张旭

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:

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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2021

当前位置: 多尺度材料力学 >> 团队新闻 >> 2021

2021-08-10 合作论文“Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects”在期刊Acta Mechanica在线发表

Abstract

This paper proposes weak-form differential quadrature finite elements for strain gradient functionally graded (FG) Euler–Bernoulli and Timoshenko micro-beams. The elements developed both have six degrees of freedom per node and do not require shape functions. The effective material properties are assumed to change continuously along the thickness direction. To guarantee the inter-element continuity conditions, we construct sixth- and fourth-order differential quadrature-based geometric mapping schemes. The two mapping schemes are combined with the minimum potential energy principle to derive their respective element formulations. Several illustrative examples are presented to demonstrate the convergence and adaptability of our elements. Finally, we utilize the latter element to explore the size-dependent vibration characteristics of multiple-stepped FG micro-beams. Numerical results reveal that our elements have distinct convergence and adaptability advantages over the related standard finite elements. The step location, thickness ratio, power-law index, and material length scale parameter have notable impacts on the structural vibration frequencies and mode shapes.


Link

https://doi.org/10.1007/s00707-021-03028-y