Non-linear dynamic thermo-mechanical buckling analysis of the imperfect sandwich plates based on a generalized three-dimensional high-order global–local plate theory

2010 ◽  
Vol 92 (1) ◽  
pp. 72-85 ◽  
Author(s):  
M. Shariyat
Keyword(s):  
Plate Theory ◽  
Three Dimensional ◽  
Buckling Analysis ◽  
High Order ◽  
Sandwich Plates ◽  
Linear Dynamic ◽  
Non Linear ◽  
Mechanical Buckling

Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

2005 ◽  
Vol 72 (6) ◽  
pp. 809-817 ◽  
Author(s):  
Jun-Sik Kim ◽  
Maenghyo Cho
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Plate Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Laminated Plates ◽  
Sandwich Plates ◽  
First Order ◽  
Transverse Shear Strains

A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness. It is assumed that the displacement and in-plane strain fields of FSDT can approximate, in an average sense, those of three-dimensional theory. Relationship between FSDT and three-dimensional theory has been systematically established in the averaged least-square sense. This relationship provides the closed-form recovering relations for three-dimensional variables expressed in terms of FSDT variables as well as the improved transverse shear strains. This paper makes two main contributions. First an enhanced first-order shear deformation theory (EFSDT) has been developed using an available higher-order plate theory. Second, it is shown that the displacement fields of any higher-order plate theories can be recovered by EFSDT variables. The present approach is applied to an efficient higher-order plate theory. Comparisons of deflection and stresses of the laminated plates and sandwich plates using present theory are made with the original FSDT and three-dimensional exact solutions.

The analysis of inter-laminar stress and electric potential for a laminated piezoelectric plate with interfacial damage

2011 ◽  
Vol 16 (8) ◽  
pp. 793-811 ◽  
Author(s):  
Fu Yiming ◽  
Li Sheng
Keyword(s):  
Electric Potential ◽  
Degrees Of Freedom ◽  
Piezoelectric Plate ◽  
Plate Theory ◽  
Three Dimensional ◽  
Variation Principle ◽  
Interfacial Damage ◽  
Load Models ◽  
Non Linear ◽  
Piezoelectric Plates

This paper presents a non-linear model for laminated piezoelectric plates with inter-laminar mechanical and electrical damage. The model is based on the general six-degrees-of-freedom plate theory, and the discontinuity of displacement and electric potential on the interfaces are depicted by three shape functions. By using the variation principle, the three-dimensional non-linear equilibrium differential equations of simply supported laminated piezoelectric plates with interfacial damage are derived. Then, an analytical solution is presented by using the finite difference method. In numerical examples, the effects of different damage values, load models, and electric boundary conditions on the inter-laminar stress and electric potential profile of a laminated piezoelectric plate with interfacial imperfections are investigated.

THERMO-MECHANICAL BUCKLING ANALYSIS OF FINITE ELEMENT MODELED FUNCTIONALLY GRADED CERAMIC-METAL PLATES

2011 ◽  
Vol 03 (04) ◽  
pp. 867-880 ◽  
Author(s):  
MOHAMMAD TALHA ◽  
B. N. SINGH
Keyword(s):  
Finite Element ◽  
Mechanical Load ◽  
Plate Theory ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Metal Plates ◽  
Mechanical Buckling ◽  
Fundamental Equations ◽  
Transverse Shear Strains

In the present investigation, buckling analysis of functionally graded ceramic-metal (FGM) plates subjected to thermo-mechanical load is presented. The effective material properties of FGM plates are assumed to be temperature-dependent and vary in the thickness direction according to the power-law distribution of the volume fractions of the constituents. An improved higher-order shear deformation plate theory is employed to account for the transverse shear strains by maintaining stress-free top and bottom faces of the plate. An efficient C0 finite element is proposed for the model, and the variational approach is utilized to derive the fundamental equations for the FGM plates. Convergence and comparison studies have been performed to describe the efficiency of the present model. The numerical results are highlighted with different system parameters and boundary conditions.

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