Thermal Stresses near the Vertex of an Angular Polyhedral Inclusion
Soviet materials science : a transl. of Fiziko-khimicheskaya mekhanika materialov / Academy of Sciences of the Ukrainian SSR - Tập 37 - Trang 44-52 - 2001
Tóm tắt
We present a local solution of the problem of thermal elasticity for a body containing a polyhedral angular inclusion, determine the distributions of local stresses and displacements near the vertex of the inclusion, and analyze the results.
Tài liệu tham khảo
A. P. Norden, A Brief Course of Differential Geometry [in Russian], GIFML, Moscow (1958).
I. T. Denisyuk, “Stresses near conic and pyramidal inclusions,” Fiz.–Khim. Mekh. Mater., 36, No. 2, 16–20 (2000).
Ya. M. Hryhorenko and A. M. Tymonin, “Solution of the problems of bending of plates of complex shape in orthogonal curvilinear coordinates,” Dop. Akad. Nauk Ukr. SSR. Ser. A, No. 2, 50–52 (1987).
I. G. Petrovskii, Lectures on the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1979).
H. Bateman and A. Erdélyi, Higher Transcendental Functions. Part 1 [Russian translation], Nauka, Moscow (1984).
V. Z. Parton and P. I. Perlin, Methods of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1984).
I. T. Denisyuk, “Stressed state near a singular line on the boundary of media,” Izv. Ros. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 64–70 (1992).
I. T. Denisyk, “Singular stresses in an isotropic matrix containing an elastic wedge,” Fiz.–Khim. Mekh. Mater., 28, No. 4, 76–81 (1992).