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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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A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
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In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
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Shear Softening in a Metallic Glass: First-Principles Local-Stress Analysis.

I Lobzenko1, Y Shiihara1, T Iwashita2

  • 1Toyota Technological Institute, Hisakata, Tempaku-ku, Nagoya 468-8511, Japan.

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Summary
This summary is machine-generated.

Metallic glasses exhibit elastic properties, but their atomic origins are unclear. This study reveals that charge transfer and copper atom displacement during shear strain soften the shear modulus in Cu-Zr metallic glass.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Computational Materials Science

Background:

  • Metallic glasses possess unique elastic properties under stress.
  • The atomic-level mechanisms governing these elastic properties remain largely unexplored.
  • Understanding these mechanisms is crucial for designing advanced materials.

Purpose of the Study:

  • To elucidate the atomic-level origin of elastic properties in metallic glasses.
  • To investigate the role of charge transfer and atomic rearrangements in shear modulus softening.
  • To analyze the behavior of constituent elements under shear strain.

Main Methods:

  • Utilizing ab initio molecular dynamics simulations.
  • Applying shear strain to Cu50Zr50 metallic glass.
  • Analyzing changes in charge distribution and atomic positions.

Main Results:

  • Heterogeneous stress relaxation leads to increased charge transfer from Zr to Cu atoms.
  • This charge transfer enhances the softening of the shear modulus.
  • The Zr subsystem shows stiff behavior, while Cu atom displacements induce stress drop and softening.
  • Non-affine deformation causes shifts in atomic positions and changes in short-range order.

Conclusions:

  • The elastic properties of metallic glasses are directly linked to atomic-level phenomena like charge transfer and element-specific deformation.
  • Copper atom mobility plays a critical role in the shear modulus softening of Cu-Zr metallic glass.
  • This research provides fundamental insights into the mechanical behavior of metallic glasses at the atomic scale.