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

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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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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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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...
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Protocol dependence for avalanches under constant stress in elastoplastic models.

Tristan Jocteur1, Eric Bertin1, Romain Mari1

  • 1LIPhy, Univ. Grenoble-Alpes, CNRS, 38000 Grenoble, France.

Physical Review. E
|March 19, 2025
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Summary
This summary is machine-generated.

Plastic avalanches in amorphous solids show jerky dynamics near yielding. This study reveals that avalanche statistics critically depend on the chosen stress-controlled protocol, impacting their universality in elastoplastic models.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Rheology

Background:

  • Amorphous solids exhibit jerky dynamics near yielding, characterized by plastic avalanches.
  • Previous studies assumed different triggering protocols for avalanche statistics were equivalent.

Purpose of the Study:

  • To investigate the protocol dependence of plasticity avalanche statistics in yield-stress fluids.
  • To examine how different stress-controlled protocols affect avalanche properties in elastoplastic models.

Main Methods:

  • Two-dimensional simulations of an elastoplastic model.
  • Analysis of avalanche statistics under various stress-controlled triggering protocols.

Main Results:

  • Avalanche size distribution exponents strongly depend on the chosen stress-controlled protocol.
  • Identified a specific stress-controlled protocol yielding avalanches with distinct fractal and dynamical exponents.
  • Confirmed a mean-field scenario in finite dimensions regarding protocol dependence.

Conclusions:

  • Avalanche universality in elastoplastic models requires cautious interpretation due to protocol dependence.
  • The choice of control parameter and protocol significantly influences observed avalanche statistics.