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Rigidity transition in materials: hardness is driven by weak atomic constraints.

Mathieu Bauchy1, Mohammad Javad Abdolhosseini Qomi2, Christophe Bichara3

  • 1Department of Civil and Environmental Engineering, University of California, Los Angeles, California 90095, USA.

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|April 11, 2015
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Summary
This summary is machine-generated.

Material hardness, crucial for devices, can now be predicted using a new model based on atomic constraints. This model extends beyond glasses to all crystalline and glassy materials, offering insights into their strength.

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Area of Science:

  • Materials Science
  • Solid State Physics
  • Computational Materials Science

Background:

  • Material hardness is critical for applications ranging from infrastructure to electronics.
  • Topological constraint theory has been applied to predict hardness in glasses, particularly for protective screens.
  • Existing models often focus on specific material classes like glasses.

Purpose of the Study:

  • To extend the concept of rigidity transition beyond glasses to a wider range of materials.
  • To develop a universally applicable predictive model for material hardness.
  • To understand the fundamental relationship between atomic interactions and material hardness.

Main Methods:

  • Applying topological constraint theory to diverse crystalline and glassy materials.
  • Analyzing the linear relationship between material hardness and the number of angular atomic constraints.
  • Developing a predictive model based on the identified linear correlation.

Main Results:

  • The concept of rigidity transition is applicable to a broader spectrum of materials, not limited to glasses.
  • Material hardness exhibits a linear dependence on the number of angular constraints.
  • Angular constraints are identified as weaker atomic interactions compared to radial ones.

Conclusions:

  • A predictive model for hardness, applicable to both crystalline and glassy materials, has been established.
  • The model's foundation lies in the linear relationship between hardness and angular atomic constraints.
  • This work provides a generalized approach to understanding and predicting material hardness based on atomic structure.