Accession Number:

ADA588448

Title:

The Mechanics of Axisymmetric Indentation Revisited

Descriptive Note:

Final rept. Aug 2012-May 2013

Corporate Author:

ARMY RESEARCH LAB ABERDEEN PROVING GROUND MD WEAPONS AND MATERIALS RESEARCH DIRECTORATE

Report Date:

2013-07-01

Pagination or Media Count:

30.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE