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Related Concept Videos

Elastic Potential Energy01:01

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 only...
Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
Potential Energy01:09

Potential Energy

A conservative force, such as a gravitational or elastic force, gives the body the capacity to do work. This capacity, measured as the potential energy, depends on the body's location or “position” relative to a fixed reference position or datum. The gravitational potential energy is considered zero at the reference point. Suppose a body is located at some vertical distance above a fixed horizontal reference or datum. In that case, the weight of the body has positive gravitational potential...
Potential Energy00:52

Potential Energy

The energy stored by a structure and location of matter in space is called potential energy. For instance, raising a kettlebell changes its spatial location and increases its potential energy. Similarly, a stretched rubber band contains potential energy which, under certain conditions, can be converted into other forms of energy, such as kinetic energy.
Chemical bonds that form attractive forces between atoms also contain potential energy, called chemical energy. When a chemical reaction...
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...
Energy in Simple Harmonic Motion01:23

Energy in Simple Harmonic Motion

To determine the energy of a simple harmonic oscillator, consider all the forms of energy it can have during its simple harmonic motion. According to Hooke's Law, the energy stored during the compression/stretching of a string in a simple harmonic oscillator is potential energy. As the simple harmonic oscillator has no dissipative forces, it also possesses kinetic energy. In the presence of conservative forces, both energies can interconvert during oscillation, but the total energy remains...

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Expression for the granular elastic energy.

Yimin Jiang1, Hepeng Zheng, Zheng Peng

  • 1Central South University, Changsha 410083, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

A new granular solid hydrodynamics model improves predictions of granular material behavior. It enhances stability analysis, elastic wave propagation, and yield surface descriptions for more realistic simulations.

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Continuum Mechanics

Background:

  • Granular solid hydrodynamics (GSH) describes granular media behavior.
  • Existing GSH models have limitations in accuracy and realism.
  • Elastic energy expressions are crucial inputs for GSH.

Purpose of the Study:

  • To propose an improved elastic energy expression for GSH.
  • To address drawbacks of the original GSH elastic energy formulation.
  • To enhance the predictive capabilities of granular material simulations.

Main Methods:

  • Developed a modified elastic energy expression for granular solids.
  • Validated the new expression against experimental and theoretical data.
  • Incorporated multiple yield surfaces into the GSH framework.

Main Results:

  • Increased the maximum stable angle for inclined granular layers to 30°.
  • Accurately reproduced directional and polarization-dependent elastic wave velocities.
  • Integrated Coulomb, Lade-Duncan, and Matsuoka-Nakai yield surfaces alongside Drucker-Prager.

Conclusions:

  • The enhanced GSH model offers a more realistic and comprehensive description of granular media.
  • The improved elastic energy expression resolves key limitations of previous models.
  • This work advances the understanding and simulation of granular solid dynamics.