Abstract
We reduce the problems of heat conduction and thermoelasticity for an isotropic plate with foreign elastic inclusions bounded by piecewise smooth curves to problems of conjugation of analytic functions on broken lines. Singular solutions of these problems and the corresponding complex potentials are constructed.
Similar content being viewed by others
References
I. A. Prusov,Some Problems of Thermoelasticity [in Russian], Belorussian State University, Minsk (1972).
I. T. Denysyuk, “Singularities of stresses in an anisotropic plate with angular notch,”Prikl. Mekh., No. 1, 48–52 (1996).
I. T. Denysyuk, “Stressed state near a singular line on the boundary of media,”Izv. Ros. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 64–70 (1995).
N. I. Muskhelishvili,Singular Integral Equations [in Russian], Nauka, Moscow (1962).
N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1966).
I. T. Denysyuk and V. M. Sadivskii, “On a stress-strain state near rigid inclusions induced by thermal treatment,”Fiz.-Khim. Mekh. Mater.,19, No. 1, 105–106 (1983).
Additional information
Luts'k Industrial Institute, Luts'k. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 34, No. 3, pp. 67–72, May–June, 1998.
Rights and permissions
About this article
Cite this article
Denysyuk, I.T. Thermostressed state of a plate with angular inclusions. Mater Sci 34, 365–374 (1998). https://doi.org/10.1007/BF02355626
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355626