Elastoplastic buckling of rectangular plates in biaxial compression/tension

1999 ◽  
Vol 41 (7) ◽  
pp. 751-765 ◽  
Author(s):  
David Durban ◽  
Zvi Zuckerman
Keyword(s):  
Biaxial Compression ◽  
Rectangular Plates

BUCKLING OF COMPOSITE PLATES WITH ARBITRARY BOUNDARY CONDITIONS BY A SEMI-ANALYTICAL APPROACH

2012 ◽  
Vol 12 (05) ◽  
pp. 1250033 ◽  
Author(s):  
EUGENIO RUOCCO ◽  
VINCENZO MINUTOLO
Keyword(s):  
Analytical Approach ◽  
Composite Plates ◽  
Analytical Form ◽  
Biaxial Compression ◽  
Rectangular Plates ◽  
Arbitrary Boundary ◽  
Buckling Loads ◽  
Plate Buckling ◽  
Out Of Plane ◽  
Plane Displacement

A semi-analytical approach for the buckling analysis of symmetrically laminated rectangular plates under arbitrary constrains is presented. In the proposed method, the out-of-plane displacement field is assumed to be of a multiplicative form containing two vectors of functions, one being prescribed and the other to be determined, depend on separate variables. As a consequence, one may solve the equilibrium equation analytically, and obtain exact buckling loads for the biaxial compression and different boundary constrains. Several cases of plate buckling under different load combinations are studied, in order to demonstrate the applicability of the proposed approach. The results obtained are compared with the existing ones, where available in analytical form, and approximate results obtained by other numerical methods.

Maximizing the buckling loads of symmetrically laminated composite rectangular plates using a layerwise optimization approach

2004 ◽  
Vol 218 (7) ◽  
pp. 681-691 ◽  
Author(s):  
Y Narita ◽  
G J Turvey
Keyword(s):  
Laminated Composite ◽  
Computational Effort ◽  
Laminated Plates ◽  
Simultaneous Optimization ◽  
Biaxial Compression ◽  
Optimization Approach ◽  
Rectangular Plates ◽  
Buckling Loads ◽  
Edge Conditions ◽  
Optimum Solution

Research on optimum lay-ups and buckling loads of laminated plates is briefly reviewed. A new sequential, iterative procedure, known as layerwise optimization (LO), for determining the optimum lay-ups and maximum buckling loads of symmetrically laminated rectangular plates is described. The physical basis of the procedure is explained. LO is shown to be highly efficient, with reductions in computational effort of more than 99 per cent being possible in comparison to some simultaneous optimization procedures. Three examples are presented of the use of the LO procedure to determine the optimum lay-ups and associated maximum buckling loads of 8- and 24-layer symmetrically laminated rectangular plates subjected to uniform, uniaxial and biaxial compression. For 18 combinations of free, simply supported and clamped edge conditions, it is shown that the LO procedure generally leads to the optimum solution. In the very few instances where a local rather than a global solution was obtained, the maximum buckling load was only 4–6.5 per cent lower than the optimum value.

BUCKLING ANALYSIS OF FUNCTIONALLY GRADED PLATES UNDER MECHANICAL LOADING USING HIGHER ORDER FUNCTIONALLY GRADED STRIP

2013 ◽  
Vol 13 (06) ◽  
pp. 1350033 ◽  
Author(s):  
M. H. SHERAFAT ◽  
H. R. OVESY ◽  
S. A. M. GHANNADPOUR
Keyword(s):  
Volume Fraction ◽  
Plate Theory ◽  
Load Capacity ◽  
Plate Thickness ◽  
Higher Order ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Rectangular Plates ◽  
Functionally Graded Plates ◽  
Ceramic Phase

This paper is concerned with buckling analyses of rectangular functionally graded plates (FGPs) under uniaxial compression, biaxial compression and combined compression and tension loads. It is assumed that the plate is a mixture of metal and ceramic that its properties changes as afunction according to the simple power law distribution through the plate thickness. The fundamental eigen-buckling equations for rectangular plates of functionally graded material (FGM) are obtained by discretizing the plate into some finite strips, which are developed on the basis of the higher order plate theory (HOPT). The solution is obtained by the minimization of the total potential energy. Numerical results fora variety of FGPs are given, and compared with the available results, wherever possible. The effects of thickness ratio, variation of the volume fraction of the ceramic phase through the thickness, aspect ratio, boundary conditions and also load distribution on the buckling load capacity of FGM plates are determined and discussed. It is found that the buckling behavior of FGM plates is particularly influenced by application of HOPT, especially when the plates are thick.

Residual Strength of Pitted Mild Steel Plates Subjected to Biaxial Compression

2016 ◽  
Author(s):  
Xiaoli Jiang ◽  
C. Guedes Soares
Keyword(s):  
Mild Steel ◽  
Pitting Corrosion ◽  
Residual Strength ◽  
Fem Analysis ◽  
Steel Plates ◽  
Biaxial Compression ◽  
Rectangular Plates ◽  
Nonlinear Fem ◽  
Unique Parameter

The present paper focus on the residual strength of pitted mild steel rectangular plate under biaxial compression. This paper aims to propose a general and practical formula to predict the residual strength of pitted rectangular plates under biaxial compression starting from the classic formula for intact rectangular plates and assessing whether it can be applicable to pitted plates, where the degree of pitting corrosion is modelled as one key parameter. Firstly, the numerical model is verified with an existing case study. Afterwards, a series of nonlinear FEM analysis are performed, changing geometrical attributes of both pits and plates, i.e., the radius and location of pits and the slenderness of plates. Based on those simulation results, it is found that the classic formula for intact rectangular plates can be applied reasonably well for pitting corroded plates. A unique parameter DOP (degree of pitting), which is easily determined, is employed to evaluate the effect of pitting corrosion with adequately accuracy and without bias to either longitudinal or transverse compressive stress. The proposed formula can provide guidance during the process of ship structural maintenance decision-making and strength reassessment conveniently.

Post-Buckling Behaviour of Simply-Supported Cross-Ply Rectangular Plates

1976 ◽  
Vol 27 (4) ◽  
pp. 309-316 ◽  
Author(s):  
M K Prabhakara
Keyword(s):  
Large Deflection ◽  
Bending Moment ◽  
Double Series ◽  
Biaxial Compression ◽  
Rectangular Plates ◽  
Sine Series ◽  
Simply Supported ◽  
Unsymmetric Laminates ◽  
Post Buckling ◽  
Transverse Deflection

SummaryAn analysis is presented for the post-buckling behaviour of simply-supported, laminated cross-ply rectangular plates subjected to biaxial compression. The solution to von Kármán-type large deflection equations of the plate is expressed as a double sine series for the transverse deflection and a double series of clamped-clamped beam functions for the force function. All the boundary conditions, including those involving the normal bending moment at the edges, are satisfied exactly. The series solution is found to converge rapidly. Using only the first few terms in the series, numerical results for square graphite-epoxy unsymmetric laminates under uniaxial compression is presented graphically.

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