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

abstract

  • In this paper two different nonlinear elasticity theories that account for (a) geometric nonlinearity and (b) microstructure-dependent size effects are revisited to establish the connection between the two theories. The first theory is based on modified couple stress theory of Yang et al. [1] and the second one is based on Srinivasa-Reddy gradient elasticity theory [2]. The modified couple stress 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 Srinivasa-Reddy theory contains, as a special case, the first one. These two theories are used to derive the governing equations of beams and plates. In addition, a discrete peridynamics idea as an alternative to the conventional peridynamics is also presented. © (2013) Trans Tech Publications, Switzerland.

author list (cited authors)

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

publication date

  • January 1, 2013 11:11 AM