Improved formulas of extensional and bending stiffnesses of isotropic rectangular nanorods are derived. These formulas reduce to the existing widely used formulas for a special choice of material parameters, i.e., when the surface Poisson's ratio and the bulk Poisson's ratio match thus highlighting the limitation of the existing formulas.
These notes are part of a course on advanced elasticity. The notes recall several phenomena where both elasticity and surface energy are significant, including
The notes also contain a formulation of combined surface energy and elasticity of finite deformation.
Dear all,
I'm trying to simulate the transient behavior of a fluid and I'm finding it very difficult to capture the wetting angle.
To begin with, I only considering the idealized case.
The common approach is to apply the pressure load
p = 2 H γ
where p is the pressure (normal traction) on the surface, H is the Gaussian curvature of the surface, and γ is the surface energy
This load will of course always yield the same equilibrium shape for a viscous fluid, regardless of the value of γ.
Now, comparing with Young's relation, where one obtains a balance containing surface energies for every interface.
Please allow me to note that I have recently published in Philosophical Magazine a paper that presents a general approach to Gibbsian surface thermodynamics that includes a treatment of solid surfaces. It can be accessed through the following link:
http://www.informaworld.com/smpp/content~db=all~content=a792987191
With a shallow chemical etching the roughness with spatial frequency below a critical value grows while the roughness of higher frequency decays.
This is a very rough manuscript but including the original material we used. Any criticism or suggestion is welcome. The only aim of this letter is to reflect the multi-effect of surface energy on material or structure in nanosize scale. Here we report the effect of surface energy on the yield strength of nanoporous materials. The conventional micromechanics method is extended to consider the surface effect and expression of effective yield surface of nanoporous materials in complex stress state is derived.
GRIFFITH AA, The phenomena of rupture and flow in solids. Philosophical Transactions of the Royal Society of London, Sereis A, 221:163-198, 1921.
