TITLE:
Peridynamic Solutions for Timoshenko Beams
AUTHORS:
E. Thomas Moyer, Michael J. Miraglia
KEYWORDS:
Peridynamics, Timoshenko Beam, Beam Bending, Dynamic Deformation
JOURNAL NAME:
Engineering,
Vol.6 No.6,
May
26,
2014
ABSTRACT: Peridynamics is a
recently developed formulation for continuum mechanics which describes material
deformation using a nonlocal approach. Unlike Classical Continuum Mechanics
(CCM) where the conservation equations are cast into partial differential
equations, Peridynamics describes the deformation in terms of
integro-differential equations. Additionally, peridynamics permits a natural
length scale that is absent in CCM. This facilitates the modeling of complex
material behavior and fracture which is not dependent on the numerical
discretization length scale. In this paper, we develop a Peridynamic
formulation for a Timoshenko beam. Full details and numerical examples are
presented for both bending and axial behavior. While the development in this
paper is limited to elastic, infinitesimal deformations, the approach can be
extended to finite inelastic deformations.