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Related Concept Videos

Metallic Solids02:37

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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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In prismatic beams subject to arbitrary transverse loading, It is essential to analyze the interaction between shear forces and bending moments in order to understand stress distribution and ensure structural integrity. The highest normal or bending stress occurs at the outer fibers of the beam, decreasing linearly to zero at the neutral axis. In contrast, shear stress peaks at the neutral axis and diminishes toward the outer surfaces.
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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
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Stress Concentrations01:13

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The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
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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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First-principles local stress in crystalline and amorphous metals.

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Atomic level stress offers a new way to understand material properties beyond atomic size. This method reveals significant internal stresses even in relaxed materials, aiding density functional calculations.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Computational Materials Science

Background:

  • Atomic size is a common but imprecise metric for material properties.
  • Existing concepts may limit advances in materials understanding.
  • A precise definition of atomic size is often difficult and debated.

Purpose of the Study:

  • Introduce atomic level stress as a novel interpretive tool.
  • Utilize solid mechanics principles with density functional calculations.
  • Enhance the understanding of material properties.

Main Methods:

  • Applying atomic level stress analysis.
  • Using density functional calculations.
  • Examining atomic level stresses in liquids, glasses, ordered, and disordered crystals.

Main Results:

  • Atomic level stress provides a new analytical perspective.
  • Substantial atomic level stresses exist even in relaxed, ordered materials.
  • This concept applies to various material states, including liquids and glasses.

Conclusions:

  • Atomic level stress complements existing concepts like ionicity and covalency.
  • It expands the toolkit for interpreting density functional calculation results.
  • Offers deeper insights into material behavior beyond macroscopic stress.