Eringen's length scale coefficient for buckling of nonlocal rectangular plates from microstructured beam-grid model

Zhang, Zhen, Wang, C. M. and Challamel, Noel (2014) Eringen's length scale coefficient for buckling of nonlocal rectangular plates from microstructured beam-grid model. International Journal of Solids and Structures, 51 25-26: 4307-4315. doi:10.1016/j.ijsolstr.2014.08.017


Author Zhang, Zhen
Wang, C. M.
Challamel, Noel
Title Eringen's length scale coefficient for buckling of nonlocal rectangular plates from microstructured beam-grid model
Journal name International Journal of Solids and Structures   Check publisher's open access policy
ISSN 0020-7683
1879-2146
Publication date 2014-12-01
Sub-type Article (original research)
DOI 10.1016/j.ijsolstr.2014.08.017
Open Access Status Not yet assessed
Volume 51
Issue 25-26
Start page 4307
End page 4315
Total pages 9
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Abstract Based on a microstructured beam-grid model, closed form solutions for Eringen's length scale coefficient are derived for the buckling of nonlocal rectangular plates under compressive uniaxial load. The micro-structured beam-grid model comprises rigid beam elements connected by rotational springs and torsional springs. Stiffness of the rotational springs and torsional springs are expressed in terms of the plate flexural and torsional rigidities, respectively. Exact buckling solutions are obtained for the micro-structured beam-grid model. By interpreting the rigid element length as the internal characteristic length, the Eringen's length scale coefficient e0 may be determined by comparing the buckling load from the microstructured beam-grid model and the nonlocal rectangular plate model. The small length scale coefficient is shown to be dependent on the buckling mode, the aspect ratio of plate and boundary conditions.
Keyword Characteristic length scale
Exact solution
Microstructured beam-grid model
Nonlocal rectangular plate
Uniaxial buckling
Uniform compression
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Tue, 17 Jan 2017, 21:29:22 EST by Anthony Yeates on behalf of Learning and Research Services (UQ Library)