Spiral Buckling of Torque and Axial Force-Prestressed Nanotubes

IF 0.7 4区 材料科学 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Strength of Materials Pub Date : 2024-05-04 DOI:10.1007/s11223-024-00627-7
V. I. Gulyayev, N. V. Shlyun, Yu.O. Zaets
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Abstract

The 3D problem became the basis for modeling the critical states and shapes of bifurcation buckling of longitudinal force and torque-stressed nanotubes. The homogeneous system of ordinary differential equations built on the theory of rectilinear elastic rods was formulated. Its nontrivial solutions result in critical torque or longitudinal force levels at preset values of one of those entities. The closed-form solutions under chosen boundary conditions indicate that only spatial curves as variable diameter spirals with the left or right orientation consistent with that of the torque can be stability loss modes. The spiral is single-wound without longitudinal force, regardless of the tube length. If the tube is also prestressed with axial compression or tension, the bifurcation spiral is multi-wound; its number is determined by the eigenvalue of the equations, which increases with growing forces and tube length.

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扭矩和轴向力预应力纳米管的螺旋屈曲
该三维问题成为模拟纵向力和扭矩应力纳米管分叉屈曲临界状态和形状的基础。以直线弹性杆理论为基础,建立了同质常微分方程系统。其非微分解法导致在其中一个实体的预设值下出现临界扭矩或纵向力水平。所选边界条件下的闭式解表明,只有左或右方向与扭矩方向一致的可变直径螺旋形空间曲线才可能是稳定性损失模式。无论管道长度如何,螺旋都是单绕的,没有纵向力。如果管子还受到轴向压缩或拉伸预应力,则分叉螺旋为多缠绕;其数量由方程的特征值决定,特征值随力和管子长度的增加而增加。
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来源期刊
Strength of Materials
Strength of Materials MATERIALS SCIENCE, CHARACTERIZATION & TESTING-
CiteScore
1.20
自引率
14.30%
发文量
89
审稿时长
6-12 weeks
期刊介绍: Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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