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Related Concept Videos

Elasticity01:12

Elasticity

Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
Elastic Collisions: Introduction01:00

Elastic Collisions: Introduction

An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
Elastic Collisions: Case Study01:15

Elastic Collisions: Case Study

Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
Plastic Behavior01:21

Plastic Behavior

A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and reloaded.
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...

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The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
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Glass elasticity from particle trajectories.

Christian L Klix1, Florian Ebert, Fabian Weysser

  • 1University of Konstanz, D-78457 Konstanz, Germany.

Physical Review Letters
|December 11, 2012
PubMed
Summary

Researchers studied glass rigidity using colloidal systems and simulations. They found that a finite static shear modulus upon cooling uniquely marks the fluid-glass transition.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Soft Matter Physics

Background:

  • Amorphous solids, like glass, exhibit unique mechanical properties.
  • Understanding the emergence of rigidity in these systems is crucial for materials science.
  • Elasticity in glasses is complex and not fully understood at the microscopic level.

Purpose of the Study:

  • To determine the wave-vector-dependent elastic dispersion relations in a two-dimensional colloidal glass.
  • To demonstrate the emergence of rigidity in amorphous solids via a well-defined displacement field.
  • To investigate the fluid-glass transition using elastic moduli.

Main Methods:

  • Utilizing positional data from video microscopy of a two-dimensional colloidal system.
  • Employing simulations of hard disks to model amorphous solid behavior.
  • Analyzing wave-vector-dependent elastic dispersion relations.

Main Results:

  • The study successfully determined elastic dispersion relations in glass.
  • The emergence of rigidity, linked to a defined displacement field, was demonstrated in amorphous solids.
  • Continuum elastic theory was recovered at long wavelengths, yielding temperature-dependent shear and bulk moduli.

Conclusions:

  • The onset of a finite static shear modulus upon cooling provides an intuitive and unique marker for the fluid-glass transition.
  • This research offers a new perspective on the mechanical properties and phase transitions of amorphous materials.
  • The findings bridge microscopic behavior with macroscopic elastic properties in glasses.