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41.
ZHENG Jian-long 《应用数学和力学(英文版)》2005,26(8):1047-1055
IntroductionPiezoelectric materials have potentials for use in many modern devices and compositestructures. The presence of various defects, such as inclusions, holes, dislocations andcracks, can greatly influence their characteristics and coupled behavio… 相似文献
42.
Srgio Azevedo 《International journal of quantum chemistry》2002,90(6):1596-1599
We consider a bounded quantum mechanical particle with spin ?1/2 and a gyromagnetic ratio g, which is placed in a uniform magnetic field, in a space with a linear topological defect. We obtain the exact expressions for eigenfunctions and eigenvalues, using the approach of the continuum theory of defects, and show the dependence on the topological parameters and potential harmonic. Besides, we study the limits case and obtained the results described in the literature. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002 相似文献
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A piezoelectric screw dislocation in the matrix interacting with a circular inhomogeneity with interfacial cracks under antiplane shear and in-plane electric loading at infinity was dealt with. Using complex variable method, a general solution to the problem was presented. For a typical case, the closed form expressions of complex potentials in the inhomogeneity and the matrix regions and derived explicitly when the interface containsthe electroelastic field intensity factors weresingle crack. The image force acting on the piezoelectric screw dislocation was calculated by using the perturbation technique and the generalized Peach-Koehler formula. As a result, numerical analysis and discussion show that the perturbation influence of the interfacial crack on the interaction effects of the dislocation and the inhomogeneity is significant which indicates the presence of the interfacial crack will change the interaction mechanism when the length of the crack goes up to a critical value. It is also shown that soft inhomogeneity can repel the dislocation due to their intrinsic electromechanical coupling behavior. 相似文献
45.
The interaction of a screw dislocation in the interphase layer with the circular inhomogeneity and matrix was dealt with . An efficient method for multiply connected regions was developed by combining the sectionally subholomorphic function theory, Schwatz symmetric principle and Cauchy integral technique. The Hilbert problem of the complex potentials for three material regions was reduced to a functional equation in the complex potential of the interphase layer, resulting in an explicit series solution . By using the present solution the interaction energy and force acting dislocation were evaluated and discussed. 相似文献
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压电螺型位错和含界面裂纹圆形夹杂的电弹干涉效应 总被引:3,自引:0,他引:3
研究了在无穷远反平面剪切和面内电场共同作用下压电材料基体中一个压电螺型位错与含界面裂纹圆形弹性夹杂的电弹耦合干涉作用.运用复变函数方法,获得了该问题的一般解答.作为典型算例,求出了界面含一条裂纹时,基体和夹杂区域复势函数的封闭形式解以及裂纹尖端应力和电位移场强度因子.应用扰动技术和广义Peach-Koehler公式,导出了位错力的解析表达式.数值结果表明,界面裂纹对压电螺型位错与夹杂的干涉具有强烈扰动效应,当裂纹长度达到临界值时,可以改变其干涉机理.同时,分析说明压电材料中软夹杂可以排斥基体中的位错. 相似文献
48.
《Wave Motion》2016
Bloch theorem is useful for analyzing wave propagation in periodic systems. It has been widely used to determine the energy bands of various translationally-periodic crystals and with the advent of nanoscale structures like nanotubes, it has been extended to account for additional symmetries using group theory. However, this extension is restricted to Hamiltonian systems with analytical potentials. For complex problems, as for engineering structures, the periodic unit cells are often discretized and the Bloch method is restricted to translational periodicity.The goal of this paper is to generalize the direct and transfer-matrix propagation Bloch method to structures with glide and screw symmetries by deriving appropriate boundary conditions. Dispersion relations for a set of reduced problems are compared to results from the classical method, when available. It is found that (i) the dispersion curves are easier to interpret, (ii) the computational cost and error are reduced, and (iii) revisited Bloch method is applicable to structures as the Boerdijk–Coxeter helix that do not possess purely-translational symmetries for which the classical method is not applicable. 相似文献
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常规螺杆泵定子有限元分析 总被引:8,自引:0,他引:8
螺杆泵定子橡胶不仅是易损构件,而且它与转子的配合状况对螺杆泵的工作性能影响显著。目前,还没有能够直接对实际工况下的定子橡胶的变形和受力状态进行测试的有效手段,因此对螺杆泵定子进行有限元分析自然是有益的尝试。重点研究定子橡胶衬垫内轮廓线的变形规律,而应力和应变分布情况仅作为辅助性的分析;对螺杆泵工况的考虑方面,重点研究均匀内压作用的情况,再考虑工作压差以及定子与转子的装配等所引起定子橡胶的变形和受力的变化。利用有限元分析软件Abaqus,对螺杆泵定子进行研究,得出了螺杆泵定子在不同工况下的受力状态和变形规律以及定子材料参数对变形规律的影响。利用此规律可对螺杆泵进行优化设计,提高其工作效率。 相似文献
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以螺旋测微器为基础并加以改进,将微小长度放大并转换为电阻值,通过单臂惠斯通电桥再次放大并测量阻值,从而求得待测物体的长度。与传统螺旋测微器相比,高线性电阻和高灵敏度的惠斯通电桥的使用,使得测量精度和灵敏度有较大提高 相似文献