State of stress of plate with a thin-walled inclusion along the arc of a circle. (English. Russian original) Zbl 0546.73006
J. Appl. Math. Mech. 47, 206-213 (1984); translation from Prikl. Mat. Mekh. 47, 249-256 (1983).
Summary: An approach is proposed for the investigation of the influence of a thin- walled elastic inclusion along the arc of a circle on the state of stress of a homogeneous isotropic plate. The solution of the problem reduces to a system of two singular integro-differential equations of Prandtl type. A numerical analysis is presented for the stress intensity coefficients.
MSC:
| 74E05 | Inhomogeneity in solid mechanics |
| 74K20 | Plates |
| 74G70 | Stress concentrations, singularities in solid mechanics |
Keywords:
thin-walled elastic inclusion; arc of a circle; state of stress; homogeneous isotropic plate; system of two singular integro-differential equations; Prandtl type; numerical; stress intensity coefficientsReferences:
| [1] | Grilitskii, D. V.; Sorokatyi, Iu. I.; Sulim, G. T., System of singular integral equations of a problem for thin-walled elastic inclusions along the arc of a circle, Vestnik L’vov Univ., Ser. Mekhan-Matem., No.15 (1979) |
| [2] | Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity (1953), Noordhoff: Noordhoff Groningen · Zbl 0052.41402 |
| [3] | Morar’, G. A.; Popov, G. Ia., On a contact problem for a half-plane with finite elastic reinforcement, PMM, Vol.34, No.3 (1970) · Zbl 0305.73015 |
| [4] | Dragan, M. S.; Opanasovich, V. K., State of stress of a strip (beam with a rectilinear thin-walled inclusion, PMM, Vol.43, No.2 (1979) · Zbl 0437.73006 |
| [5] | Panasiuk, V. V.; Savruk, M. P.; Datsishin, A. P., Stress Distribution Around Cracks in Plates and Shells (1976), NAUKOVA DUMKA: NAUKOVA DUMKA Kiev |
| [6] | Berezhnitskii, L. T.; Pan’kKiv, B. I., Stress intensity coefficients near an arch-shaped rigid inclusion, Fiz.-Khim. Mekhan., Materialov, Vol.12, No.2 (1976) |
| [7] | Panasiuk, V. V., Ultimate Equilibrium of Brittle Bodies with Cracks (1968), NAUKOVA DUMKA: NAUKOVA DUMKA Kiev |
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