Solution of quasi-periodic fracture problems by the representative cell method |
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Authors: | M Ryvkin B Nuller |
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Affiliation: | (1) Department of Solid Mechanics, Materials and Structures, Faculty of Engineering, Tel-Aviv University, Ramat Aviv 69978, Israel, IL;(2) Department of Mathematics, St. Petersburg Forest Academy, 194018, Russia, RU |
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Abstract: | A general scheme for the solution of linear elastic quasi-periodic fracture problems is presented. The simplest type of such
problems is characterized by a non-periodic stress state in a domain with translational symmetry. Employing the discrete Fourier
transform reduces the initial problem to a problem of a representative cell with specific boundary conditions which may be
solved analytically or numerically. The procedure for solving the problem by the finite element method is developed. The suggested
technique is employed for the solution of the problem of antiplane deformation of a strip weakened by a periodic array of
arbitrary loaded cracks. |
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Keywords: | |
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