Structural Engineering and Mechanics

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Effect of stacking sequence on thermal stresses in laminated plates with a quasi-square cutout using the complex variable method

  • Chaleshtari, Mohammad H. Bayati (Adhesively Bonded and Sandwich Structures Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology) ;
  • Khoramishad, Hadi (Adhesively Bonded and Sandwich Structures Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology)
  • Received : 2020.02.01
  • Accepted : 2020.09.11
  • Published : 2021.01.25
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Abstract

In this research, the influence of the laminate stacking sequence on thermal stress distribution in symmetric composite plates with a quasi-square cutout subjected to uniform heat flux is examined analytically using the complex variable technique. The analytical solution is obtained based on the thermo-elastic theory and the Lekhnitskii's method. Furthermore, by employing a suitable mapping function, the solution of symmetric laminates containing a circular cutout is extended to the quasi-square cutout. The effect of important parameters including the stacking sequence of laminates, the angular position, the bluntness, the aspect ratio of cutout, the flux angle and the composite material are examined on the thermal stress distribution. It is found out that the circular shape for cutout may not necessarily be the optimum geometry for all stacking sequences. The finite element analysis results are used to validate the analytical solution.

Keywords

References

  1. Barut, A. and Madenci, E. (2004), "Thermomechanical stress analysis of laminates with a cutout via a complex potentialvariational method", J. Therm. Stress.,27,1-31. https://doi.org/10.1080/01495730490255691
  2. Bayati Chaleshtari, M.H. and Jafari, M. (2017), "Optimized design for perforated plates with quasi-square hole by grey wolf optimizer", Struct. Eng. Mech., 63(3), 269-280.https://doi.org/https://doi.org/10.12989/sem.2017.63.3.269
  3. Bayati Chaleshtari, M.H. and Jafari, M. (2019), "Ant lion optimizer for optimization of finite perforated metallic plate", Struct. Eng. Mech., 69(6), 667-676. https://doi.org/10.12989/sem.2019.69.6.667
  4. Chao, C.K., Chen, F.M. and Lin, T.H. (2017), "Thermal stresses induced by a remote uniform heat flow interacting with two circular inclusions", J. Therm. Stress., 40, 564-582. https://doi.org/10.1080/01495739.2016.1228437
  5. Chao, C.K. and Gao, B. (2001), "Mixed boundary-value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries", Int. J. Solids Struct., 38, 5975-5994. https://doi.org/10.1016/S0020-7683(00)00403-0
  6. Chao, C.K. and Shen, M.H. (1998), "Thermal stresses in a generally anisotropic body with an elliptic inclusion subject to uniform heat flow", J. Appl. Mech, 65, 51-58. https://doi.org/10.1115/1.2789045
  7. Chauhan, M.M. and Sharma, D.S. (2016), "Stress concentration at the corners of polygonal hole in finite plate", Aerosp. Sci. Technol., 58, 197-206. https://doi.org/10.1016/j.ast.2016.08.014
  8. Choi, H.J. (2017), "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., 63, 1-13. https://doi.org/10.1016/j.euromechsol.2016.11.009
  9. Hasebe, N. and Han, J.J. (2016), "Green's function for infinite thin plate with elliptic hole under bending heat source and interaction between elliptic hole and crack under uniform bending heat flux", J. Therm. Stress., 39, 170-182. https://doi.org/10.1080/01495739.2015.1123964
  10. Hasebe, N. and Wang, X. (2005), "Complex variable method for thermal stress problem", J. Therm. Stress., 28, 595-648. https://doi.org/10.1080/01495730590932706
  11. Jafari, M., Bagher Nazari, M. and Taheri Nasab, A. (2016), "Study of the effective parameters on stress distribution around triangular hole in metallic plates subjected to uniform heat flux", J. Therm. Stress., 39, 333-344. https://doi.org/10.1080/01495739.2015.1125205
  12. Jafari, M. and Jafari, M. (2019), "Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method", Eur. J. Mech. A/Solids., 73, 212-223. https://doi.org/10.1016/j.euromechsol.2018.08.001
  13. Janjgava, R. and Narmania, M. (2016), "The solution of some two-dimensional problems of thermoelasticity taking into account the microtemperature", J. Therm. Stress., 39, 57-64. https://doi.org/10.1080/01495739.2015.1123587
  14. Joshi, P. V., Jain, N.K., Ramtekkar, G.D. and Singh Virdi, G. (2016), "Vibration and buckling analysis of partially cracked thin orthotropic rectangular plates in thermal environment", Thin-Walled Struct., 109, 143-158. https://doi.org/10.1016/j.tws.2016.09.020
  15. Ju, S.H., Liang, W.Y., Hsu, H.H. and Tarn, J.Q. (2019), "Analytic solution of angle-ply laminated plates under extension, bending, and torsion", J. Compos. Mater. https://doi.org/10.1177/0021998319873025
  16. Kaczynski, A. and Kozlowski, W. (2009), "Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpendicular heat flow", Int. J. Solids Struct., 46, 1772-1777. https://doi.org/10.1016/j.ijsolstr.2009.01.002
  17. Khechai, A. and Mohite, P.M. (2019), "Optimum design of perforated symmetric laminates using evolutionary algorithm", J. Compos. Mater., 53, 3281-3305. https://doi.org/10.1177/0021998318815324
  18. Lekhnitskii, S.G. (1969), Anisotropic Plates, Gordon and Breach Science, New York, NY, USA. https://doi.org/0677206704
  19. Li, L.H. and Yun, G.H. (2014), "Thermal stress analysis for octagonal quasicrystals", J. Therm. Stress., 37, 429-439. https://doi.org/10.1080/01495739.2013.870852
  20. Ozisik, N.M. (1993), Heat Conduction, Second Edied. John Wiley & Sons, New York, NY,USA.
  21. Rasouli, M. and Jafari, M. (2016), "Thermal stress analysis of infinite anisotropic plate with elliptical hole under uniform heat flux", J. Therm. Stress., 39, 1341-1355. https://doi.org/10.1080/01495739.2016.1216038
  22. Sharma, D.S. (2015), "Stresses around polygonal hole in an in finite laminated composite plate", Eur. J. Mech. / A Solids., 54, 44-52. https://doi.org/10.1016/j.euromechsol.2015.06.004
  23. Tarn, J.Q. and Wang, Y.M. (1993), "Thermal stresses in anisotropic bodies with a hole or a rigid inclusion", J. Therm. Stress., 16, 455-471. https://doi.org/10.1080/01495739308946240
  24. Tian, Z., Yang, Q. and Wang, A. (2015), "Three-dimensional stress analyses around cutouts in laminated composites by special hybrid finite elements", J. Compos. Mater., 50, 75-98. https://doi.org/10.1177/0021998315570509
  25. Ukadgaonker, V.G. and Rao, D.K.N. (2000), "A general solution for stresses around holes in symmetric laminates under inplane loading", Compos. Struct., 49, 339-354. https://doi.org/10.1016/S0263-8223(00)00070-2