A path-independent integral for fracture of solids under combined electrochemical and mechanical loadings
Abstract
In this study, we first demonstrate that the J-integral in classical linear elasticity becomes path-dependent when the solid is subjected to combined electrical, chemical and mechanical loadings. We then construct an electro-chemo-mechanical J-integral that is path-independent under such combined multiple driving forces. Further, we show that this electro-chemo-mechanical J-integral represents the rate at which the grand potential releases per unit crack growth. As an example, the path-independent nature of the electro-chemo-mechanical J-integral is demonstrated by solving the problem of a thin elastic film delaminated from a thick elastic substrate.
- Publication:
-
Journal of Mechanics Physics of Solids
- Pub Date:
- November 2014
- DOI:
- 10.1016/j.jmps.2014.06.007
- Bibcode:
- 2014JMPSo..71....1H
