The temperature field and the thermoelastic state in a plate containing a thin-walled elastic inclusion. (English. Russian original) Zbl 0472.73008
J. Appl. Math. Mech. 44, 236-240 (1981); translation from Prikl. Mat. Mekh. 44, 338-345 (1980).
MSC:
| 74F05 | Thermal effects in solid mechanics |
| 74K20 | Plates |
| 74E05 | Inhomogeneity in solid mechanics |
| 45K05 | Integro-partial differential equations |
| 41A10 | Approximation by polynomials |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
Keywords:
temperature and stress distributions; plate; thin walled elastic inclusion; finite length; subject to thermal parameters; system of two singular integrodifferential equations; method of orthogonal polynomialsReferences:
| [1] | Prusov, I. A., Certain Problems of Thermoelasticity (1972), Izd-vo Belorussk. Univ: Izd-vo Belorussk. Univ Minsk · Zbl 0254.76007 |
| [2] | Morar’, G. A.; Popov, G. Ia., On the contact problem for a half-plane with finite elastic reinforcement, PMM, Vol.34, No.3 (1970) · Zbl 0305.73015 |
| [3] | Sulim, G. T., Regularity of certain systems of linear algebraic equations, Visn. L’vov.Univ. Ser. mekhan.-matem. No.10 (1975) · Zbl 0432.73016 |
| [4] | Panasiuk, V. V.; Savruk, M. P.; Datsishin, A. P., Distribution of Stresses Around Cracks in Plates and Shells (1976), Naukova Dumka: Naukova Dumka Kiev |
| [5] | Sekine, H., Thermal stress problem for a ribbon-like inclusion, Letters Appl. Engng. Sci., Vol.5, No.1 (1977) |
| [6] | Sekine, H., Thermal stress near tips of an insulated line crack in a semi-infinite medium under uniform heat flow, Engng. Fracture Mech., Vol.9, No.2 (1977) |
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