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Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

665
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...
665

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Fabrication of Uniform Nanoscale Cavities via Silicon Direct Wafer Bonding
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Shear instability in nanoporous Si.

Joo-Hyoung Lee1

  • 1School of Materials Science and Engineering, Gwangju Institute of Science and Technology , Gwangju, Republic of Korea.

Nano Letters
|August 26, 2014
PubMed
Summary
This summary is machine-generated.

Nanoporous silicon (np-Si) exhibits negative elastic stiffness under shear when pore density exceeds a threshold. This finding is crucial for understanding structural stability in np-Si applications.

Keywords:
Nanoporous Sidensity functional theoryphase transformationshear instability

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Area of Science:

  • Materials Science
  • Solid State Physics
  • Computational Materials Science

Background:

  • Nanoporous silicon (np-Si) is a promising material with tunable properties.
  • Understanding the mechanical behavior of np-Si is critical for its integration into devices.

Purpose of the Study:

  • To investigate the elastic properties of nanoporous silicon (np-Si) using first-principles calculations.
  • To determine the critical pore density at which elastic stiffness becomes negative under shear strain.

Main Methods:

  • First-principles density functional theory (DFT) calculations were employed.
  • Systematic variation of pore size and spacing to analyze elastic stiffness.
  • Total energy calculations to understand the origin of stiffness changes.

Main Results:

  • Elastic stiffness of np-Si under shear strain perpendicular to pore axis becomes negative above a critical pore volume fraction.
  • Negative stiffness is attributed to enhanced strain energy and bond rotation near pore surfaces.
  • Shear sensitivity induces a phase transformation from tetragonal (D2d) to orthorhombic (C2v) structure.

Conclusions:

  • The mechanical stability of np-Si is highly dependent on pore geometry and density.
  • External strain effects from substrates or electrical leads must be considered in np-Si-based applications.
  • The observed phase transformation highlights the complex mechanical response of nanoporous materials.