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Contact problems for an elastic semi-infinite cylinder. (English. Russian original) Zbl 0255.73030

J. Appl. Math. Mech. 34, 590-601 (1970); translation from Prikl. Mat. Mekh. 34, 620-631 (1970).

MSC:

74B99 Elastic materials
74H99 Dynamical problems in solid mechanics
44A10 Laplace transform
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\)
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
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References:

[1] Lur’e, A. I., Three-Dimensional Problems of Elasticity Theory (1955), Gostekhizdat: Gostekhizdat Moscow · Zbl 0122.19003
[2] Kogan, B. I., State of stress of an infinite cylinder pressed into absolutely rigid semi-infinite cylindrical sleeve, PMM, Vol. 20, N≗2 (1956)
[3] Noble, B., Application of the Wiener-Hopf Method to Solve Partial Differential Equations (1962), IIL: IIL Moscow, (Russian translation)
[4] Nuller, B. M., On the generalized orthogonality relation of P.A. Schiff., PMM, Vol. 33, N≗2 (1969) · Zbl 0194.25801
[5] Kagan, V. F., Foundation of the Theory of Determinants (1922), Odessa
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