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Related Concept Videos

Generalized Hooke's Law01:22

Generalized Hooke's Law

The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
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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.
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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.
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Published on: April 25, 2019

Heterogeneous relaxation dynamics in amorphous materials under cyclic loading.

Nikolai V Priezjev1

  • 1Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 18, 2013
PubMed
Summary

This study uses molecular dynamics to explore how amorphous glassy materials deform under shear strain. Increased strain amplitude leads to particle clustering and dynamic facilitation, revealing complex material behavior.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Chemistry

Background:

  • Amorphous glassy materials exhibit complex dynamics, particularly under external stress.
  • Understanding heterogeneous dynamics is crucial for predicting material properties and failure.
  • Oscillatory shear strain is a common method to probe material response.

Purpose of the Study:

  • To investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain.
  • To quantify structural relaxation and dynamical heterogeneity.
  • To analyze the effect of strain amplitude on particle mobility and clustering.

Main Methods:

  • Three-dimensional binary Lennard-Jones mixture simulations below the glass transition temperature.
  • Quantification using self-overlap order parameter and dynamic susceptibility.
  • Analysis of mean square displacement, particle hopping, and dynamic facilitation.

Main Results:

  • At low strain amplitudes, materials show subdiffusive behavior and reversible deformation.
  • Higher strain amplitudes induce a transition to diffusive regimes with intermittent particle displacements.
  • Mobile particles form clusters that grow with increasing strain amplitude.
  • Dynamic facilitation becomes more pronounced at larger strain amplitudes.

Conclusions:

  • Oscillatory shear strain significantly alters dynamics in amorphous glasses.
  • Strain amplitude controls the transition from reversible to irreversible deformation.
  • Particle clustering and dynamic facilitation are key mechanisms governing material response under stress.