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Elasticity

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...

Elasticity in Concrete

Elasticity in Concrete

Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear...

Elastic Potential Energy

Elastic Potential Energy

Elastic potential energy is the energy stored as a result of the deformation of an elastic object, such as the stretching of a spring. An object is elastic if it returns to its original shape and size after being deformed.
Potential energy is also associated with the elastic force exerted by an ideal spring. The work done by this force can be represented as a change in the elastic potential energy of the spring. Thus, the work done by a perfectly elastic spring, in one dimension, depends...

Strain and Elastic Modulus

Strain and Elastic Modulus

The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...

Elastic Collisions: Introduction

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 Study

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...

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Elastic Staining on Paraffin-embedded Slides of pT3N0M0 Gastric Cancer Tissue

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Elastic Purcell Effect.

Mikołaj K Schmidt^1,2, L G Helt³, Christopher G Poulton^1,4

¹Centre for Ultrahigh bandwidth Devices for Optical Systems (CUDOS), Australia.

Physical Review Letters

|August 25, 2018

Summary

This summary is machine-generated.

We introduce an elastic Purcell effect where nanoparticles act as tunable antennas for elastic waves. This work provides a new framework for controlling vibrations in optomechanical systems.

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Single Molecule Methods for Monitoring Changes in Bilayer Elastic Properties

Single Molecule Methods for Monitoring Changes in Bilayer Elastic Properties

Published on: November 3, 2008

Area of Science:

Physics
Materials Science
Nanotechnology

Background:

The Purcell effect enhances light emission via modification of local density of optical states.
Understanding and controlling elastic wave interactions at the nanoscale is crucial for optomechanics.

Purpose of the Study:

To introduce and theoretically describe an elastic analog of the Purcell effect.
To demonstrate that spherical nanoparticles can function as tunable elastic antennas.
To provide a framework for controlling elastic energy dissipation in nanoresonators.

Main Methods:

Theoretical introduction of elastic counterparts to electromagnetic parameters (local density of elastic states, elastic Purcell factor, effective volume).
Analysis of a submicron gold sphere as a model elastic antenna operating at GHz frequencies.
Calculation of elastic Purcell factors for different vibrational modes.

Main Results:

Spherical nanoparticles can act as tunable and robust antennas for localized elastic sources.
Elastic counterparts of electromagnetic parameters effectively describe the elastic Purcell effect.
Low-order shear and mixed modes in gold spheres exhibit significant elastic Purcell factors.

Conclusions:

The developed formalism allows for enhanced control over vibration dissipation in optomechanical systems.
This work bridges classical and quantum mechanical treatments of localized phonons.
Elastic Purcell effect offers new avenues for manipulating elastic energy at the nanoscale.