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1. Stability Analysis of Gradient Elastic Slender Columns | |||
Kong Shenli ,Zhou Shenjie ,Nie Zhifeng ,Wang Kai | |||
Mechanics 12 October 2007 | |||
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Abstract:The problems of stability of slender columns are solved analytically on the basis of modified couple stress theory. The governing equations of equilibrium and the corresponding boundary conditions are obtained by a combination of the basic equations of modified couple stress theory and variational statement. The governing equations of equilibrium are solved and the buckling load of the slender column is assessed. It is found that the buckling load predicted by the newly established model is size-dependent. The difference between the buckling loads calculated from the newly developed model and classical model is significant when the characteristic sizes such as thickness and diameter are small, but is diminishing with the increase of the characteristic sizes. Comparison of buckling loads and buckling modal shapes for various boundary conditions are presented. | |||
TO cite this article:Kong Shenli ,Zhou Shenjie ,Nie Zhifeng , et al. Stability Analysis of Gradient Elastic Slender Columns[OL].[12 October 2007] http://en.paper.edu.cn/en_releasepaper/content/15645 |
2. The Correlation between Fractal Dimension of Fracture Surfaces and Mechanical Properties | |||
Liu Haishun,Yin Chunhao,Miao Xiexing | |||
Mechanics 24 October 2006 | |||
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Abstract:The literature on metal fatigue and fracture based on fractal theory is reviewed, focusing on the fractal character of metal fracture surfaces and the approaches to measure the fractal dimension. The correlations between the fractal dimension of fracture, various fractal models of metal fatigue crack propagation and fracture are analyzed and compared, and the physical signification of fractal dimension are also discussed. It seems there is still further research necessary to improve theoretical method and to reveal the physical nature of fractal dimension. We expect this paper could make the fractal theory understood comprehensively, and could expand fractal application properly in more and more fields. | |||
TO cite this article:Liu Haishun,Yin Chunhao,Miao Xiexing. The Correlation between Fractal Dimension of Fracture Surfaces and Mechanical Properties[OL].[24 October 2006] http://en.paper.edu.cn/en_releasepaper/content/8936 |
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