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一种考虑表面效应的非局部应变梯度壳模型,用于受轴向载荷的磁电热弹性圆柱形纳米壳的屈曲分析。

A nonlocal strain gradient shell model with the surface effect for buckling analysis of a magneto-electro-thermo-elastic cylindrical nanoshell subjected to axial load.

作者信息

Gui Yifei, Li Zhisong

机构信息

School of Mechanical Engineering, Shanghai DianJi University, Shanghai, 201306, China.

出版信息

Phys Chem Chem Phys. 2023 Sep 20;25(36):24838-24852. doi: 10.1039/d3cp02880a.

Abstract

This paper develops a novel size-dependent magneto-electro-thermo-elastic (METE) cylindrical nanoshell which is made of BaTiO-CoFeO materials. To illustrate the newly developed model, the buckling problem of the METE cylindrical nanoshell subjected to temperature changes, initial magnetic and electric potentials, and axial load is analytically solved on the basis of Kirchhoff-Love theory. To model the size dependency effects, nonlocal strain gradient theory (NSGT) and surface elasticity theory are considered simultaneously. In the process, governing differential equations of the shell are derived using Hamilton's principle. Bifurcation conditions for buckling of the METE cylindrical nanoshell are obtained using Navier's method. The influences of the scale parameter, structure parameter, surface effect, temperature change, initial magnetic potential and initial electric potential on buckling behavior are examined in detail. The present model can be used as a basic model in the study of the effects of temperature changes, initial magnetic and electric potentials, and the axial load on the buckling behavior of METE cylindrical nanoshells. The results provide insights for future experimental research and show that METE cylindrical nanoshells are potential candidates for nanocomponents.

摘要

本文开发了一种新型的尺寸依赖型磁电热弹性(METE)圆柱形纳米壳,其由BaTiO-CoFeO材料制成。为了阐述新开发的模型,基于基尔霍夫-洛夫理论,解析求解了METE圆柱形纳米壳在温度变化、初始磁电势和轴向载荷作用下的屈曲问题。为了模拟尺寸依赖效应,同时考虑了非局部应变梯度理论(NSGT)和表面弹性理论。在此过程中,利用哈密顿原理推导了壳的控制微分方程。采用纳维方法获得了METE圆柱形纳米壳屈曲的分岔条件。详细研究了尺度参数、结构参数、表面效应、温度变化、初始磁电势和初始电势对屈曲行为的影响。本模型可作为研究温度变化、初始磁电势和轴向载荷对METE圆柱形纳米壳屈曲行为影响的基础模型。研究结果为未来的实验研究提供了见解,并表明METE圆柱形纳米壳是纳米部件的潜在候选材料。

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