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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Plasticity-induced anisotropy in amorphous solids: the Bauschinger effect.

Smarajit Karmakar1, Edan Lerner, Itamar Procaccia

  • 1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
PubMed
Summary

This study explores how amorphous solids remember the direction of prior plastic deformation. The researchers identify a measurable order parameter that captures this memory effect. They track how this parameter changes along the stress-strain curve and propose that it and its probability distribution are necessary for modeling plasticity. The findings suggest that the material’s memory is encoded in the parameter’s behavior, which is essential for understanding the Bauschinger effect in amorphous solids.

Keywords:
Plasticity-induced anisotropyBauschinger effectAmorphous solidsElastoplasticity theory

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Area of Science:

  • Materials science
  • Mechanical engineering
  • Plasticity theory

Background:

Amorphous solids display complex mechanical behavior when subjected to plastic deformation. Prior research has shown that these materials retain memory of prior strain directions. However, the specific mechanism responsible for this memory remains unclear. No prior work had resolved how the material encodes directional memory. This gap motivated the current investigation. The study seeks to identify a measurable order parameter that captures this memory effect. Understanding this could refine theories of plasticity in amorphous systems. The Bauschinger effect is a known phenomenon but lacks a complete theoretical framework. The current work aims to bridge this theoretical and experimental divide.

Purpose Of The Study:

The study aims to determine the order parameter responsible for directional memory in amorphous solids after plastic deformation. This is motivated by the need to understand how materials retain memory of strain direction. The Bauschinger effect is central to this investigation. The researchers propose that this parameter must be included in elastoplasticity theories. The study addresses a gap in current theoretical models of amorphous solids. The goal is to identify a measurable quantity that tracks memory effects. The focus is on the material’s response to subsequent strain in different directions. The work seeks to clarify the underlying physics of plasticity-induced anisotropy.

Main Methods:

The researchers analyze the stress-strain behavior of amorphous solids after plastic deformation. They track the material’s response to strain in multiple directions. The study uses a combination of theoretical modeling and experimental data. The focus is on identifying a measurable order parameter. The parameter’s trajectory along the stress-strain curve is examined. The probability distribution function of the parameter is also discussed. The approach involves comparing responses to different strain directions. The study emphasizes the need for a parameter that captures directional memory.

Main Results:

The study identifies a measurable order parameter responsible for directional memory in amorphous solids. This parameter tracks the material’s response to prior strain directions. The parameter’s trajectory along the stress-strain curve is well-defined. The probability distribution function of the parameter is also characterized. The findings suggest that this parameter is essential for modeling plasticity. The material’s memory is encoded in the parameter’s distribution. The results support the inclusion of this parameter in elastoplasticity theories. The study provides a framework for understanding the Bauschinger effect.

Conclusions:

The study concludes that a measurable order parameter is responsible for directional memory in amorphous solids. This parameter must be included in theories of elastoplasticity. The findings support the idea that memory is encoded in the parameter’s distribution. The material’s response to strain direction is captured by this parameter. The study does not assign essentiality to the parameter but proposes its necessity. The results suggest that this parameter is a key component of elastoplasticity models. The work provides a framework for understanding the Bauschinger effect. The conclusions are based on the authors’ stated claims and experimental evidence.

The study identifies a measurable order parameter that tracks directional memory in amorphous solids after plastic deformation.

The material’s memory is encoded in the trajectory and distribution of a specific order parameter along the stress-strain curve.

The probability distribution captures the variability in the material’s memory effect, which is essential for modeling plasticity.

The stress-strain curve is used to track the trajectory of the order parameter and its response to different strain directions.

The study proposes that the identified parameter and its distribution are necessary components of elastoplasticity models.

The Bauschinger effect is used to demonstrate how materials retain memory of prior strain directions through the identified order parameter.