A general analytical approach to the thermoelastic analysis of asymmetric anisotropic nanoplate with polygonal holes

Abstract

The structural complexity of high-tech industries is often compromised by a combination of thermal, mechanical, and geometric weaknesses. New generation materials and engineering the structure of materials are among the techniques that engineers employ to eliminate these effects. In this study, a comprehensive analysis solution is derived using Lekhnitskii’s complex variable approach with the use of general mapping functions, the concept of functionally graded materials (FGMs), and holomorphic functions in the form of Laurent series. This general solution is used for the thermoelastic analysis of perforated functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates with polygonal hole. A refined-calibrated rule of mixtures is used to approximate the material property of FG-CNTRC plates according to gradational changes in direction of thickness and available molecular dynamics simulations results. After validation of present analytical solution results with finite element analysis results and available mechanical analysis of composite plates results, stress and moment resultants due to remoting heat flux-mechanical loading is studied. The effect of FG-CNTRC material properties, heat flux condition, and four parameters affecting the shape of the polygonal holes has been investigated. During the present parametric analysis, the results clearly show that the parameters related to the FG-CNTRC material properties, flux conditions, and hole geometry each provide a reliable tool for designers to influence the stress and moment resultants to minimize undesirable stresses. This general formulation is able to calculate thermoelastic parameters (thermal and mechanical parameters, separately) for the generalized problems of the FGM plate or composite laminates with a polygonal hole.