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An Iso-Geometric Analysis of Tow-Steered Composite Laminates: Free Vibration, Mechanical Buckling and Linear Flutter Analysis

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Recent Advances in Layered Materials and Structures

Part of the book series: Materials Horizons: From Nature to Nanomaterials ((MHFNN))

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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

  1. Altenbach H (2011) Mechanics of advanced materials for lightweight structures. Proc Inst Mech Eng Part C J Mech Eng Sci 225(11):2481–2496

    Article  Google Scholar 

  2. Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press

    Google Scholar 

  3. Ullah H, Harland AR, Silberschmidt VV (2015) Mater Des 88:149–156

    Article  CAS  Google Scholar 

  4. 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

    Article  CAS  Google Scholar 

  5. Gurdal Z, Olmedo R (1993) In-plane response of laminates with spatially varying fiber orientations-variable stiffness concept. AIAA J 31(4):751–758

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. Tatting BF (1998) Analysis and design of variable stiffness composite cylinders. Ph.D. thesis. Virginia Tech

    Google Scholar 

  8. 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

    Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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

    Article  Google Scholar 

  11. Senocak E, Tanriover H (2007) Analysis of composite plates with variable stiffness using galerkin method. Aeronaut J 111(1118):247–255

    Article  Google Scholar 

  12. 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

    Article  Google Scholar 

  13. Her S-C (2002) Stress analysis of ply drop-off in composite structures. Compos Struct 57(1–4):235–244

    Article  Google Scholar 

  14. 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

    Article  Google Scholar 

  15. 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

    Article  Google Scholar 

  16. Setoodeh S, Abdalla MM, Ijsselmuiden ST, Gürdal Z (2008) Design of variable stiffness composite panels for maximum buckling load. Compos Struct 87:109–117

    Article  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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

    Article  Google Scholar 

  19. Abdalla MM, Gürdal Z, Abdelal GF (2009) Thermomechanical response of variable stiffness composite panels. J Therm Stress 32:187–208

    Article  Google Scholar 

  20. Akhavan H, Ribeiro P (2011) Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers. Compos Struct 93:3040–3047

    Article  Google Scholar 

  21. 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

    Article  Google Scholar 

  22. Raju G, Wu Z, Weaver PM (2013) Postbuckling analysis of variable angle tow plates using differential quadrature method. Compos Structs 106:74–84

    Article  Google Scholar 

  23. 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

    Article  Google Scholar 

  24. 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

    Google Scholar 

  25. 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

    Article  CAS  Google Scholar 

  26. 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

    Article  CAS  Google Scholar 

  27. 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

    Article  Google Scholar 

  28. 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

    Article  Google Scholar 

  29. Coburn BH, Wu Z, Weaver PM (2014) Buckling analysis of stiffened variable angle tow panels. Compos Struct 111:259–270

    Article  Google Scholar 

  30. 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

    Article  Google Scholar 

  31. Akhavan H, Ribeiro P (2011) Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers. Compos Struct 93(11):3040–3047

    Article  Google Scholar 

  32. Cottrell JA, Hughes TJR, Bazilevs Y (2009) Isogeometric analysis: toward integration of CAD and FEA. Wiley

    Google Scholar 

  33. 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

  34. Kikuchi F, Ishii K (1999) An improved 4-node quadrilateral plate bending element of the Reissner-Mindlin type. Comput Mech 23:240–249

    Article  Google Scholar 

  35. 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

    Google Scholar 

  36. 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

    Article  Google Scholar 

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Correspondence to S. Natarajan .

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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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