Doubly periodic cracks in the anisotropic medium with the account of contact of their faces

• Autorzy: Maksymovych O. , Pasternak I. , Sulym H. , Kutsyk S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

anisotropic; doubly periodic; singular integral equation; crack

PL

anizotropia; dwuokresowość; pęknięcie

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2014
• Tom: Vol. 8, no. 3
• Strony: 160--164
• Opis fizyczny: Bibliogr. 11 poz., tab.

Twórcy

autor

Maksymovych O.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Pasternak I.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Sulym H.

• Bialystok Technical University, Wiejska Str. 45C, 15-351 Bialystok, Poland

autor

Kutsyk S.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

Bibliografia

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• 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.