个人信息Personal Information
学历：博士研究生毕业
学位：工学博士学位
性别：男
学科：力学. 航空宇航科学与技术. 材料科学与工程. 机械工程. 冶金工程. 先进制造. 航空工程. 材料工程. 冶金工程. 机械工程. 固体力学
多尺度与微纳米力学，梯度结构材料，界面力学，固体本构关系，应变梯度理论，晶体塑性有限元，离散位错动力学，分子动力学，高熵合金，大数据与机器学习，材料基因，极端力学，高性能材料
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2020-09-17 多尺度材料力学研究组与张波合作发表的论文“Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme”在期刊 European Journal of Mechanics - A/Solids 上在线发表。
Highlights
•Surface energy-enriched gradient elastic Kirchhoff plate model is developed.
•Detailed variational formulations for gradient elastic Kirchhoff plates are presented.
•C2-type DQ-based finite element is constructed to solve the resulting sixth-order boundary value problems.
•Combined effects of three physical factors on the static and vibration behavior of micro-plates are examined.
•Gradient elasticity effects can not only change the vibration frequencies but also the vibration mode shapes.
Abstract
In this work, we propose a non-classical Kirchhoff plate model to investigate surface energy and gradient elasticity effects on the static bending and free vibration behavior of micro-plates. Gurtin-Murdoch surface elasticity theory and a single-parameter gradient elasticity theory are combined to capture three types of size effects. The equations of motion and related boundary conditions of the model are obtained by the energy variational principle. A C²-type differential quadrature finite element is constructed to solve the resulting sixth-order boundary value problem of micro-plates. Theoretical model validation and solution method verification are made through comparison with the available literature. Finally, the new plate model is applied to analyze the mechanical behavior of micro-plates and to carry out detailed parametric studies. Our results demonstrate that the combined effects of three physical reasons can result in not only the stiffening or softening behavior of static deflections and vibration frequencies but also the significant change in the vibration mode shapes of micro-plates. Further, the introduction of strain gradient effect can introduce a boundary layer at the simply supported edge.
Link
https://doi.org/10.1016/j.euromechsol.2020.104118