Static, free vibration and buckling analysis of in-plane heterogeneous laminated plates based on FSDT using equilibrated basis functions Mohammad Azizpooryan m.azizpooryan@gmail.com 8/12/2020 Department of Civil Engineering Isfahan University of Technology, Isfahan 84156-83111, Iran Degree: M. Sc Language: Farsi Dr. Bijan Boroomand Boromand@iut.ac.ir Dr. Nima Noormohammadi Noormohammadi@iut.ac.ir In this paper static, buckling and free vibration analysis of in-plane heterogeneous laminated plates are numerically studied. The Mindlin theory which considers linear transverse shear deformation has been implemented. The governing partial differential equation is satisfied in a weighted residual integration approach. Chebyshev polynomials are used as the basis function, while in the bending solution exponential basis functions and in the buckling and free vibration solutions Dirac delta function make up the weight functions of the integration. The emerging integrals may be composed of some pre-evaluated 1D normalized ones, which effectively speads up the solution progress. To verify the method, several examples of homogeneous as well as heterogeneous plates have been solved. The results, compared with those presented in the literature or achieved by commercial codes, reveal excellent accuracy of the proposed method. Keywords : Equilibrated basis functions, Thick plate, Heterogeneous, Composite, Chebyshev