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Related Concept Videos

Shearing Strain01:20

Shearing Strain

217
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...
217
Problem Solving on Stress and Strain01:22

Problem Solving on Stress and Strain

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Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces pull on an object and cause its elongation, like the stretching of an elastic band, it is called tensile stress. When forces cause the compression of an object, it is known as compressive stress. When an object is being squeezed uniformly from all sides, like a submarine in the depths of the ocean, we call this kind of stress bulk stress (or volume...
696
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

247
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.
247
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

157
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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Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

144
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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Plastic Behavior01:21

Plastic Behavior

186
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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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Two-dimensional squishy glass: yielding under oscillatory shear.

Sayantan Ghosh1,2, Rahul Nayak1,2, Satyavani Vemparala1,2

  • 1The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600113, India. pinakic@imsc.res.in.

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Summary

This study reveals that in dense polymer ring systems, decreasing ring stiffness lowers the yield strain, making the material less rigid under shear. Flexible rings show more shape changes and rearrangements during yielding.

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Area of Science:

  • Polymer physics
  • Soft matter science
  • Materials science

Background:

  • Dense glassy systems exhibit complex mechanical responses under stress.
  • Deformable polymer rings present a unique model for studying yielding phenomena.
  • Ring stiffness is a critical parameter influencing the dynamics of these systems.

Purpose of the Study:

  • To investigate the yielding behavior of a two-dimensional dense glass model composed of deformable polymer rings.
  • To understand the role of ring stiffness as a control parameter in yielding.
  • To explore the relationship between shape fluctuations, shape changes, and translational rearrangements under shear.

Main Methods:

  • Simulating a model two-dimensional dense glass of bidisperse, deformable polymer rings.
  • Applying oscillatory shear to probe the yielding response.
  • Analyzing the effect of varying ring stiffness on system dynamics and structure.

Main Results:

  • Increasing ring stiffness constrains shape fluctuations in the quiescent state.
  • Yielding occurs when the thermal assembly loses rigidity, with a threshold yield strain that increases as ring stiffness decreases.
  • Sheared rings exhibit significant shape deviations compared to their unsheared states.

Conclusions:

  • Ring stiffness critically influences the yielding transition in dense polymer systems.
  • Shape changes and translational rearrangements are coupled during shear-induced yielding.
  • This research provides insights into the fundamental mechanisms governing yielding in soft, deformable materials.