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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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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.
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Residual Stresses in Bending01:18

Residual Stresses in Bending

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In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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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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Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

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Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
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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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Related Experiment Video

Updated: Mar 13, 2026

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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Fringe instability in constrained soft elastic layers.

Shaoting Lin1, Tal Cohen2,3, Teng Zhang1,4

  • 1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139.

Soft Matter
|October 13, 2016
PubMed
Summary
This summary is machine-generated.

Researchers discovered a new mechanical instability in soft elastic layers called fringe instability. This phenomenon occurs when layer thickness is comparable to width, leading to surface undulations without debonding, advancing soft material mechanics.

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Area of Science:

  • Soft Matter Physics
  • Mechanical Engineering
  • Materials Science

Background:

  • Soft elastic layers are common in biology and engineering.
  • Mechanical instabilities like cavitation, interfacial, and fingering modes occur when these layers are stretched.
  • Existing research primarily focuses on thin layers where thickness is much smaller than length and width.

Purpose of the Study:

  • To report and characterize a novel mechanical instability in soft elastic layers.
  • To investigate instability modes in constrained elastic layers where thickness is comparable to width.
  • To provide a quantitative explanation and scaling laws for this new instability.

Main Methods:

  • Experimental investigations of soft elastic layers under tension.
  • Theoretical modeling to explain the observed instability.
  • Numerical simulations to complement experimental and theoretical findings.

Main Results:

  • A new instability, termed fringe instability, was identified in elastic layers with thickness comparable to width.
  • This instability involves periodic undulations of free surfaces in fringe portions without debonding.
  • Scaling laws for critical stress, critical strain, and wavelength of the fringe instability were derived.
  • Fringe instability differs from elastic fingering instability by lacking snap-through buckling.

Conclusions:

  • The fringe instability represents a new mode of mechanical behavior in soft elastic materials.
  • Understanding fringe instability has implications for designing biological and engineered adhesives and joints.
  • This discovery expands the knowledge of mechanical instabilities in soft matter systems.