journal article·2020-11Open access

Analytical Thermal Stress Analysis of Perforated Symmetric Composite Laminates Containing a Quasi-Triangular Hole

M. H. Bayati Chaleshtari, H. Khoramishad, F. Berto

Physical Mesomechanics· Volume 23· Issue 6

Abstract

In this study, the thermal stress distribution surrounding a quasi-triangular hole within a symmetric composite laminate made of various composite materials was investigated. A composite laminate exposed to uniform heat flux was analyzed using the complex variable method as a thermo-elastic two-dimensional problem under a steady state condition. The analytical solution was achieved with the development of the Lekhnitskii’s solution and using the classical laminated plate theory and a conformal mapping function. The influence of important parameters on thermal stress distribution surrounding a hole such as the hole orientation, bluntness and aspect ratio, the heat flux angle and the laminate stacking sequence and material was studied. The results were achieved for different stacking sequences of [45°/–45°]s and [0°/90°]s. The analytical solution in this study was well validated against the finite element results.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Thermoelastic and Magnetoelastic Phenomena · Mechanical Behavior of Composites

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (29)

Show source-provided references
1. Muskhelishvili, N., Some Basic Problems of the Mathematical Theory of Elasticity, Dordrecht: Springer Netherlands, 1954.
2. Savin, G.N., Stress Distribution around Holes, New York: 1961.
3. Lekhnitskiy, S.G., Anisotropic Plates, New York: Epub ahead of print, 1969.
4. Hasebe, N., Wang, X., Complex Variable Method for Thermal Stress Problem, J. Therm. Stress., 2005, vol. 28, pp. 595–648.10.1080/01495730590932706 ↗
5. Florence, A.L. and Goodier, J.N., Thermal Stresses due to Disturbance of Uniform Heat Flow by an Insulated Ovaloid Hole, J. Appl. Mech., 1960, vol. 27, pp. 635–639.10.1115/1.3644074 ↗
6. Bhullar, S.K. and Wegner, J.L., Thermal Stresses in a Plate with Hyperelliptical Hole, J. Eng. Technol. Res., 2009, vol. 1, pp. 152–170.
7. Tarn, J.Q. and Wang, Y.M., Thermal Stresses in Anisotropic Bodies with a Hole or a Rigid Inclusion, J. Therm. Stress, 1993, vol. 16, pp. 455–471.10.1080/01495739308946240 ↗
8. Chauhan, M.M. and Sharma, D.S., Stress Concentration at the Corners of Polygonal Hole in Finite Plate, Aerosp. Sci. Technol., 2016, vol. 58, pp. 197–206.10.1016/j.ast.2016.08.014 ↗
9. Kalyon, M. and Yilbas, B.S., Analytical Solution for Thermal Stresses during the Laser Pulse Heating Process, Proc. Inst. Mech. Eng. Part C. J. Mech. Eng. Sci., 2001, vol. 215, pp. 1429–1445.10.1243/0954406011524793 ↗
10. Su, Z., Xie, C., and Tang, Y., Stress Distribution Analysis and Optimization for Composite Laminate Containing Hole of Different Shapes, Aerosp. Sci. Technol., 2018, vol. 76, pp. 466–470.10.1016/j.ast.2018.01.046 ↗
11. Ju, S.H., Liang, W.Y., Hsu, H.H., and Tarn, J.Q., Analytic Solution of Angle-Ply Laminated Plates under Extension, Bending and Torsion, J. Compos. Mater., 2019, https://doi.org/10.1177/002199831987302510.1177/0021998319873025 ↗
12. Alshaya, A. and Lin, S., Hybrid Stress Analysis of a Near-Surface Circular Hole in Finite Structures, Proc. Inst. Mech. Eng. C. J. Mech. Eng. Sci., 2019, pp. 1–16.
