The Mechanics of Axisymmetric Indentation Revisited
Final rept. Aug 2012-May 2013
ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD WEAPONS AND MATERIALS RESEARCH DIRECTORATE
Pagination or Media Count:
In this report, we derive new solutions to the singular integrals that appear as stress and displacement components, the Jmn terms, in Sneddons solution 1 to the problem of axisymmetric indentation of an elastic half-space by a rigid flat-ended cylindrical punch. The analytical solutions are used to verify a newly developed peridynamics numerical code 2, 3. The peridynamic solutions for the normal and radial displacements of an elastic half-space under the action of a rigid cylindrical punch compare well with analytical results for these fields. Principal stress and shear trajectories in the elastic half-space under the action of a rigid cylindrical punch are determined by numerical integration of the governing equations our results generally compare well with Sneddons hand-drawn curves, but we find that Sneddons sigma1 trajectories 4 are in error outside the indentation region and near the surface of the half-space.
- Numerical Mathematics