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- W1993787658 abstract "The method of the Riemann boundary-value problem for a denumerable set of contours is used to solve the fundamental quasi-periodic problems of the theory of elasticity for a plane with cuts distributed along a straight line. The solutions are obtained in explicit form as “ordinary” “corrected” Cauchy-type integrals along a denumerable set of segments of the real axis, and uniformly converging series of simple fractions whose coefficients are found from an infinite system of linear algebraic equations. In a number of cases the solutions of the system are found explicitly, for example, when the boundary conditions of the problem are periodic or decrease near infinity as some power function of degree less than minus one. The system has a unique solution in all cases. Formulas are obtained for the stress intensity factors and their asymptotic expressions for the cuts situated near infinity. Numerical examples are given for the quasi-linear problem of the theory of cracks. These problems were first formulated in [1, 2]and studied using the method of discrete Fourier transforms. The preference for the method used in the present paper is due to the fact that it does not contain such additional transformations as the direct and inverse Fourier transformations." @default.
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- W1993787658 date "1992-01-01" @default.
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- W1993787658 title "Effective solution of the fundamental quasi-periodic problems of the theory of elasticity for a plane with cuts distributed along a straight line" @default.
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- W1993787658 doi "https://doi.org/10.1016/0021-8928(92)90036-8" @default.
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