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Related Concept Videos

Plasticity00:58

Plasticity

Plasticity is the property where an object loses its elasticity and undergoes irreversible deformation, even after the deformation forces are eliminated. If a material deforms irreversibly without increasing stress or load, then this is called ideal plasticity. For example, when a force is applied to an aluminum rod, it changes its shape, but it does not return to its original shape once the force is removed. Plastic deformation or ductility is thus a permanent deformation or change in the...
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Intrinsically Disordered Proteins02:18

Intrinsically Disordered Proteins

Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
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Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
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Plastic Behavior01:21

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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 reloaded.

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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Published on: September 26, 2014

Optimization and plasticity in disordered media.

Clara B Picallo1, Juan M López, Stefano Zapperi

  • 1Instituto de Física de Cantabria, CSIC-UC, E-39005 Santander, Spain. picallo@ifca.unican.es

Physical Review Letters
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

Plastic yielding in disordered materials differs from minimum energy surfaces, resulting in lower global yield stress. This phenomenon, observed in the random fuse model, shows persistent differences with increasing sample size.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Disordered media exhibit complex mechanical behaviors, including plastic yielding.
  • Understanding yield surfaces is crucial for predicting material failure.
  • Previous models often relied on minimizing local yield thresholds, akin to energy minimization.

Purpose of the Study:

  • To investigate the plastic yielding of disordered media using the perfectly plastic random fuse model.
  • To compare yield surfaces with minimum energy surfaces.
  • To analyze the resulting global yield stress and surface fluctuations.

Main Methods:

  • Utilized the perfectly plastic random fuse model to simulate plastic yielding.
  • Analyzed the geometry of yield surfaces.
  • Investigated height-height fluctuations of yield surfaces.
  • Developed a theoretical framework to explain observed phenomena.

Main Results:

  • Yield surfaces differ significantly from minimum energy surfaces.
  • Global yield stress is lower than predicted by naive optimization, a difference that persists with increasing sample size.
  • Height-height fluctuations of yield surfaces exhibit multiscaling, unlike minimum energy surfaces.

Conclusions:

  • The optimization problem for plastic yielding is fundamentally different from minimum energy surface calculations.
  • The random fuse model provides a framework for understanding deviations from naive optimization in disordered materials.
  • Multiscaling behavior in yield surface fluctuations highlights unique characteristics of plastic deformation in these systems.