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Related Concept Videos

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...
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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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It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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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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Temperature Dependent Deformation01:12

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
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A method to extract slip system dependent information for crystal plasticity models.

Dylan Agius1, Abdullah Al Mamun1,2, Christopher Truman1

  • 1Solid Mechanics Research Group, Department of Mechanical Engineering, University of Bristol, United Kingdom.

Methodsx
|July 12, 2022
PubMed
Summary

A new tool introduces length scale dependency into crystal plasticity simulations by analyzing dislocation pile-up at grain boundaries, potentially explaining the Hall-Petch effect. This method offers an alternative to gradient-based models for improved material deformation simulation.

Keywords:
Crystal plasticityGrain boundaryGrain size effectMisorientationSlip distanceSlip system interaction

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Area of Science:

  • Materials Science
  • Computational Mechanics
  • Solid Mechanics

Background:

  • Classical crystal plasticity models lack size effect, meaning grain size doesn't influence simulated deformation.
  • Existing advancements include gradient-based constitutive models for length scale dependency.
  • A novel approach is needed to incorporate size effects, particularly related to grain boundary phenomena.

Purpose of the Study:

  • To present a computational tool that implements length scale dependency in classical crystal plasticity simulations.
  • To provide an alternative mechanism for size effect by modeling dislocation pile-up at grain boundaries.
  • To enable the development of constitutive models incorporating complex grain boundary features.

Main Methods:

  • The tool calculates slip distance in adjacent grains for each slip system, assuming slip spans the grain.
  • It can perform calculations once at the start or dynamically during simulations with large deformations.
  • Implementation involves a Fortran subroutine integrated with Python code for microstructure data extraction (e.g., from DREAM.3D).

Main Results:

  • The tool successfully implements a length scale dependency by considering slip pile-up at grain boundaries.
  • Computational cost is minimal for static analysis and depends on model complexity for dynamic analysis.
  • The extracted data (slip distance, distance from boundary, slip system interactions) can be utilized in various crystal plasticity models.

Conclusions:

  • The developed tool offers a viable method to incorporate size effects into crystal plasticity simulations.
  • It provides a new perspective on the Hall-Petch effect through modeling grain boundary slip.
  • The tool's modular design allows integration with existing classical and gradient-based crystal plasticity frameworks and can be adapted for further data extraction.