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CivilComp Proceedings
ISSN 17593433 CCP: 93
PROCEEDINGS OF THE TENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru and M.L. Romero
Paper 159
A Semi Energy Finite Strip Method for PostBuckling Analysis of Relatively Thick Laminates H.R. Ovesy^{1}, M. Hajikazemi^{1} and H. Assaee^{2}
^{1}Aerospace Engineering Department and Centre of Excellence in Computational Aerospace Engineering, Amirkabir University of Technology, Tehran, Iran
H.R. Ovesy, M. Hajikazemi, H. Assaee, "A Semi Energy Finite Strip Method for PostBuckling Analysis of Relatively Thick Laminates", in B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru, M.L. Romero, (Editors), "Proceedings of the Tenth International Conference on Computational Structures Technology", CivilComp Press, Stirlingshire, UK, Paper 159, 2010. doi:10.4203/ccp.93.159
Keywords: semienergy approach, finite strip method, post buckling analysis, antisymmetric angle ply laminates, von Karman's compatibility equation.
Summary
The main advantage of the semienergy finite strip method (FSM) is that it is based on the closed form solution of von Karman's compatibility equation in order to derive the analytical shape functions for the inplane displacements fields. In the previously developed version of the semienergy finite strip approach [1], which was suitable for the postbuckling analysis of thin composite plate structures, the outofplane displacement field of the finite strip is the only displacement which is postulated by a deflected form due to the application of classic laminated plate theory (CLPT).
In the current paper, a novel semienergy FSM is developed based on the concept of first order shear deformation theory (FSDT) in order to attempt the postbuckling solution for relatively thick composite plates subjected to uniform endshortening. In addition to the outofplane displacement field of the finite strip, the rotations with respect to x and y axes are also postulated by two deflected forms. The postulated deflected forms are substituted into von Karman's compatibility equation which is solved exactly to obtain the corresponding forms of the midplane stresses and displacements. The finite strip method developed is applied to analyze the post buckling behavior of thin and relatively thick antisymmetric angleply composite plates with simply supported boundary conditions. The post buckling loadend shortening and loadmaximum outofplane deflection path have been obtained by using two versions of semi energy FSM (i.e. the CLPT and FSDT versions). The results are discussed in detail and compared with those obtained using the finite element method (FEM) of analysis that was carried out by employing the general purpose ANSYS package. It is noted that the theoretical developments of the above mentioned FSDT semienergy FSM for the same analysis and its application, in the manner described in the current paper, have not been attempted so far elsewhere. The study of the results has revealed that the semienergy formulations have very good convergence properties and produce very accurate results by incorporating significantly fewer numbers of degrees of freedom than those required by the FEM. The effects of mechanical couplings on the postbuckling behavior of antisymmetric angleply laminated are discussed and highlighted. Moreover, it has been revealed that the formulation of the semienergy FSM based on the FSDT is generally more accurate than that of the semi energy FSM based on CLPT for the postbuckling analysis of relatively thick laminated plates. References
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