通过收缩一个曲的边界纹状纹
Anshuman S Pal1, Luka Pocivavsek2, Thomas A Witten1
1James Franck Institute and Dept. of Physics, University of Chicago, IL, USA. t-witten@uchicago.edu.
Soft matter
|April 5, 2024
概括
在二维材料上,曲线边界的向内收缩会产生新的纹模式. 这种方法为可部署的结构提供了强大的,低能耗的变形路径,需要最小的预模拟.
科学领域:
- 材料机械学 材料机械学
- 材料科学 材料科学 材料科学
- 应用物理 应用物理
背景情况:
- 2D材料的单模变形对于可部署结构至关重要.
- 现有的方法,比如Miura-ori折叠,往往需要广泛的预模式.
- 材料变形的强度和效率是关键的设计考虑因素.
研究的目的:
- 为了研究2D材料中的纹图案形成,这些材料经过了向内边界收缩.
- 探索一种新的方法,以最小的预模式实现单模样变形.
- 分析由此产生的纹模式的结构特征和能量格局.
主要方法:
- 使用有限元分析来模拟薄圆环状板的收缩.
- 模拟了由此产生的纹结构,作为形板块和三角面的同度配置.
- 在变形过程中分析了与曲和拉伸相关的能量.
主要成果:
- 曲线边界的向内收缩产生了一个细微的,新的纹图案.
- 观察到的模式是很好地接近一个异度结构.
- 变形局限于低曲的能量通道,最大限度地减少拉伸.
- 这一过程实现了单模特征,并且显著减少了预先设计.
结论:
- 边界诱导的曲为控制板状形态提供了一种新的方法.
- 这种方法为创建复杂的二维材料结构提供了强大且节能的途径.
- 最少的预先设计使得这种技术非常适用于可部署的结构.
相关概念视频
Deformations in a Transverse Cross Section
189
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
189
Bending of Curved Members - Strain Analysis
136
The mechanics of deformation in curved members, such as beams or arches, under bending moments, involve complex responses. When such a member, symmetric about the y-axis and shaped like a segment of a circle centered at point C, is subjected to equal and opposite forces, its curvature and surface lengths change significantly. This alteration results in the shift of the curvature's center from C to C', indicating a tighter curve.
The important part of bending analysis for such a member...
The important part of bending analysis for such a member...
136
Deformations in a Symmetric Member in Bending
166
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
166
Bending of Curved Members - Neutral Surface
179
In curved beams, unlike straight beams, the stress distribution across the cross-section is not uniform due to the beam's curvature. This non-uniformity arises because the neutral axis, where stress is zero, does not align with the centroid of the section. In a curved beam, the strain varies along the section as a function of the distance from the neutral axis.
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within...
179
Fascicle Arrangement in Skeletal Muscles
1.9K
Fascicles are bundles of muscle fibers in a skeletal muscle. Muscle fascicle arrangement is directly associated with the power and range of motion of various muscles. The configuration of these fascicles can vary, leading to different functional outcomes.
The four primary types of muscle based on fascicle arrangement are:
The four primary types of muscle based on fascicle arrangement are:
1.9K
Unsymmetric Bending
330
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
330


