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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...

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Related Experiment Video

Updated: Jun 14, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Stick-slip instabilities and shear strain localization in amorphous materials.

Eric G Daub¹, Jean M Carlson

¹Geophysics Group and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. edaub@lanl.gov

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

Strain localization in amorphous materials significantly impacts frictional slipping stability. Localized deformation causes unstable sliding at higher stiffness than homogeneous deformation, revealing key physics of stick-slip behavior.

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Area of Science:

Condensed Matter Physics
Materials Science
Geophysics

Background:

Amorphous materials exhibit complex deformation behaviors, including strain localization.
Understanding frictional slipping and stick-slip instabilities is crucial for various applications.
Shear Transformation Zone (STZ) theory provides a framework for modeling plastic deformation in amorphous solids.

Purpose of the Study:

To investigate the influence of strain localization on the stability of frictional slipping in dense amorphous materials.
To connect the microscopic physics of strain localization to macroscopic stick-slip dynamics.
To determine the conditions under which steady sliding becomes unstable due to localized deformation.

Main Methods:

Utilized Shear Transformation Zone (STZ) theory to model plastic deformation and effective disorder temperature.
Coupled the STZ model with a noninertial spring slider system to simulate frictional slipping.
Performed linear stability analysis and numerical integration to generate a phase diagram and validate results.

Main Results:

Strain localization leads to unstable frictional sliding at significantly higher spring stiffness compared to homogeneous deformation.
Localized deformation cannot be accurately approximated by homogeneous models, even with adjusted parameters.
Strain localization provides a physical mechanism for irregular stick-slip cycles in specific parameter regimes.

Conclusions:

Strain localization fundamentally alters the stability criteria for frictional slipping in amorphous materials.
The study quantitatively links the internal deformation physics (STZ) to macroscopic frictional phenomena (stick-slip).
Findings highlight the importance of considering deformation localization for accurate modeling of material failure and dynamics.