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Initial tension in randomly disordered periodic lattices

Karpov, E.G., Stephen, N.G. and Liu, W.K. (2003) Initial tension in randomly disordered periodic lattices International Journal of Solids and Structures, 40, (20), pp. 5371-5388. (doi:10.1016/S0020-7683(03)00290-7).

Record type: Article


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.

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Published date: 2003
Keywords: Periodic lattice, Repetitive structure, Lack of fit, Initial tension


Local EPrints ID: 23297
ISSN: 0020-7683
PURE UUID: 4c975590-1f68-4fb7-8d4a-7ae598810c7b

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Date deposited: 14 Mar 2006
Last modified: 17 Jul 2017 16:18

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Author: E.G. Karpov
Author: N.G. Stephen
Author: W.K. Liu

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