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


  • 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.

published proceedings


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