity in Encyclopedia of Physics, Vol Vla/2 Springer Veriag, 1972.