Buckling of composite plate assemblies using higher order shear deformation theory—An exact method of solution

Abstract

Citation: Fazzolari, F. A., Banerjee, J. R. and Boscolo, M. (2013). Buckling of composite plate assemblies using higher order shear deformation theory-An exact method of solution. Thin-Walled Structures, 71, pp. 18-34. doi: 10.1016/j.tws.2013 This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent AbstractAn exact dynamic stiffness element based on higher order shear deformation theory and extensive use of symbolic algebra is developed for the first time to carry out a buckling analysis of composite plate assemblies. The principle of minimum potential energy is applied to derive the governing differential equations and natural boundary conditions. Then by imposing the geometric boundary conditions in algebraic form the dynamic stiffness matrix, which includes contributions from both stiffness and initial pre-stress terms, is developed. The Wittrick-Williams algorithm is used as solution technique to compute the critical buckling loads and mode shapes for a range of laminated composite plates including stiffened plates. The effects of significant parameters such as thickness-to-length ratio, orthotropy ratio, number of layers, lay-up and stacking sequence and boundary conditions on the critical buckling loads and mode shapes are investigated. The accuracy of the method is demonstrated by comparing results whenever possible with those available in the literature.

Exact Free Vibration Analysis for Plate Built-Up Structures under Comprehensive Combinations of Boundary Conditions

“…ere is no doubt that J 0 plays an important role in the Wittrick-Williams algorithm. However, calculating J 0 is generally a difficult problem, and the traditional way is to refine the mesh to make sure J 0 � 0 [17,[34][35][36]. Obviously, it will introduce unnecessary computational cost significantly.…”

“…J 0 is the number of natural frequencies below the trial frequency when all the nodes of the structure are clamped. A majority of researches [17,[34][35][36] discretized the structure into a finer dynamic stiffness mesh to ensure that J 0 is equal to zero, which greatly reduces the computational efficiency, and the merit of the DSM is not brought into full play.…”

Dual-axis buckling of laminated composite skew hyperbolic paraboloids with openings

“…Srinivasa et al [26] presented buckling of skew plates using finite element analysis. By considering geometry nonlinearity due to excess mechanical deformation in the structure of the HSDT, buckling analysis of laminated composite plate is studied by Fazzolari et al [27]. Grover et al [28] used an inverse hyperbolic shear deformation theory to present a buckling analysis of composite laminates and sandwich laminates.…”

Comparison of nonlinear Von Karman and Cosserat theories in very large deformation of skew plates

“…For numerical solution of this problem, Nguyen-Xuan et al (2013), Shariyat (2010a) and Neff (2004) can be mentioned. Analytical solution of buckling and free vibration of plates using Von Karman theory studied by Fazzolari et al (2013), Sahmani and Ansari (2013a) and Swaminathan and Naveenkumar (2014). Phung- Van et al (2013), Sahmani and Ansari (2013b), Sahmani et al (2014) and Shariyat (2010b) has used numerical method for solution of this problem.…”