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Abstrakty
The paper presents complex variable integral formulae and singular boundary integral equations for doubly periodic cracks in anisotropic elastic medium. It utilizes the numerical solution procedure, which accounts for the contact of crack faces and produce accurate results for SIF evaluation. It is shown that the account of contact effects significantly influence the SIF of doubly periodic curvilinear cracks both for isotropic and anisotropic materials.
Czasopismo
Rocznik
Tom
Strony
160--164
Opis fizyczny
Bibliogr. 11 poz., tab.
Twórcy
autor
- Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine
autor
- Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine
autor
- Bialystok Technical University, Wiejska Str. 45C, 15-351 Bialystok, Poland
autor
- Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine
Bibliografia
- 1. Bozhydarnyk V. V. (1998), Two-dimensional problems of the theory of elasticity and thermoelasticity of structurally inhomogeneous solids, Svit, Lviv (in Ukrainian).
- 2. Chen Y. Z., Hasebe N., Lee K. Y. (2003), Multiple crack problems in elasticity, Vol. 1. WIT, London.
- 3. Grigolyuk E. I., Filshtinskiy L. A. (1994), Regular piecewisehomogeneous structures with defects, Fizmatgiz, Moscow (in Russian).
- 4. Maksymovych O. (2009), Calculation of the stress state of anisotropic plates with holes and curvilinear cracks accounting for contact of their faces, Herald of Ternopil State Technical University, 2009, No. 3, 36–42 (in Ukrainian).
- 5. Malits P. (2010), Doubly periodic array of thin rigid inclusions in an elastic solid, Q. J. Mech. Appl. Math., 63, No. 2, 115–144.
- 6. Pasternak I. (2012), Doubly periodic arrays of cracks and thin inhomogeneities in an infinite magnetoelectroelastic medium, Eng. Anal. Bound. Elem., 36, No. 5, 799–811.
- 7. Sawruk M. P. (1981), Two-dimensional problems of elasticity for solids with cracks, Naukova dumka, Kyiv (in Russian).
- 8. Sulym H. T. (2007), Bases of mathematical theory of thermoelastic equilibrium of deformable solids with thin inclusions, NTSh, Lviv (in Ukrainian).
- 9. Wang G. S. (2004), The interaction of doubly periodic cracks, Theor. Appl. Fract. Mech., 42, 249–294.
- 10. Xiao J., Jiang C. (2009), Exact solution fro orthotropic materials weakened by doubly periodic cracks of unequal size under antiplane shear, Acta Mechanica Solida Sinica, 22, No. 1, 53–63.
- 11. Xiao J. H., Xu Y. L., Jiang C. P. (2011), Exact solution to the antiplane problem of doubly periodic conducting rigid line inclusions of unequal size in piezoelectric materials, Z. Angew. Math. Mech., 91, No. 5, 413–424.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a2749147-5f5b-4894-a092-b859d7937e97