Analytical Study on the Effect of Stacking Sequence on the Maximum Allowable Heat Flux in Perforated Symmetric Composite Laminates Subjected to Uniform Heat Flux

Journal of Solid Mechanics

مقاله 6، دوره 14، شماره 3، آذر 2022، صفحه 361-376   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2021.1929863.1695

نویسندگان

M.H Bayati Chaleshtari¹؛ H Khoramishad^{* 1}؛ M Jafari²

¹Adhesively Bonded and Sandwich Structures Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

²Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran

چکیده

An analytical solution was used for obtaining the maximum allowable heat flux in symmetric composite laminates containing a quasi-square cutout with different stacking sequences subjected to uniform heat flux. The Tsai-Hill criterion was used to assess the maximum allowable heat flux of the laminate. The analytical solution was obtained based on the thermoelasticity theory and the Lekhnitskii’s method. Furthermore, by employing a suitable mapping function, the solution of symmetric laminates with a circular cutout was extended to the quasi-square cutout. The quasi-square cutout was studied in a symmetric laminate made of Glass/epoxy with different stacking sequences of [0/90]_S, [45/-45]_S , [30/-30]_S. The results showed that the maximum allowable heat flux experienced in perforated plates can be improved by considering the appropriate stacking sequence and the optimal values of the cutout parameters. According to the results, the best cutout geometry was not always a circle, as in some cases by choosing the appropriate values of bluntness parameter, cutout orientation, heat flux angle, cutout aspect ratio and laminate stacking sequence, a non-circular cutout provided higher maximum allowable heat flux value for a perforated plate than a circular cutout.

کلیدواژه‌ها

Stacking sequence؛ Maximum allowable heat flux؛ Cutout orientation angle؛ Heat flux angle؛ Quasi-squared cutout؛ Complex variable method

