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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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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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Yield stress in amorphous solids: a mode-coupling-theory analysis.

Atsushi Ikeda1, Ludovic Berthier1

  • 1Laboratoire Charles Coulomb, UMR 5221, CNRS and Université Montpellier 2, Montpellier, France.

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

Mode-coupling theory accurately predicts yield stress in hard-sphere glasses but struggles with soft and metallic glasses due to particle interactions. This impacts understanding amorphous material rheology.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Rheology

Background:

  • Yield stress is a critical property of amorphous materials, challenging theoretical analysis due to nonlinear responses.
  • Mode-coupling theory (MCT) offers a framework for predicting flow curves and yield stress in materials undergoing glass transitions.

Purpose of the Study:

  • To evaluate the predictive power of mode-coupling theory for the yield stress of various amorphous solids.
  • To compare MCT predictions with numerical simulations for hard-sphere, soft, and metallic glasses.

Main Methods:

  • Utilizing mode-coupling theory to analyze theoretical models of disordered solids.
  • Comparing theoretical predictions with numerical measurement outcomes for different glass types.

Main Results:

  • MCT qualitatively captures the entropic yield stress in hard-sphere glasses and its density dependence.
  • MCT shows limitations in describing the yield stress of soft and metallic glasses, which arise from particle interactions.
  • Similar shortcomings were observed in MCT's description of caging dynamics in the resting glass phase.

Conclusions:

  • Mode-coupling theory is effective for entropic yield stress in some glasses but less so for interaction-driven yielding in others.
  • The study highlights the limitations of MCT in fully explaining the nonlinear rheology of diverse amorphous materials.