Initial tension in randomly disordered periodic lattices
Initial tension in randomly disordered periodic lattices
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.
Periodic lattice, Repetitive structure, Lack of fit, Initial tension
5371-5388
Karpov, E.G.
5479efe4-a7fa-49c0-9730-c1e6f0cc0d4f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Liu, W.K.
7d95cc86-72d0-4db1-a198-be217ec6ef75
2003
Karpov, E.G.
5479efe4-a7fa-49c0-9730-c1e6f0cc0d4f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Liu, W.K.
7d95cc86-72d0-4db1-a198-be217ec6ef75
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), .
(doi:10.1016/S0020-7683(03)00290-7).
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.
Text
Karp_03.pdf
- Accepted Manuscript
More information
Published date: 2003
Keywords:
Periodic lattice, Repetitive structure, Lack of fit, Initial tension
Identifiers
Local EPrints ID: 23297
URI: http://eprints.soton.ac.uk/id/eprint/23297
ISSN: 0020-7683
PURE UUID: 4c975590-1f68-4fb7-8d4a-7ae598810c7b
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Date deposited: 14 Mar 2006
Last modified: 15 Mar 2024 06:46
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Contributors
Author:
E.G. Karpov
Author:
W.K. Liu
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