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Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage

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Applied Mathematics and Mechanics(English Edition) 2016年第3期37卷 289-302页

作者： M.AREFI Department of Solid Mechanics Faculty of Mechanical EngineeringUniversity of Kashan

A non-local solution for a functionally graded piezoelectric nano-rod is pre- sented by accounting the surface effect. This solution is used to evaluate the charac- teristics of the wave propagation in the rod structure. The model is loaded under a two-dimensional （2D） electric potential and an initially applied voltage at the top of the rod. The mechanical and electrical properties are assumed to be variable along the thick- ness direction of the rod according to the power law. The Hamilton principle is used to derive the governing differential equations of the electromechanical system. The effects of some important parameters such as the applied voltage and gradation of the material properties on the wave characteristics of the rod are studied.

关键词： wave propagation non-local elasticity surface effect Love rod model non-homogeneous index voltage

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Surface effects on static bending of nanowires based on non-local elasticity theory

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Progress in Natural Science:Materials International 2015年第5期25卷 520-524页

作者： Quan Wu Alex A.Volinsky Lijie Qiao Yanjing Su Corrosion and Protection Center Key Laboratory for Environmental Fracture (MOE) University of Science and Technology Beijing Department of Mechanical Engineering University of South Florida

The surface elasticity and non-local elasticity effects on the elastic behavior of statically bent nanowires are investigated in the present investigation. Explicit solutions are presented to evaluate the surface stress and non-local elasticity effects with various boundary conditions.Compared with the classical Euler beam, a nanowire with surface stress and/or non-local elasticity can be either stiffer or less stiff, depending on the boundary conditions. The concept of surface non-local elasticity was proposed and its physical interpretation discussed to explain the combined effect of surface elasticity and non-local elasticity. The effect of the nanowire size on its elastic bending behavior was investigated. The results obtained herein are helpful to characterize mechanical properties of nanowires and aid nanowire-based devices design.

关键词： Surface effect non-local elasticity Nanowires Size effect Euler–Bernoulli beam

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THE ANALYSIS OF CRACK PROBLEMS WITHnon-local elasticity

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Applied Mathematics and Mechanics(English Edition) 1999年第2期20卷 143-153页

作者：赵明暤程昌钧刘国宁沈亚鹏 Zhengzhou Research Institute of Mechanical Engineering Zhengzhou P R China Department of Mechanics Shanghai University Shanghai Institute of Applied Mathematics and Mechanics Shanghai P R China Xi'an Jiaotong University Xi'an P R China

In this pager, the displacement discontinuity fundamental solutions ( DDFS) corresponding to the unit concentrated displacement discontinuity for plane problems of non-local elasticity are obtained. Based on the displacement discontinuity boundary integral equation (DDBIE) and boundary element method (BEM), a method of analysis of crack problems in non-local elasticity with generalized purpose is proposed. By using this method, several important problems in fracture mechanics such as edge crack are studied. The study of edge crack shows that the stress concentration factor (SCF) near the crack tip is not a constant but varies with the crack length. With this result the effect of crack length on the fracture roughness K (I c) is studied. The results obtained in this paper are in accordance with the published ones.

关键词： crack boundary integral equation (BIM) boundary element method (BEM) non-local elasticity fundamental solution

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