Investigation of the effect of cutout shape on thermal stresses in perforated multilayer composites subjected to heat flux using an analytical method

• Published in: European journal of mechanics, A, Solids A, Solids, 2022-01, Vol.91, p.104412, Article 104412
• Main Authors: Bayati Chaleshtari, Mohammad Hossein, Khoramishad, Hadi
• Format: Article
• Language: English
• Subjects: Analytical solution; Angular position; Aspect ratio; Complex variable method; Composite structures; Conformal mapping; Design engineering; Heat flux; Heat transfer; Laminates; Mathematical analysis; Multilayers; Non-circular cutout; Polygons; Shape effects; Stress concentration; Symmetric composite laminate; Thermal stress; Two dimensional analysis
• ISSN: 0997-7538; 1873-7285
• DOI: 10.1016/j.euromechsol.2021.104412

In the engineering design of perforated composite laminates, understanding the effect of geometrical and material parameters on stress concentration is of vital importance. In this paper, the effect of the cutout shape on the thermal stresses induced in perforated multilayer composite plates under uniform heat flux was studied. The thermal stress concentration was investigated using an analytical method based on the two-dimensional thermo-elastic theory, the Lekhnitskii method and conformal mapping by varying the laminate material and the aspect ratio, the bluntness and the rotation angle of the 3- to 6-sided polygonal cutouts. It was found out that the desirable cutout angular position for which the minimum thermal stress concentration was obtained was dependent on the order of the polygonal cutout, whereas the desirable cutout aspect ratio was unity irrespective of the cutout shape. The analytical results were in a reasonable correlation with the finite element results. •The thermal stresses in perforated multilayer composite laminates was studied.•An analytical method based on the Lekhnitskii method and conformal mapping was used.•The effect of the cutout shape was studied on the thermal stress concentration.•Different quasi-polygonal cutouts with different geometrical parameters were considered.