Thermal stress analysis of dedecagonal two-dimensional quasicrystals circular arc cracks
MA Yuanyuan1, ZHAO Xuefen2, DING Shenghu1
Author information+
1.School of Mathematics and Statistics, Ningxia University, Yinchuan 750021,China;
2.Xinhua College, Ningxia University, Yinchuan 750021,China
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Received
Revised
Published
2020-01-09
2020-06-10
2021-09-28
Issue Date
2021-09-28
Abstract
By using the complex variable method, the thermal stress of multiple cracks at the interface of a dedecagonal two-dimensional quasicrystals circular arc was investigated.Based on the combined use of the Cauchy type integral, partition holomorphic function theory, generalized Liouville theorem, Riemann-Schwarz analytic continuation theorem and the singularity principal part analysis of complex stress function,the general complex potential solutions of the temperature field, phonon field and phason field inside and outside the inclusion were derived when a concentrated heat source acted on any point in the matrix.The results were compared with the existing results, and the validity of the method was verified.The influences of the inclusion radius, and the point heat source strength on the stress and stress intensity factor at crack tip were discussed by virtue of numerical examples.The results can better guide the design and application of quasicrystal materials.
MA Yuanyuan, ZHAO Xuefen, DING Shenghu.
Thermal stress analysis of dedecagonal two-dimensional quasicrystals circular arc cracks[J]. Journal of Vibration and Shock, 2021, 40(18): 237-249
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