Abstract
In this chapter, by employing a basis B-splines based finite element method, the natural frequency, critical buckling load and critical aerodynamic pressure of tow-steered composite laminate is numerically studied. The distinguishing feature of tow-steered composites when compared to conventional laminated composites is that in the former, a spatial variation of the fiber is considered. The plate kinematics accounts for the transverse shear deformations and an artificial shear correction factor is introduced to alleviate the shear locking problem. The effect of plate thickness, spatial variation of the fiber and the boundary conditions are systematically studied.
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References
Altenbach H (2011) Mechanics of advanced materials for lightweight structures. Proc Inst Mech Eng Part C J Mech Eng Sci 225(11):2481–2496
Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press
Ullah H, Harland AR, Silberschmidt VV (2015) Mater Des 88:149–156
Wang Y, Liu X, Zhu C, Parsons A, Liu J, Huang S, Ahmed I, Rudd C, Sharmin N (2019) Production and characterisation of novel phosphate glass fibre yarns, textiles, and textile composites for biomedical applications. J Mech Behav Biomed Mater 99:47–55
Gurdal Z, Olmedo R (1993) In-plane response of laminates with spatially varying fiber orientations-variable stiffness concept. AIAA J 31(4):751–758
Hyer MW, Lee HH (1991) The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes. Compos Struct 18(3):239–261
Tatting BF (1998) Analysis and design of variable stiffness composite cylinders. Ph.D. thesis. Virginia Tech
Wu KC, Gurdal Z (2006) Variable stiffness panel structural analyses with material nonlinearity and correlation with tests. In: 47th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference 14th AIAA/ASME/AHS adaptive structures conference 7th, p 2165
Lopes CS, Gürdal Z, Camanho PP (2008) Variable-stiffness composite panels: buckling and first-ply failure improvements over straight-fibre laminates. Comput Struct 86(9):897–907
Setoodeh S, Gürdal Z, Watson LT (2006) Design of variable-stiffness composite layers using cellular automata. Comput Methods Appl Mech Eng 195(9–12):836–851
Senocak E, Tanriover H (2007) Analysis of composite plates with variable stiffness using galerkin method. Aeronaut J 111(1118):247–255
Cairns DS, Mandell JF, Scott ME, Maccagnano JZ (1999) Design and manufacturing considerations for ply drops in composite structures. Compos Part B Eng 30(5):523–534
Her S-C (2002) Stress analysis of ply drop-off in composite structures. Compos Struct 57(1–4):235–244
Ribeiro P, Akhavan H, Teter A, Warmiński J (2014) A review on the mechanical behaviour of curvilinear fibre composite laminated panels. J Compos Mater 48(22):2761–2777
Hyer MW, Lee HH (1991) The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes. Compos Struct 18:239–261
Setoodeh S, Abdalla MM, Ijsselmuiden ST, Gürdal Z (2008) Design of variable stiffness composite panels for maximum buckling load. Compos Struct 87:109–117
Lopes CS, Gürdal Z, Camanho PP (2010) Tailoring for strength of composite steered fibre panels with cutouts. Compos Part A Appl Sci Manufact 41:1760–1767
Khani A, IJsselmuiden MM, Abdalla Z, Gürdal ST (2011) Design of variable stiffness panels for maximum strength using lamination parameters. Compos Part B Eng 42:546–552
Abdalla MM, Gürdal Z, Abdelal GF (2009) Thermomechanical response of variable stiffness composite panels. J Therm Stress 32:187–208
Akhavan H, Ribeiro P (2011) Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers. Compos Struct 93:3040–3047
Raju G, Wu Z, Kim BC, Weaver PM (2012) Prebuckling and buckling analysis of variable angle tow plates with general boundary conditions. Compos Struct 94:2961–2970
Raju G, Wu Z, Weaver PM (2013) Postbuckling analysis of variable angle tow plates using differential quadrature method. Compos Structs 106:74–84
Akhavan H, Ribeiro P, de Moura MFSF (2013) Large deflection and stresses in variable stiffness composite laminates with curvilinear fibers. Int J Mech Sci 73:14–26
Akhavan H, Ribeiro P, de Moura MFSF (2013) Composites laminates with linear varying fiber angles under static and dynamic loads. In: 54th AIAA/ASME/ASCE/AHS/ASC Structures, structural dynamics and materials Conference April 8–11, 2013 Boston, Massachusetts
Kim BC, Potter K, Weaver PM (2012) Continuous tow shearing for manufacturing variable angle tow composites. Compos Part A Appl Sci Manufact 43:1347–1356
Kim BC, Weaver PM, Potter K (2014) Manufacturing characteristics of the continuous tow shearing method for manufacturing of variable angle tow composites. Compos Part A Appl Sci Manufact 61:141–151
Falcó O, Mayugo JA, Lopes CS, Gascons N, Turon A, Costa J (2014) Variable stiffness composite panels: as-manufactured modeling and its influence on the failure behavior. Compos Part B Eng 56:660–669
Honda S, Narita Y (2012) Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths. J Sound Vib 331:180–191
Coburn BH, Wu Z, Weaver PM (2014) Buckling analysis of stiffened variable angle tow panels. Compos Struct 111:259–270
Natarajan S, Baiz PM, Bordas S, Rabczuk T, Kerfriden P (2011) Natural frequencies of cracked functionally graded material plates by the extended finite element method. Compos Struct 93(11):3082–3092
Akhavan H, Ribeiro P (2011) Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers. Compos Struct 93(11):3040–3047
Cottrell JA, Hughes TJR, Bazilevs Y (2009) Isogeometric analysis: toward integration of CAD and FEA. Wiley
Nguyen VP, Simpson RN, Bordas SPA, Rabczuk T (2012) An introduction to isogeometric analysis with matlab implementation: Fem and xfem formulations, p 6. arXiv preprint arXiv:1205.2129
Kikuchi F, Ishii K (1999) An improved 4-node quadrilateral plate bending element of the Reissner-Mindlin type. Comput Mech 23:240–249
Khdeir AA, Librescu L (1988) Analysis of symmetric cross-ply elastic plates using a higher-order theory: part II: buckling and free vibration. Eur J Mech A Solids 31:259–277
Liew KM, Huang YQ, Reddy JN (2003) Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comput Methods Appl Mech Eng 192:2203–2222
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Natarajan, S., Dsouza, S.M., Pramod, A.L.N., Hirshikesh, Adak, D., Kamdi, K. (2021). An Iso-Geometric Analysis of Tow-Steered Composite Laminates: Free Vibration, Mechanical Buckling and Linear Flutter Analysis. In: Sahoo, S. (eds) Recent Advances in Layered Materials and Structures. Materials Horizons: From Nature to Nanomaterials. Springer, Singapore. https://doi.org/10.1007/978-981-33-4550-8_17
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DOI: https://doi.org/10.1007/978-981-33-4550-8_17
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