Abstract
By means of the complex variable function method and the technique of conformal mapping, the anti-plane shear problem of an elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals is investigated. The solution of the stress intensity factor (SIF) for mode III problem has been found. Under the condition of limitation, both the known results and the SIF solution at the crack tip of a circular hole with two straight cracks and cross crack in one-dimensional hexagonal quasicrystals can be obtained.
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Communicated by WANG Yin-bang
Project supported by the National Natural Science Foundation of China (No. 10761005) and the Natural Science Foundation of Inner Mongolia Autonomous Region (No. 200607010104)
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Guo, Jh., Liu, Gt. Analytic solutions to problem of elliptic hole with two straight cracks in one-dimensional hexagonal quasicrystals. Appl. Math. Mech.-Engl. Ed. 29, 485–493 (2008). https://doi.org/10.1007/s10483-008-0406-x
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DOI: https://doi.org/10.1007/s10483-008-0406-x