APPLICATION OF HOOKE’S LAW TO ANGLE PLY LAMINA

Yıl 2022, Cilt 23, Sayı 4, 244 - 255, 29.12.2022

Cagatay YİLMAZ Hafiz Qasim ALİ Mehmet YILDIZ

https://doi.org/10.18038/estubtda.1054195

Öz

Aerospace-grade carbon fiber reinforced polymer composite plates with four different fiber orientations 0º, 30º, 45ºand 60º is produced with the autoclave curing method and subjected to tensile testing. The stress-strain curves of the composite specimens are compared with Hooke’s law. It is observed that Hooke’s law coincides precisely with the experimental results for samples containing fibers parallel to the loading direction. However, it does not coincide with samples where the fibers make a certain angle with the applied load direction.. Moreover, it is reported that Hooke’s law converges the experimental results for small strain values but diverges significantly from the experimental results at higher strain values.

Anahtar Kelimeler

Hooke’s law, composite lamina, tensile test, angle ply lamina

Kaynakça

• [1] Yilmaz C, Yildiz M. A study on correlating reduction in Poisson’s ratio with transverse crack and delamination through acoustic emission signals. Polym Test 2017;63:47–53. https://doi.org/10.1016/j.polymertesting.2017.08.001.
• [2] Yilmaz C, Akalin C, Gunal I, Celik H, Buyuk M, Suleman A, et al. A hybrid damage assessment for E-and S-glass reinforced laminated composite structures under in-plane shear loading. Compos Struct 2018;186:347–54. https://doi.org/10.1016/j.compstruct.2017.12.023.
• [3] Yilmaz C, Akalin C, Kocaman ES, Suleman A, Yildiz M. Monitoring Poisson’s ratio of glass fiber reinforced composites as damage index using biaxial Fiber Bragg Grating sensors. Polym Test 2016;53:98–107. https://doi.org/https://doi.org/10.1016/j.polymertesting.2016.05.009.
• [4] Ali HQ, Emami Tabrizi I, Khan RMA, Tufani A, Yildiz M. Microscopic analysis of failure in woven carbon fabric laminates coupled with digital image correlation and acoustic emission. Compos Struct 2019;230:111515. https://doi.org/https://doi.org/10.1016/j.compstruct.2019.111515.
• [5] Munoz V, Valès B, Perrin M, Pastor M-L, Welemane H, Cantarel A, et al. Damage detection in CFRP by coupling acoustic emission and infrared thermography. Compos Part B Eng 2016;85:68–75.
• [6] Emami Tabrizi I, Alkhateab B, Seyyed Monfared Zanjani J, Yildiz M. Using digital image correlation for in situ strain and damage monitoring in hybrid fiber laminates under in-plane shear loading. Polym Compos 2021;n/a. https://doi.org/https://doi.org/10.1002/pc.26114.
• [7] Saeedifar M, Saleh MN, El-Dessouky HM, Teixeira De Freitas S, Zarouchas D. Damage assessment of NCF, 2D and 3D woven composites under compression after multiple-impact using acoustic emission. Compos Part A Appl Sci Manuf 2020;132:105833. https://doi.org/https://doi.org/10.1016/j.compositesa.2020.105833.
• [8] Strungar EM, Yankin AS, Zubova EM, Babushkin A V, Dushko AN. Experimental study of shear properties of 3D woven composite using digital image correlation and acoustic emission. Acta Mech Sin 2019:1–12.
• [9] Khan RMA, Tabrizi IE, Ali HQ, Demir E, Yildiz M. Investigation on interlaminar delamination tendency of multidirectional carbon fiber composites. Polym Test 2020;90. https://doi.org/10.1016/j.polymertesting.2020.106653.
• [10] Khan RMA, Saeidiharzand S, Emami Tabrizi I, Ali HQ, Yildiz M. A novel hybrid damage monitoring approach to understand the correlation between size effect and failure behavior of twill CFRP laminates. Compos Struct 2021; 270: 114064. https://doi.org/https://doi.org/10.1016/j.compstruct.2021.114064.
