The unified approach for the analysis of elastic equilibrium of solids containing thin internal and surface heterogeneities

• Autorzy: Pasternak I. , Sulym H.
• Języki publikacji: EN

Abstrakty

EN

This paper develops the unified approach for the analysis of plane elastostatic problems for solids containing thin elastic inclusions or overlays. The approach is based on the previously developed integral equation method for the solution of plane elastostatic problems for solids with perfectly embedded inclusions. In this paper the method is extended to the case of delaminated inclusion and elastic enforcing overlay. Thus, the wide class of problems can be solved basing on the developed technique.

Słowa kluczowe

EN

solid; surface heterogeneity; elastic equilibrium

PL

ciało stałe; niejednoroność powierzchni

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika
• Rocznik: 2010
• Tom: z. 81 [277]
• Strony: 51--60
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Pasternak I.

autor

Sulym H.

• Lutsk National Technical University, Ukraine

Bibliografia

• 1. Alexandrov V.M., Smetanin B.I., Sobol B.V.: Thin stress concentrators in elastic solids. Moscow 1993. (in Russian)
• 2. Aliabadi M.H., Saleh A.L.: Fracture mechanics analysis of cracking in plain and reinforced concrete using the boundary element method. Eng. Fract. Mech. 2002, 69, P. 267-280.
• 3. Leite L.G.S., Venturini W.S.: Boundary element formulation for 2D solids with stiff and soft thin inclusions. Eng. Anal. Bound. Elem. 2005, 29, P. 257-267.
• 4. Padron L.A., Aznarez J.J., Maeso O.: BEM-FEM coupling model for the dynamic analysis of piles and pile groups. Eng. Anal. Bound. Elem. 2007, 31, P. 473-484.
• 5. Pasternak I.M., Sulym H.T.: Dual boundary element method in the problems of thin inclusions theory. Proc. Int. Conf. “In-Service Damage of Materials, its Diagnostics and Prediction”, Ternopil 2009, P. 137-143. (in Ukrainian)
• 6. Popov G.Ya.: Concentration of elastic stresses near stamps, cuts, thin inclusions and enforcements. Nauka, Moscow 1982. (in Russian)
• 7. Portela A., Aliabadi M.H., Rooke D.P.: The dual boundary element method: Effective implementation for crack problems. Int. J. Numer. Meth. Engng. 1992, 33, P. 1269-1287.
• 8. Reissner E.: Note on the problem of the distribution of stress in a thin stiffened elastic sheet. Proc. of the National Academy of Sciences 1940, 26, P. 300-305.
• 9. Riederer K., Duenser C., Beer G.: Simulation of linear inclusions with the BEM. Eng. Anal. Bound. Elem. 2009, 33, P. 959-965.
• 10. Sulym H.T.: Bases of mathematical theory of thermoelastic equilibrium of deformable solids with thin inclusions. Research-and-Publishing Center, NTSh, Lviv 2007. (in Ukrainian)
• 11. Sulym H.T., Pasternak I.M.: Regularized Somigliana identity for elastic problems with thin shapes. Herald of Lviv university 2007, 13, P. 142-150. (in Ukrainian)
• 12. Sulym H.T., Pasternak I.M.: Determination of the limit state parameters of elastic solids containing thin inclusions basing on the numerical solution of the problem. Herald of the Ternopil state technical university 2009, 14(1), P. 15-22. (in Ukrainian)
• 13. Syaskyy A.O., Batyshkina Yu.V.: Partial symmetric enforcement of curvilinear hole in the unbounded plate. Herald of the Ternopil state technical university 2004, 9(2), P. 5-12.