Location of Repository

Initial tension in randomly disordered periodic lattices

By E.G. Karpov, N.G. Stephen and W.K. Liu

Abstract

This paper is concerned with probabilistic analysis of initial member stress in geometrically imperfect regular lattice structures with periodic boundary conditions. Spatial invariance of the corresponding statistical parameters is shown to arise on the Born-von Kármán domains. This allows analytical treatment of the problem, where the parameters of stress distribution are obtained in a closed form. Several benchmark problems with beam- and plate-like lattices are considered, and the results are verified by the direct Monte–Carlo simulations. Behaviour of the standard deviation as a function of lattice repetitive cell number is investigated, and dependence on the lattice structural redundancy is pointed out

Topics: T
Year: 2003
OAI identifier: oai:eprints.soton.ac.uk:23297
Provided by: e-Prints Soton

Suggested articles

Preview


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.