| Issue |
Europhys. Lett.
Volume 63, Number 5, September 2003
|
|
|---|---|---|
| Page(s) | 708 - 714 | |
| Section | Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics | |
| DOI | https://doi.org/10.1209/epl/i2003-00591-8 | |
| Published online | 01 November 2003 | |
Conformal dynamics of precursors to fracture
1
Department of Chemical Physics, The Weizmann Institute of Science Rehovot 76100, Israel
2
Departamento de Física, Facultad de Ciencias Físicas y Matemáticas Universidad de Chile - Casilla 487-3, Santiago, Chile
Received:
8
April
2003
Accepted:
27
June
2003
An exact integro-differential equation for the conformal map from the unit circle to the boundary of an evolving cavity in a stressed 2-dimensional solid is derived. This equation provides an accurate description of the dynamics of precursors to fracture when surface diffusion is important. The solution predicts the creation of sharp grooves that eventually lead to material failure via rapid fracture. Solutions of the new equation are demonstrated for the dynamics of an elliptical cavity and the stability of a circular cavity under biaxial stress, including the effects of surface stress.
PACS: 46.50.+a – Fracture mechanics, fatigue and cracks / 62.20.Mk – Fatigue, brittleness, fracture, and cracks / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.