A closed-form solution for thermoelastic stress analysis of perforated asymmetric functionally graded nanocomposite plates

• Published in: Theoretical and applied fracture mechanics 2022-04, Vol.118, p.103251, Article 103251
• Main Authors: Zeighami, Vahid, Jafari, Mohammad
• Format: Article
• Language: English
• Subjects: Carbon nanotubes; Complex variable method (CVM); Composite structures; Conformal mapping; Couplings; Design parameters; Exact solutions; Functionally gradient materials; Laminates; Mathematical analysis; Nanocomposites; Perforated FG-CNTRC plate; Perforated plates; Resultants; Stress analysis; Stress concentration; Stress distribution; Stress-strain relationships; Thermal analysis; Thermoelastic solution, Holomorphic potential functions
• ISSN: 0167-8442; 1872-7638
• DOI: 10.1016/j.tafmec.2022.103251

•A closed-form solution for thermoelastic stress analysis of perforated asymmetrical nanocomposite plates is presented.•Thermoelastic analysis of perforated FGM and asymmetric laminated plates can be performed by using the analytical method presented in this study.•The effect of CNT volume fraction, CNT angle (α), hole aspect ratio, hole orientation (β), and heat flux angle (γ) on the stress analysis of perforated FG-CNTRC is investigated.•By selecting the proper values of the effective parameters, the thermal stress resultants and moments can be significantly decreased.•The desirable and undesirable stress resultants and moments are obtained for all elongations, at flux angles γ = 0° and γ = 90°, respectively. Issues related to stress concentration in cracks, perforated plates, and the use of new generation materials to strengthen this type of plates are of great importance. When a functionally graded carbon nanotube-reinforced composite plate (FG-CNTRC) has a hole in its center of the plate that is exposed to a combination of mechanical and thermal loads, due to various couplings such as bending-extension, shear-extension, and bend-twist couplings that occur in the stress–strain relationships and due to the presence of nonhomogeneous equations, the analytical solution approach will be accompanied by new challenges. Hence, a general solution for the FG-CNTRC plates weakened by a central hole is presented. To achieve this goal, the Lekhnitskii complex potential approach is developed using the appropriate conformal mapping function. The present solution provides the ability to calculate the stress distribution of perforated plates made of asymmetric composite laminates and functionally graded materials by introducing holomorphic potential functions in the form of Laurent series. In this research, an attempt has been made to depict the effect of important parameters on the stress resultants and moments around the hole. The results clearly show that the studied parameters significantly change the stress resultants and moments due to thermal and mechanical loads applied to perforated FG-CNTRC plates. As a result, it is possible to significantly reduce stress resultants and moments by properly selecting the values of effective parameters in the design of such perforated plates.