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Performing Microscope-Mounted Y-Shaped Cutting Tests

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Published on: January 20, 2023

Dynamics of cracks in torn thin sheets.

Yossi Cohen¹, 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

Summary

This study explores crack propagation in thin sheets, using a local symmetry principle to predict crack paths. Results show qualitative agreement with experimental findings on crack dynamics.

Area of Science:

Physics
Materials Science
Solid Mechanics

Background:

The behavior of cracks in thin sheets is crucial for understanding material failure.
While elasticity equations for thin plates are established, predicting crack path selection remains a challenge.

Purpose of the Study:

To investigate the dynamics of crack propagation in thin sheets.
To establish a criterion for crack path selection using a generalized principle of local symmetry.
To analyze the crack tip singularity under linear and nonlinear conditions.

Main Methods:

Application of a generalized principle of local symmetry for crack path selection.
Theoretical analysis of crack dynamics in thin elastic plates.
Investigation of crack tip singularity, considering nonlinear effects.

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Main Results:

A criterion for crack path selection was developed based on local symmetry.
The proposed criterion demonstrated qualitative agreement with experimental observations.
The study analyzed the nature of the singularity at the crack tip.

Conclusions:

The generalized principle of local symmetry offers a viable criterion for predicting crack paths in thin sheets.
The findings provide insights into the dynamics of crack propagation and tip singularity.
This research bridges theoretical elasticity with experimental observations in fracture mechanics.