硕士生导师
个人信息Personal Information
教师英文名称：Bo ZHANG
学历：博士研究生毕业
学位：工学博士学位
办公地点：四川省成都市高新西区西部园区西南交通大学犀浦校区
性别：男
毕业院校：华中科技大学
学科：一般力学与力学基础. 固体力学
所在单位：力学与航空航天学院
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Xiangyu Li, Chunfa Wang, Bo Zhang, Jianghong Yuan & Huaiping Tang*. New criteria for nanoscale slender beams and thin plates: Low frequency domain of flexural wave
发表刊物：Mechanics of Advanced Materials and Structures
关键字：Eringen's nonlocal elasticity theory; nanoscale; slender beams; thin plates; wave propagation; criteria
摘要：The classical Euler–Bernoulli beam model and Kirchhoff plate model are very useful on the macroscopic scale. In the context of Eringen's nonlocal elasticity theory, this article aims to develop the criteria of the applicability of nanoscale Euler–Bernoulli beam and Kirchhoff plate models based on the Timoshenko beam model and the Mindlin plate model via the wave propagation theory. The corresponding governing differential equations for the nanoscale Timoshenko beam and Mindlin plate are derived by the Hamilton’s principle, and the dispersion equations of wave are then obtained. By applying Taylor expansion to the corresponding solutions of the dispersion equations, new criteria are developed, simultaneously taking into account the effects of nonlocal parameters and material properties. When the nonlocal parameter is set to zero, the present criteria may be readily degenerated to their macroscopic counterparts. According to the present criteria, this article systematically evaluates the existing studies in literature. Various works in literature did not consider the effect of the nonlocal parameter, and hence, failed to satisfy the application conditions of the Euler–Bernoulli beam and Kirchhoff plate models on the nanoscale. The work in this article is of scientific significance to various studies on nanostructures.
学科门类：理学
文献类型：J
卷号：20
期号：6
页面范围：1-13
是否译文：否
发表时间：2022-06-22
收录刊物：SCI