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Measuring spatial distribution of the local elastic modulus in glasses
Hideyuki Mizuno1, Stefano Mossa, Jean-Louis Barrat
1Laboratory for Interdisciplinary Physics, UMR 5588, Université Grenoble 1 and CNRS, 38402 Saint Martin d'Hères, France. hmizuno@ujf-grenoble.fr
Summary
This study compares three methods for measuring the local elastic modulus in glasses. Differences arise due to nonaffine deformations, impacting the accuracy of elastic property assessments in disordered materials.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Solid Mechanics
Background:
- Glasses possess spatially inhomogeneous elastic properties.
- Local elastic moduli are crucial for understanding glass behavior.
- Existing methods for evaluating local elastic modulus have limitations.
Purpose of the Study:
- To compare three distinct methods for measuring the local elastic modulus in glasses.
- To identify the impact of nonaffine deformations on these measurement techniques.
- To provide insights into the most reliable method for assessing local elastic properties.
Main Methods:
- Measurement of local stress-local strain curves to derive local elastic modulus.
- Calculation of local modulus using global strain under an affine strain assumption.
- Application of a recently introduced, computationally inexpensive technique.
Main Results:
- Significant differences were observed among the three evaluated methods.
- Nonaffine deformations were identified as the primary cause for these discrepancies.
- The study highlights the sensitivity of elastic modulus measurements to deformation types.
Conclusions:
- The choice of method significantly influences the measured local elastic modulus in glasses.
- Accounting for nonaffine deformations is essential for accurate elastic property characterization.
- Further research is needed to refine techniques for heterogeneous materials.
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