A 3D computational meshfree model for the mechanical and thermal buckling analysis of rectangular composite laminated plates with embedded delaminations

Abstract A three-dimensional (3D) semi-analytical model is developed by introducing meshfree local radial point interpolation method into a Hamilton system to analyze the mechanical and thermal buckling behavior of rectangular laminated plates with embedded delaminations. A modified Hamiltonian function for mechanical and thermal buckling analysis of rectangular laminated composite plates subjected to in-plane axial compressive or thermal loads is proposed. The final governing equation is deduced with the transfer matrix technique and a spring layer model based on the modified Hellinger-Reissner variational principle. One of the main superiorities of the present model is that the scale of final governing equation, which involves only the so-called state variables at the top and bottom surfaces, is insensitive to the thickness and the number of layers of composite laminates. Several relevant numerical examples are carried out to validate the present model, and the present results are in good agreement with pre-existing results.