Mechanical Properties of Materials Considering Surface Effects
We discuss the influence of surface effects on the effective properties of materials such as the effective bending stiffness of plates or the stiffness of rods. The interest to the investigation of the surface effects is recently grown with respect to nanomechanics. The surface effects play an important role for such nanosized materials as films, nanoporous materials, etc. We consider two models of surface effects. The first one is based on the concept of surface stresses which are the generalization of the surface tension for solids. The second one (more classical approach) is based on the consideration of the thin surface layer with mechanical properties different from the bulk material. Within the framework of these models we present the effective stiffness properties of plates, shells, and nanoporous rods.
KeywordsSurface stresses Nanoshell Nanoplate Nanorod Nanoporous materials Effective stiffness
The second author was supported by the DFG grant No. AL 341/33-1 and by the RFBR with the grant No. 09-01-00459.
- 15.Wang, Z.Q., Zhao, Y.P.: Self-instability and bending behaviors of nano plates. Acta Mech. Solida Sin. 22(6), 630–643 (2009)Google Scholar
- 21.Christensen, R.M.: Mechanics of Composite Materials. Dover, New York (2005)Google Scholar
- 22.Jones, R.M.: Mechanics of Composite Materials. Taylor & Francis, Philadelphia (1999)Google Scholar
- 23.Schwarz, M. (ed.): Encyclopedia of Smart Materials, vol. 1, 2. Wiley, New York (2003)Google Scholar