The method of analytic functions of several complex variables in temperature problems of the theory of elasticity
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Solving a temperature problem of the theory of elasticity with a known thermoelastic potential is reduced to finding scalar- and vector-valued analytic functions of two complex variables that satisfy the boundary condition and are solutions of the basic and adjoint problems of elasticity theory respectively.
KeywordsBoundary Condition Analytic Function Complex Variable Elasticity Theory Adjoint Problem
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- 1.A. Ya. Aleksandrov, “On the extension of the method of solving three-dimensional problems of elasticity theory for solids of revolution using analytic and generalized analytic functions,”Mekh. Deform. Tela i Rasch. Sooruzh., No. 96, 5–35 (1970).Google Scholar
- 2.A. Ya. Aleksandrov and Yu. I. Solov'ev,Three-dimensional Problems of the Theory of Elasticity [in Russian], Nauka, Moscow (1978).Google Scholar
- 4.Ya. I. Burak and V. V. Pabirivs'kii, “On the application of the method of analytic functions in problems of the axisymmetric theory of elasticity,”Dop. Akad. Nauk Ukr., No. 3, 55–59 (1994).Google Scholar
- 5.I. N. Vekua,Generalized Analytic Functions, Pergamon Press, New York (1962).Google Scholar
- 6.B. A. Dubrovin, A. T. Fomenko, and S. P. Novikov,Modern Geometry, Springer-Verlag, New York (1984).Google Scholar
- 7.A. A. Kapshivyi and G. F. Maslyuk, “Solution of the mixed axisymmetric problem of the theory of elasticity for a half-space by the method ofp-analytic functions,”Prikl. Mekh.,3, No. 7, 21–27 (1967).Google Scholar
- 8.W. Nowacki,Theory of Elasticity [Russian translation], Mir, Moscow (1975).Google Scholar
- 9.G. N. Polozhii,Theory and Application of p-analytic and (p,q)-analytic Functions [in Russian], Naukova Dumka, Kiev (1973).Google Scholar
- 10.J. N. Goodier, “On the integration of the thermoelastic equations,”Phil. Mag.,23, No. 7, 47–63 (1937).Google Scholar