Abstract
A two-dimensional, transient, uncoupled thermoelastic problem of an infinite medium with a circular nano-scale cavity is considered. The analysis is based on the generalized Gurtin and Murdoch model [Murdoch, A.I., 2005. Some fundamental aspects of surface modelling. Journal of Elasticity 80, 33-52.] where the surface of the cavity possesses its own surface tension and thermomechanical properties. A semi-analytical solution for the problem is obtained using a complex variable boundary integral equation method and the Laplace transform. Several examples are presented to study the significance of surface thermomechanical properties and surface tension, and to compare the results obtained using the generalized Gurtin and Murdoch model and a thin interphase layer model.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1834-1848 |
| Number of pages | 15 |
| Journal | International Journal of Solids and Structures |
| Volume | 46 |
| Issue number | 9 |
| DOIs | |
| State | Published - May 1 2009 |
Bibliographical note
Funding Information:This research has been supported by the Doctoral Dissertation Fellowship from the University of Minnesota (E. Gordeliy). The authors are grateful to Prof. H. Stolarski (Department of Civil Engineering, University of Minnesota) for valuable discussions.
Keywords
- Boundary integral equations
- Nano-scale cavity
- Surface tension
- Surface thermoelasticity
- Thermal stress