On Gradient Elasticity and Discrete Peridynamics with Applications to Beams and Plates Conference Paper

abstract

• In this paper two different nonlinear elasticity theories that account for (a) geometric nonlinearityand (b) microstructure-dependent size effects are revisited to establish the connection betweenthe two theories. The first theory is based on modified couple stress theory of Yang et al. [1]and the second one is based on SrinivasaReddy gradient elasticity theory [2]. The modified couplestress theory includes a material length scale parameter that can capture the size effect in a material.The gradient elasticity theory was developed for finitely deforming hyperelastic cosserat continuum,and it is a generalization of small deformation couple stress theories. The SrinivasaReddy theorycontains, as a special case, the first one. These two theories are used to derive the governing equationsof beams and plates. In addition, a discrete peridynamics idea as an alternative to the conventionalperidynamics is also presented.

authors

• Reddy, Junuthula
• Srinivasa, Arun

published proceedings

• SMART '13: SMART MATERIALS AND STRUCTURES

author list (cited authors)

• Reddy, J. N., Srinivasa, A., Arbind, A., & Khodabakhshi, P.

citation count

• 7

complete list of authors

• Reddy, JN||Srinivasa, A||Arbind, A||Khodabakhshi, P

publication date

• October 2013

publisher

• Trans Tech Publications  Publisher

published in

• Advanced Materials Research  Journal

keywords

• Beams
• Discrete Peridynamics
• Gradient Elasticity
• Material Length Scale
• Modified Couple Stress Theory
• Plates

Digital Object Identifier (DOI)

• 10.4028/www.scientific.net/AMR.745.145

International Standard Book Number (ISBN) 13

• 978-3-03785-760-1

start page

• 145

end page

• 154

volume

• 745

URL

• http://dx.doi.org/10.4028/www.scientific.net/amr.745.145