The thermal buckling of laminated composite plates is analysed using the finite element method based on the Reissner-Mindlin first order shear deformation theory. The nine-node Lagrangian isoparametric element is employed for the thermal buckling analysis of symmetric cross-ply, symmetric angle-ply and quasi-isotropic laminates subjected to uniform temperature distribution. The effects of modulus ratio, fibre orientation, length to thickness ratio, aspect ratio and various boundary conditions on the critical temperature are analysed. The influence of the stress distribution on the variation of the critical temperature with fibre orientation is studied for different boundary conditions. Also, the variation of critical temperature with shear correction factor is considered. © 1994.

M. R. Prabhu

Boundary conditions

Buckling

Deformation

finite element method

Lagrange multipliers

Laminated composites

Mathematical models

Stress analysis

Stress concentration

Temperature distribution

Thermal effects

Thermal stress

critical temperature

fibre orientation

LENGTH TO THICKNESS RATIO

MODULUS RATIO

NINE NODE LAGRANGIAN ISOPARAMETRIC ELEMENT

REISSNER-MINDLIN FIRST ORDER SHEAR DEFORMATION THEORY

SHEAR CORRECTION FACTOR

Thermal buckling

Plates (structural components)

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Thermal buckling of laminated composite plates

Computers and Structures

In the current paper, buckling and vibration behaviours of thin-walled box columns in a thermal environment made of functionally graded materials are investigated, using finiteelement method based on classical laminated plate theory. The four node thin-plate element with five degrees of freedom is employed in the study. The box column is considered as assemblages of plates, and a continuously graded variation in composition of the ceramic and metal phases across the plate wall thickness in terms of a simple power law distribution is implemented. The effects of temperature dependent material properties on the critical buckling and the free vibration response are studied. The analysis is carried out under thermal environment for clamped-damped boundary condition and results are presented. © IMechE 2008.

Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications

Finite-element buckling and vibration analysis of functionally graded box columns in thermal environments

Two refined higher order theories, one that neglects and the other that takes into account the effect of transverse normal deformation, are used to develop two discrete finite element models for the thermal buckling analysis of composite laminates and sandwiches. The two models, one with nine degrees of freedom per node and the other with eleven degrees of freedom, are based on a nine-node Lagrangian isoparametric element. The geometric stiffness matrices are developed by taking into consideration the effects of the higher order terms on the initial in-plane and transverse shear stresses. The accuracy of the present formulations is first evaluated by analyzing sample problems for which analytical three-dimensional solutions exist in the literature. Numerical results are presented for the first time for sandwich plates, demonstrating the importance and accuracy of the higher order theory in comparison to first-order theory. Some new results are also given for sandwich plates with angle-ply composite face sheets, showing the effects of various boundary conditions and of variations in geometric and lamina tion parameters on critical temperature. © 2000 Taylor & Francis Group, LLC.

Journal of Thermal Stresses

Refined higher order finite element models for thermal buckling of laminated composite and sandwich plates

Fulltext

Buckling analysis of composite laminates for critical temperatures under thermal loads is reported here. The formulation is based on linear theory and the finite element method using semiloof elements. The governing equation for critical temperature corresponding to the bifurcation budding is obtained by equating the second variation of total potential energy to zero. The validation checks on the program are carried out using results on homogeneous isotropic plates available in the literature. Results are presented for: 1. (1) cross-ply and angle-ply laminations with symmetry and antisymmetry stacking, 2. (2) simply supported, clamped and combination of boundary conditions, 3. (3) different aspect ratios, 4. (4) various moduli ratios, 5. (5) uniform and linearly varying temperature across thickness, 6. (6) varying ratios of coefficients of linear thermal expansion, and 7. (7) varying number of layers for given laminate thickness. Certain conclusions have been drawn based on these results. © 1989.

Thermal buckling of composite laminated plates

Thin-Walled Structures

Thermal buckling of clamped symmetric laminated plates

Applied Mechanics Reviews

Thermally Induced Flexure, Buckling, and Vibration of Plates

Computers & Structures

FEM analysis of buckling and thermal buckling of antisymmetric angle-ply laminates according to transverse shear and normal deformable high order displacement theory

Composite Structures

Stress and free vibration analyses of multilayered composite plates

Journal	Computers and Structures
ISSN	00457949
Open Access	No