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Related Concept Videos

Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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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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Shearing Strain01:20

Shearing Strain

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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
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Stress-Strain Diagram - Brittle Materials01:24

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Brittle materials, including glass, cast iron, and stone, exhibit unique characteristics. They fracture without considerable change in their elongation rate, indicating that their breaking and ultimate strength are equivalent. Such materials also show lower strain levels at the point of rupture. The failure in brittle materials predominantly results from normal stresses, as evidenced by the rupture created along a surface perpendicular to the applied load. These materials do not display...
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Shearing Stress01:18

Shearing Stress

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Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
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Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

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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.
The Maximum Shearing Stress Criterion, also known as...
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Transformation of Plane Stress01:18

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Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
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High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal
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How does a thermal binary crystal break under shear?

Tobias Horn1, Hartmut Löwen1

  • 1Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.

The Journal of Chemical Physics
|December 16, 2014
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Summary
This summary is machine-generated.

Shear-induced crystal breakage in binary mixtures reveals a hierarchical scenario. Thermal fluctuations distort strongly coupled particles, enabling weakly coupled ones to escape, leading to defect cascades and crystal failure.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Understanding crystal breakage under shear is crucial for materials science.
  • Previous studies focused less on individual particle behavior in mixed crystals.
  • Thermalized mixed crystals with asymmetric interactions present unique breaking mechanisms.

Purpose of the Study:

  • To investigate shear-induced breaking in a 2D binary model crystal.
  • To elucidate the role of thermal fluctuations and particle interaction asymmetry.
  • To characterize the hierarchical breaking scenario and its contrast with single-component crystals.

Main Methods:

  • Brownian dynamics computer simulations were employed.
  • An equimolar 2D binary model crystal with high interaction asymmetry was used.
  • The orientational dependence of shear direction was explored.

Main Results:

  • A hierarchical breaking scenario was identified, driven by shear and thermal fluctuations.
  • Strongly coupled particles distort first, allowing weakly coupled particles to escape.
  • Defect proliferation and merging lead to final crystal breakage, distinct from melting in one-component crystals.

Conclusions:

  • Shear-induced breakage in asymmetric binary crystals follows a unique hierarchical pathway.
  • Thermal fluctuations play a critical role in initiating the breaking cascade.
  • Results are experimentally verifiable using colloidal systems.