13. Damghani, M., Harrison, C., and Kennedy, D., The Effects of Composite Laminate Stiffness and Loading on Stress Resultant Concentration Factor Around a Hole, Proc. Inst. Mech. Eng. Part C. J. Mech. Eng. Sci., 2018, vol. 232, pp. 1033–1049.10.1177/0954406218755187 ↗
14. Khechai, A. and Mohite, P.M., Optimum Design of Perforated Symmetric Laminates Using Evolutionary Algorithm, J. Compos. Mater., 2019, vol. 53, pp. 3281–3305.10.1177/0021998318815324 ↗
15. Jafari, M., Nazari, M.B., and Taherinasab, A., Thermal Stress Analysis in Metallic Plates with a Noncircular Hole Subjected to Uniform Heat Flux, Eur. J. Mech. A. Solids, 2016, vol. 59, pp. 356–363.10.1016/j.euromechsol.2016.05.004 ↗
16. Jafari, M. and Jafari, M., Effect of Hole Geometry on the Thermal Stress Analysis of Perforated Composite Plate under Uniform Heat Flux, J. Compos. Mater., 2019, vol. 53, pp. 1079–1095.10.1177/0021998318795279 ↗
17. Choi, H.J., Thermal Stresses Due to a Uniform Heat Flow Disturbed by a Pair of Offset Parallel Cracks in an Infinite Plane with Orthotropy, Eur. J. Mech. A. Solids, 2017, vol. 63, pp. 1–13.10.1016/j.euromechsol.2016.11.009 ↗
18. Mahmoudi, H. and Atefi, G., Analytical Solution for Thermal Stresses in a Hollow Cylinder under Periodic Thermal Loading, Proc. Inst. Mech. Eng. Part C. J. Mech. Eng. Sci., 2012, vol. 226, pp. 1705–1724.10.1177/0954406211429757 ↗
19. Chao, C.K., Chen, F.M., and Lin, T.H., Thermal Stresses Induced by a Remote Uniform Heat Flow Interacting with Two Circular Inclusions, J. Therm. Stress, 2017, vol. 40, pp. 564–582.10.1080/01495739.2016.1228437 ↗
20. Wang, P. and Wang, B.L., Thermoelectric Fields and Associated Thermal Stresses for an Inclined Elliptic Hole in Thermoelectric Materials, Int. J. Eng. Sci., 2017, vol. 119, pp. 93–108.10.1016/j.ijengsci.2017.06.018 ↗
21. Zenkour, A.M. and Abouelregal, A.E., Thermoelastic Interactions in an Infinite Orthotropic Continuum of a Variable Thermal Conductivity with a Cylindrical Hole, Iran. J. Sci. Technol. Trans. Mech. Eng., 2019, vol. 43, pp. 281–290.10.1007/s40997-017-0117-x ↗
22. Ukadgaonker, V.G. and Rao, D.K.N., A General Solution for Stresses Around Holes in Symmetric Laminates under Inplane Loading, Compos. Struct., 2000, vol. 49, pp. 339–354.10.1016/S0263-8223(00)00070-2 ↗
23. Zha, X. and Zuo, Y., Theoretical and Experimental Studies on In-Plane Stiffness of Integrated Container Structure, Adv. Mech. Eng., 2016, vol. 8, pp. 1–20.10.1177/1687814016637522 ↗
24. Dehghani, M., Fotuhi, A.R., and Shafiei, A.R., Thermal Stress Analysis in a Finite Perforated Plane, Iran. J. Sci. Technol. Trans. Mech. Eng., 2019, vol. 43, pp. 705–721.10.1007/s40997-018-0189-2 ↗
25. Khoramishad, H., Bagheri Tofighi, M., and Khodaei, M., Effect of Stacking Sequence on Low-Velocity Impact Behavior of Metal Laminates, Phys. Mesomech., 2018, vol. 21, no. 2, pp. 140–149. https://doi.org/10.1134/S102995991802007810.1134/S1029959918020078 ↗
26. Herakovich, C.T., Mechanics of Fibrous Composites, Virginia: Johan Wiley and Sons, 1998.
27. Ozisik, N.M., Heat Conduction, New York: John Wiley and Sons, 1993.
28. Jafari, M., Moussavian, H., and Bayati, M.H.C., Optimum Design of Perforated Orthotropic and Laminated Composite Plates under In-Plane Loading by Genetic Algorithm, Struct. Multidiscip. Optim., 2018, vol. 57, pp. 341–357.10.1007/s00158-017-1758-5 ↗
29. Chao, C.K. and Shen, M.H., Thermal Stresses in a Generally Anisotropic Body with an Elliptic Inclusion Subject to Uniform Heat Flow, J. Appl. Mech., 1998, pp. 51–65.10.1115/1.2789045 ↗