Elastic sh wave propagation in a layered anisotropic plate with periodic interface cracks: exact versus spring boundary conditions

Journal of Mechanics of Materials and Structures

Volumn 5, Issue 1, 2010, Pages 67-78

  Boström, Anders ^a   Kvasha, Oleg V ^b  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b KUBAN STATE UNIVERSITY   (Russian Federation)

Author keywords

Anisotropy; Elastic waves; Periodic cracks; Plate equations; Spring boundary conditions

Indexed keywords

ANISOTROPIC PLATES; ANTI-PLANE; DISPERSION RELATIONS; FLOQUET'S THEOREM; HYPERSINGULAR INTEGRAL EQUATION; INTERFACE CRACK; LOW FREQUENCY; PERIODIC ARRAYS; PERIODIC CRACKS; PLATE EQUATIONS; POWER SERIES EXPANSIONS; SH-WAVE PROPAGATION; SPRING BOUNDARY CONDITIONS; THICK PLATE; THREE MODELS;

ANISOTROPY; CRACKS; ELASTIC WAVES; MATHEMATICAL TECHNIQUES; WAVE PROPAGATION;

BOUNDARY CONDITIONS;

EID: 77957889715     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2010.5.67     Document Type: Article

References (7)

1. Y. C. Angel and J. D. Achenbach, "Reflection and transmission of elastic waves by a periodic array of cracks: oblique incidence", Wave Motion 7:4 (1985), 375-397.
2. V. A. Babeshko, E. V. Glushkov, and J. F. Zinchenko, Russian Source, Nauka, Moscow, 1989.
3. A. Boström and M. Golub, "Elastic SH wave propagation in a layered anisotropic plate with interface damage modelled by spring boundary conditions", Q. J. Mech. Appl. Math. 62:1 (2009), 39-52.
4. A. Boström, G. Johansson, and P. Olsson, "On the rational derivation of a hierarchy of dynamic equations for a homogeneous, isotropic, elastic plate", Int. J. Solids Struct. 38:15 (2001), 2487-2501.
5. S. K. Datta and A. H. Shah, Elastic waves in composite media and structures: with applications to ultrasonic nondestructive evaluation, CRC Press, Boca Raton, FL, 2009.
6. A. Yariv and P. Yeh, Optical waves in crystals: propagation and control of laser radiation, Wiley, New York, 1984.
7. C. Zhang and D. Gross, On wave propagation in elastic solids with cracks, vol. 2, International Series on Advances in Fracture Mechanics, Computational Mechanics Publications, Southampton, 1998.