• [11] Evran S. Buckling temperature analysis of laminated composite plates with circular and semicircular holes. Eskişehir Tech Univ J Sci Technol A - Appl Sci Eng 2020;21:173–81.
• [12] Ubaid J, Kashfuddoja M, Ramji M. Strength prediction and progressive failure analysis of carbon fiber reinforced polymer laminate with multiple interacting holes involving three dimensional finite element analysis and digital image correlation. Int J Damage Mech 2014;23:609–35.
• [13] Hara E, Yokozeki T, Hatta H, Ishikawa T, Iwahori Y. Effects of geometry and specimen size on out-of-plane tensile strength of aligned CFRP determined by direct tensile method. Compos Part A Appl Sci Manuf 2010;41:1425–33. https://doi.org/https://doi.org/10.1016/j.compositesa.2010.06.003.
• [14] Nicoletto G, Anzelotti G, Riva E. Mesoscopic strain fields in woven composites: experiments vs. finite element modeling. Opt Lasers Eng 2009;47:352–9.
• [15] Tabrizi IE, Khan RMA, Massarwa E, Zanjani JSM, Ali HQ, Demir E, et al. Determining tab material for tensile test of CFRP laminates with combined usage of digital image correlation and acoustic emission techniques. Compos Part A Appl Sci Manuf 2019; 127. https://doi.org/10.1016/j.compositesa.2019.105623.
• [16] Akın Ataş Oİ. Experımental characterisation and prediction of elastic properties of woven fabric reinforced textile composıte laminates. Eskişehir Tech Univ J Sci Technol A - Appl Sci Eng 2018;19:660–70.
• [17] Merve Çobanoğlu Fahrettin Öztürk REE. Thermoforming process parameter optimization of thermoplastic pekk/cf and PPS. Eskişehir Tech Univ J Sci Technol A - Appl Sci Eng 2021;22:51–8.
• [18] Massarwa E, Emami Tabrizi I, Yildiz M. Mechanical behavior and failure of glass/carbon fiber hybrid composites: Multiscale computational predictions validated by experiments. Compos Struct 2021;260:113499. https://doi.org/https://doi.org/10.1016/j.compstruct.2020.113499.
• [19] Philippidis TP, Theocaris PS. The Transverse Poisson’s Ratio in Fiber Reinforced Laminae by Means of a Hybrid Experimental Approach. J Compos Mater 1994;28:252–61. https://doi.org/10.1177/002199839402800304.
• [20] Lim T-C. Coefficient of thermal expansion of stacked auxetic and negative thermal expansion laminates. Phys Status Solidi 2011;248:140–7. https://doi.org/https://doi.org/10.1002/pssb.200983970.
• [21] Parnas L, Katırcı N. Design of fiber-reinforced composite pressure vessels under various loading conditions. Compos Struct 2002;58:83–95. https://doi.org/https://doi.org/10.1016/S0263-8223(02)00037-5.
• [22] Vnučec Z. Analysis of the laminated composite plate under combined loads. 5th Int. Sci. Conf. Prod. Eng., 2005, p. 143–8.
• [23] Migliaresi C. Chapter I.2.9 - Composites. In: Ratner BD, Hoffman AS, Schoen FJ, Lemons JEBT-BS (Third E, editors., Academic Press; 2013, p. 223–41. https://doi.org/https://doi.org/10.1016/B978-0-08-087780-8.00024-3.
• [24] Kaw AK. Mechanics of composite materials. CRC press; 2005.
• [25] Öchsner A. Macromechanics of a Lamina BT - Foundations of Classical Laminate Theory. In: Öchsner A, editor., Cham: Springer International Publishing; 2021, p. 11–39. https://doi.org/10.1007/978-3-030-82631-4_2.
• [26] Ali HQ, Yilmaz Ç, Yildiz M. The effect of different tabbing methods on the damage progression and failure of carbon fiber reinforced composite material under tensile loading. Polym Test 2022:107612. https://doi.org/https://doi.org/10.1016/j.polymertesting.2022.107612.
• [27] Standard Test Method for Tensile Properties of Polymer Matrix Composite Materials n.d.
• [28] Materials AS for T and. Standard Test Method for In-plane Shear Response of Polymer Matrix Composite Materials by Tensile Test of a ±45 o Laminate. ASTM International; 2007.