Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2015012015
pages 265-280

EXACT BOUNDARY CONDITIONS FOR BUCKLING ANALYSIS OF RECTANGULAR MICRO-PLATES BASED ON THE MODIFIED STRAIN GRADIENT THEORY

Meisam Mohammadi
Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
Majid Fooladi
Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
Hossein Darijani
Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

RESUMO

A size-dependent Kirchhoff plate model is developed for determining the exact boundary conditions and pre-buckling forces for buckling analysis of rectangular micro-plates. Modified strain gradient theory with three length scale parameters is considered for better capturing the effects of micro-structures. Also, it can be reduced to the couple stress theory or the classical plate theory by setting two or all length scale parameters to zero, respectively. Using the variational approach and the adjacent equilibrium criterion, all possible boundary conditions (consisting of simply supported, free, and clamped) in addition to the governing equations are derived. In order to complete the boundary conditions, a detailed explanation for determining the pre-buckling forces of micro-plates is presented. Finally, the stability equations are solved analytically for some typical cases of boundary conditions to determine the critical buckling loads of micro-plate. Consequently, the effects of length scale parameters and dimensions on the governing equations, boundary conditions, and also critical buckling loads are investigated in detail.


Articles with similar content:

Exact Relations for the Effective Properties of Nonlinearly Elastic Inhomogeneous Materials
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 1
B. Bary, Qi-Chang He
BUCKLING OF FGM TIMOSHENKO MICROBEAMS UNDER IN-PLANE THERMAL LOADING BASED ON THE MODIFIED STRAIN GRADIENT THEORY
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 4
M. Faghih Shojaei, S. Sahmani, R. Ansari, V. Mohammadi, Raheb Gholami
THERMOELASTIC BENDING ANALYSIS OF ORTHOTROPIC PLATES USING HYPERBOLIC SHEAR DEFORMATION THEORY
Composites: Mechanics, Computations, Applications: An International Journal, Vol.4, 2013, issue 3
Atteshamuddin Shamshuddin Sayyad, Yuwaraj M. Ghugal, B. M. Shinde
Analysis and Numerical Simulation of Discontinuous Displacements Modeling Fine Scale Damage in a Continuum Under Mixed-Mode Loading
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
Krishna Garikipati
SEMI-ANALYTICAL APPROACH TO THE ANALYSIS OF THE NONSYMMETRIC FILAMENT WOUND COMPOSITE MODEL
Composites: Mechanics, Computations, Applications: An International Journal, Vol.3, 2012, issue 2
T. Mares, M. Stefan, Lukas Jiran