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Related Concept Videos

Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

138
The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
138
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

313
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
313
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

202
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
202
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

180
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
180
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

411
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
411
Plastic Deformation in Circular Shafts01:20

Plastic Deformation in Circular Shafts

221
When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
221

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Related Experiment Video

Updated: Aug 16, 2025

Directed Cellular Self-Assembly to Fabricate Cell-Derived Tissue Rings for Biomechanical Analysis and Tissue Engineering
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Directed Cellular Self-Assembly to Fabricate Cell-Derived Tissue Rings for Biomechanical Analysis and Tissue Engineering

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Charged elastic rings: deformation and dynamics.

Zhenwei Yao1

  • 1School of Physics and Astronomy, Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|December 21, 2022
PubMed
Summary
This summary is machine-generated.

Charged elastic rings exhibit unexpected instability, maintaining sinusoidal shapes in their lowest energy states. Electrostatic forces influence their dynamics and dominant frequencies when disturbed.

Keywords:
classical dynamicselastic deformationelectrostatic force

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Area of Science:

  • Physics
  • Materials Science
  • Applied Mathematics

Background:

  • Elastic rings are fundamental systems in physics and engineering.
  • Understanding the behavior of charged materials is crucial for developing new technologies.

Purpose of the Study:

  • To investigate the stability and dynamic behavior of charged elastic rings.
  • To analyze the influence of electrostatic forces on the ring's configurations and frequencies.

Main Methods:

  • High-precision numerical simulations.
  • Analytical perturbation calculations.
  • Classical mechanics analysis.

Main Results:

  • Charged elastic rings demonstrate counter-intuitive instability.
  • Sinusoidal deformations persist in the lowest-energy configurations.
  • Electrostatic forces modulate dominant frequencies under random disturbance.

Conclusions:

  • The study reveals the complex interplay between elasticity and electrostatic forces in ring systems.
  • Insights into the role of long-range forces in matter organization and dynamics were gained.