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Dynamic stress concentrations in thick plates with two holes based on refined theory 被引量:1
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作者 周传平 胡超 +1 位作者 F.MA 刘殿魁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第12期1591-1606,共16页
Based on complex variables and conformal mapping, the elastic wave scat- tering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem ... Based on complex variables and conformal mapping, the elastic wave scat- tering and dynamic stress concentrations in the plates with two holes are studied by the refined dynamic equation of plate bending. The problem to be solved is changed to a set of infinite algebraic equations by an orthogonM function expansion method. As examples, under free boundary conditions, the numerical results of the dynamic moment concen- tration factors in the plates with two circular holes are computed. The results indicate that the parameters such as the incident wave number, the thickness of plates, and the spacing between holes have great effects on the dynamic stress distributions. The results are accurate because the refined equation is derived without any engineering hypothese. 展开更多
关键词 refined vibration equation complex variable and conformal mappingmethod two holes elastic wave scattering and dynamic stress concentrations thick plate
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Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elastostatics 被引量:4
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作者 张路青 杨志法 吕爱钟 《Science China Earth Sciences》 SCIE EI CAS 2001年第2期146-158,共13页
By using Schwarz alternating method, this paper presents asimplified alternating algorithm for the problems of two holes having arbitrary shapes and arrangements in an isotropic homogeneous linear elastic infinite reg... By using Schwarz alternating method, this paper presents asimplified alternating algorithm for the problems of two holes having arbitrary shapes and arrangements in an isotropic homogeneous linear elastic infinite region, and obtains stress and displacement fields for random times of iteration. After precision analysis it is found that the results for twenty times of iteration are of very high precision, and those with higher precision can be acquired if the iteration solving is further conducted. The comparison of the results from FEM further proves the reliability of the simplified alternating algorithm presented by this paper. 展开更多
关键词 Schwarz alternating method two holes having arbitrary shapes arbitrary arrangements simplified alternating algorithm ITERATION stress field displacement field precision analysis
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Using Refined Theory to Studied Elastic Wave Scattering and Dynamic Stress Concentrations in Plates with Two Cutouts
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作者 Xujiao Yang Zihe Li Haoyu Liu 《Journal of Applied Mathematics and Physics》 2020年第12期2999-3018,共20页
In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied.... In this paper, based on complex variables and conformal mapping methods, using the refined dynamic equation of plates, elastic wave scattering and dynamic stress concentrations in plates with two cutouts were studied. Applying the orthogonal function expansion method, the problem to be solved can be reduced into the solution of a set of infinite algebraic equations. According to free boundary conditions, numerical results of dynamic moment concentration factors in thick plates with two circular cutouts analyze that: there will be more complex interaction changes between two-cutout situation than single cutout situation. In the case of low frequency or high frequency and thin plate, the hole-spacing in the absence of coupling interactions was larger or smaller. The numerical results and method can be used to analyze the dynamics and strength of plate-like structures. 展开更多
关键词 Refined Vibration Equation of Plate Bending Complex Variable and Conformal Mapping Method two holes Elastic Wave Scattering and Dynamic Stress Concentrations
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