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1. Gradient Piezoelectric Beam with Flexoelectric and Surface Effects | |||
YUE Yanmei,XU Kaiyu | |||
Mechanics 05 December 2015 | |||
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Abstract:In this paper, a piezoelectric beam model with flexoelectricity and surface effects is proposed. An energy variational principle is postulated to develop the governing equations and boundary conditions. Moreover, the strain gradient coefficient and flexoelectric paprameter are introduced to account for higher order coupling effects of underlying microstructure. Then the bending problem of a cantilever beam is solved to illustrate the theory. It is found that the deflection of the cantilever may depend strongly on the so-introduced gradient-related effects and surface properties. Flexoelectricity can soften the beam stiffness, while strain gradient may enhance the beam striness. And also, the electric field distributions obtained by the models with and without the coupling of strian gradient have a great difference. | |||
TO cite this article:YUE Yanmei,XU Kaiyu. Gradient Piezoelectric Beam with Flexoelectric and Surface Effects[OL].[ 5 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4666619 |
2. ON CONCEPT OF FRACTAL IN FRACTURE MECHANICS | |||
OU Zhuocheng,LI Guanying,DUAN Zhuoping,HUANG Fenglei | |||
Mechanics 02 August 2012 | |||
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Abstract:Fractal, or generally a self-similar (or self-affine) structure of infinite order, has been extensively used as a nonlinear mathematical tool to describe various irregular and complex phenomena in fracture mechanics. However, there are still critical issues remaining ambiguous, leading to inherent difficulties mainly resulted from the contradiction between the integral dimension immeasurability of a fractal and the integral dimension characteristic of a physical object in nature. Here we demonstrate that conceptually a physical object in nature can never be described as a fractal, rather a ubiquitiform (a terminology coined here for a finite order self-similar or self-affine structure), and show mathematically that a ubiquitiform must be of integral dimension in Euclidean space, which is radically different from a fractal in the sense of the Hausdorff measure and makes the fractal approximation of a ubiquitiform unavailable. Our result implies that a natural object is of ubiquitiform rather than fractal, and thus, instead of the existing fractal theory, a new type of ubiquitiform theory must be established in future. We anticipate this result to be a starting point for the coming universal ubiquitiform theory in fracture mechanics. Moreover, it can be expected that the coming ubiquitiform theory will be more easy-to-use in practice than the fractal one, since it can be constructed completely on the base of "classical" mathematics, and hence some intrinsic difficulties in applied fractal science can be avoided. | |||
TO cite this article:OU Zhuocheng,LI Guanying,DUAN Zhuoping, et al. ON CONCEPT OF FRACTAL IN FRACTURE MECHANICS[OL].[ 2 August 2012] http://en.paper.edu.cn/en_releasepaper/content/4486167 |
3. A Novel Method for Wrinkling Analysis of Membrane Inflated Cone in Bending | |||
C.G.Wang,Z.Y.Du,H.F.Tan | |||
Mechanics 04 March 2010 | |||
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Abstract:This paper presents a novel method– Extremum method–to perform wrinkling analysis of the membrane inflated conical cantilever beam subject to bending. Based on this method, the initial wrinkling location and the critical wrinkling load are determined by searching the maximum of the wrinkling factor. The nondimensional analyses show that the initial wrinkles will be initiated at a different location when the taper ratio is higher than the critical value. The critical wrinkling load nonlinearly increases as the taper ratio increases firstly, and then linearly increases after the critical taper ratio. The critical taper ratio reflects the highest load-carrying efficiency of the inflated cone in bending. The comparative analysis shows fairly good agreement between analytical and numerical results. This gives confidence to use extremum method for wrinkling analysis of inflated cone in bending. | |||
TO cite this article:C.G.Wang,Z.Y.Du,H.F.Tan. A Novel Method for Wrinkling Analysis of Membrane Inflated Cone in Bending[OL].[ 4 March 2010] http://en.paper.edu.cn/en_releasepaper/content/40398 |
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