مراجع

1.  Dai L., Chen Y., Wang Y., Lin Y., 2020, Experimental and numerical analysis on vibration of plate with multiple cutouts based on primitive cell plate with double cutouts, International Journal of Mechanical Sciences 183:
2.  Kathiresan M., 2020, Influence of shape, size and location of cutouts on crashworthiness performance of aluminum conical frusta under quasi-static axial compression, Thin-Walled Structures 154:
3.  Hussein O.S., Mulani S.B., 2018, Optimization of in-plane functionally graded panels for buckling strength: Unstiffened, stiffened panels, and panels with cutouts, Thin-Walled Structures 122: 173-
4.  Muskhelishvili N., 1977, Some Basic Problems of Mathematical Theory of Elasticity, Netherlands, Noordhooff, Groningen, Holland.
5.  Lekhnitskii S.G., 1969, Anisotropic Plates, Gordon and Breach Science, New York.
6.  Florence A.L., Goodier J.N., 1959, Thermal stress at spherical cavities and circular holes in uniform heat flow, Journal of Applied Mechanics 26: 293-
7.  Florence A.L., Goodier J.N., 1960, Thermal stresses due to disturbance of uniform heat flow by an insulated ovaloid hole, Journal of Applied Mechanics 27: 635-
8.  Hasebe N., Wang X., 2005, Complex variable method for thermal stress problem, Journal of Thermal Stresses 28: 595-
9.  Tarn J.Q., Wang Y.M., 1993, Thermal stresses in anisotropic bodies with a hole or a rigid inclusion, Journal of Thermal Stresses 16: 455-
10.  Rezaeepazhand J., Jafari M., 2005, Stress analysis of perforated composite plates, Composite Structures 71: 463-
11.  Jafari M., Bayati Chaleshtari M.H., 2017, Using dragonfly algorithm for optimization of orthotropic infinite plates with a quasi-triangular cut-out, European Journal of Mechanics - A/Solids 66: 1-
12.  Ehsani A., Rezaeepazhand J., 2016, Stacking sequence optimization of laminated composite grid plates for maximum buckling load using genetic algorithm, International Journal of Mechanical Sciences 119: 97-
13.  Huang J., Li C., Liu W., 2020, Investigation of internal friction and fracture fatigue entropy of CFRP laminates with various stacking sequences subjected to fatigue loading, Thin-Walled Structures 155: 106978.
14.  Al-saadi A.U., Aravinthan T., Lokuge W., 2019, Effects of fibre orientation and layup on the mechanical properties of the pultruded glass fibre reinforced polymer tubes, Engineering Structures 198:
15.  Wu Z., Zhang Q., Li B., Liu Y., Pan Z., 2020, Transverse impact response and residual flexure characteristics of braided composite tubes: Effect of stacking sequence, Thin-Walled Structures 155:
16.  Wei R., Pan G., Jiang J., Shen K., Lyu D., 2019, An efficient approach for stacking sequence optimization of symmetrical laminated composite cylindrical shells based on a genetic algorithm, Thin-Walled Structures 142: 160-
17.  Ukadgaonker V.G., Rao D.K.N., 2000, A general solution for stresses around holes in symmetric laminates under inplane loading, Composite Structures 49: 339-
18.  Sharma D.S., 2015, Stresses around polygonal hole in an in finite laminated composite plate, European Journal of Mechanics / A Solids 54: 44-
19.  Sharma D.S., 2016, Stresses around hypotrochoidal hole in infinite isotropic plate, International Journal of Mechanical Sciences 105: 32-
20.  Mousanezhad Viyand D., Yazdani Sarvestani H., Nosier A., 2013, Stress analysis in symmetric composite laminates subjected to shearing loads, International Journal of Mechanical Sciences 75: 16-
21.  Pang S.J., Zhou Y.T., Li F.J., 2018, Analytic solutions of thermoelectric materials containing a circular hole with a straight crack, International Journal of Mechanical Sciences 144: 731-
22.  Kaczyński A., 2014, Thermal stress analysis of a three-dimensional anticrack in a transversely isotropic solid, International Journal of Solids and Structures 51: 2382-
23.  Dave J.M., Sharma S., 2018, Stress field around rectangular hole in functionally graded plate, International Journal of Mechanical Sciences 136: 360-370.
24.  Rasouli M., Jafari M., 2016, Thermal stress analysis of infinite anisotropic plate with elliptical hole under uniform heat flux, Journal of Thermal Stresses 39: 1341-
25.  Chao C.K., Chen F.M., Lin T.H., 2017, Thermal stresses induced by a remote uniform heat flow interacting with two circular inclusions, Journal of Thermal Stresses 40: 564-
26.  Chao C.K., Gao B., 2001, Mixed boundary-value problems of two-dimensional anisotropic thermoelasticity with elliptic boundaries, International Journal of Solids and Structures 38: 5975-
27.  Chaudhuri R.A., 2010, Transverse shear stress distribution through thickness near an internal part-through elliptical hole in a stretched plate, Composite Structures 92: 818-
28.  Chaudhuri R.A., Seide P., 2010, Interlaminar shear stresses around an internal part-through hole in a laminated composite plate, Composite Structures 92: 835-
29.  Nageswara Rao D.K., Ramesh Babu M., Raja Narender Reddy K., Sunil D., 2010, Stress around square and rectangular cutouts in symmetric laminates, Composite Structures 92: 2845-
30.  Zhou S., Sun Y., Chen B., Tay E., 2017a, Progressive damage simulation of open-hole composite laminates under compression based on different failure criteria, Journal of Composite Materials 51: 1239-1251.
31.  Zhou S., Sun Y., Chen B., Tay T.E., 2017b, Material orthotropy effects on progressive damage analysis of open-hole composite laminates under tension, Journal of Reinforced Plastics and Composites 36: 1473-
32.  Patel N.P., Sharma D.S., 2019, An analytical investigation of the best stacking sequence of a symmetric laminated composite plate weakened by a hole, Mathematics and Mechanics of Solids 24: 1387-
33.  Tian K., Zhou S., Yang C., Zhang J., Zhou C., 2019, Tension failure simulation of notched composite laminate using floating node method combined with in-situ effect theory, Journal of Materials Research and Technology 8: 2494-
34.  Sharma D.S., Patel N.P., Trivedi R.R., 2014, Optimum design of laminates containing an elliptical hole, International Journal of Mechanical Sciences 85: 76-
35.  Jafari M., Moussavian H., Chaleshtari M.H.B., 2018, Optimum design of perforated orthotropic and laminated composite plates under in-plane loading by genetic algorithm, Structural and Multidisciplinary Optimization 57: 341-
36.  Jafari M., Jafari M., 2019, Thermal stress analysis of orthotropic plate containing a rectangular hole using complex variable method, European Journal of Mechanics A/Solids 73: 212-
37.  Herakovich C.T., 1998, Mechanics of Fibrous Composites, Johan Wiley & Sons, University of Virginia, Virginia.
38.  Jafari M., Bayati Chaleshtari M.H., Ardalani E., 2018, Determination of optimal parameters for finite plates with a quasi-square hole, Journal of Solid Mechanics 10(2): 300-
39.  Bayati Chaleshtari M.H., Khoramishad H., 2021, Effect of stacking sequence on thermal stresses in laminated plates with a quasi-square cutout using the complex variable method, Structural Engineering and Mechanics 77(2): 245-259.