Computational and experimental results on the evolution of stresses and deformation fields due to indentation from a rigid spherical indenter on a graded substrate are presented.
This expression is used to analyze the deformation fields for a one-dimensional atomic chain, a biaxially stretched thin film containing a surface ledge, and a FCC metal subject to indentation loading from a nanometer-scale indenter.
The quasicontinuum method (two-dimensional) developed by Tadmor et al. [Tadmor EB, Ortiz M, Phillips R. Philos Mag 1996 73:1529] is applied to an indentation process taking account of the atomic structure of the indenter and the substrate subject to indentation.
Shape recovery due to indentation, followed by subsequent heating, is demonstrated for indent depths in the sub-10 nm range.
Finally, the obtained solution is applied to two example cases: a single inhomogeneity in a half space subjected to indentation and a stringer of inhomogeneities in an indented half-space.
The second slope corresponded to indentation of the underlying substrate.
The resistance to indentation deformation of VA-MWCNT carpets was investigated through nanoindentation technique.
Across seven orders of magnitude, indentation hardness was directly proportional to indentation modulus.
