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Related Concept Videos

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

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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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Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
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The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
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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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Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

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The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
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Plastic Behavior01:21

Plastic Behavior

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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
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Local viscoelasticity at resin-metal interface analyzed with spatial-decomposition formula for relaxation modulus.

Hodaka Mori1, Nobuyuki Matubayasi2

  • 1DENSO Corporation, 1-1, Showa-cho, Kariya, Aichi 448-8661, Japan.

The Journal of Chemical Physics
|September 23, 2019
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A new spatial-decomposition formula analyzes local viscoelasticity by decomposing the relaxation modulus. Strong resin-metal adhesion creates a viscous layer, impacting stress-stress correlations at the interface.

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Area of Science:

  • Materials Science
  • Polymer Physics
  • Computational Chemistry

Background:

  • Understanding interfacial viscoelasticity is crucial for material design.
  • Existing models often struggle to capture complex behaviors at material interfaces.

Purpose of the Study:

  • To introduce a spatial-decomposition formula for analyzing local viscoelasticity.
  • To investigate the impact of adhesion strength on resin layer formation and dynamics at a resin-metal interface.

Main Methods:

  • Developed a spatial-decomposition formula for the relaxation modulus.
  • Applied the formula to the Kremer-Grest model at a resin-metal interface.
  • Analyzed spatially decomposed stress-stress time correlation functions.

Main Results:

  • Strong resin-metal interaction leads to a resin layer significantly larger than segment size.
  • Interfacial effects are localized near the wall only with weak adhesion.
  • The layer region exhibits higher viscosity (longer stress-stress correlation times) under strong adhesion.

Conclusions:

  • The spatial-decomposition formula provides a general framework for interfacial viscoelasticity analysis.
  • Adhesion strength dictates the relationship between stress-stress correlations and interfacial structure.
  • The study reveals how segment-scale interactions influence local stress dynamics at interfaces.