The method of analytic functions of several complex variables in temperature problems of the theory of elasticity

被引：0

作者：

Burak Ya.I. ^{[1
]}

Pabirivs'kii V.V. ^{[1
]}

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 88卷 / 3期

关键词：

Boundary Condition; Analytic Function; Complex Variable; Elasticity Theory; Adjoint Problem;

D O I：

10.1007/BF02365252

中图分类号：

学科分类号：

摘要：

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. ©1998 Plenum Publishing Corporation.

引用

页码：360 / 363

页数：3

共 10 条

[1]

Aleksandrov, A.Ya., On the extension of the method of solving three-dimensional problems of elasticity theory for solids of revolution using analytic and generalized analytic functions (1970) Mekh. Deform. Tela i Rasch. Sooruzh., (96), pp. 5-35

[2]

Aleksandrov, A.Ya., Solov'ev, Yu.I., (1978) Three-dimensional Problems of the Theory of Elasticity [in Russian], , Nauka, Moscow

[3]

Aleksandrovich, A.I., Application of the theory of functions of two complex variables to the theory of elasticity (1977) Dokl. Akad. Nauk SSSR, 232 (3), pp. 542-545

[4]

Burak, Ya.I., Pabirivs'kii, V.V., On the application of the method of analytic functions in problems of the axisymmetric theory of elasticity (1994) Dop. Akad. Nauk Ukr., (3), pp. 55-59

[5]

Vekua, I.N., (1962) Generalized Analytic Functions, , Pergamon Press, New York

[6]

Dubrovin, B.A., Fomenko, A.T., Novikov, S.P., (1984) Modern Geometry, , Springer-Verlag, New York

[7]

Kapshivyi, A.A., Maslyuk, G.F., Solution of the mixed axisymmetric problem of the theory of elasticity for a half-space by the method of p-analytic functions (1967) Prikl. Mekh., 3 (7), pp. 21-27

[8]

Nowacki, W., (1975) Theory of Elasticity [Russian Translation], , Mir, Moscow

[9]

Polozhii, G.N., (1973) Theory and Application of P-analytic and (P,q)-analytic Functions [in Russian], , Naukova Dumka, Kiev

[10]

Goodier, J.N., On the integration of the thermoelastic equations (1937) Phil. Mag., 23 (7), pp. 47-63

← 1 →