Modification in Silling's Peridynamic Formulation of Elasticity Theory for Discontinuities and Long-Range Forces
Mathematical Physics
2012-04-05 v2 math.MP
Abstract
We suggest modified version of Silling's peridynamic equation of motion within the framework of Silling's peridynamics formulation (J. Mech. Phys. Solids {\bf 48}, pp.175-209, 2000) of elasticity theory. The modified equation contains an additional damping force term. This term can eliminate artificial oscillations in displacement field at large values of time as predicted by Silling's peridynamic equation.
Keywords
Cite
@article{arxiv.1204.0612,
title = {Modification in Silling's Peridynamic Formulation of Elasticity Theory for Discontinuities and Long-Range Forces},
author = {R. V. R. Pandya},
journal= {arXiv preprint arXiv:1204.0612},
year = {2012}
}
Comments
4 pages. Submitted on April 3, 2012. After submission, I noticed that a few other papers have already suggested inclusion of damping. This paper needs to be improved/changed in view of other available literature and at this moment I am withdrawing this paper