147
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Variable-kinematic finite elements for the aero-thermo-elastic analysis of variable stiffness composite laminates

&
Pages 676-692 | Received 11 Mar 2022, Accepted 26 Aug 2022, Published online: 26 Oct 2022

References

  • A. Viglietti, E. Zappino, and E. Carrera, Free vibration analysis of variable angle-tow composite wing structures, Aerosp. Sci. Technol., vol. 92, pp. 114–125, 2019. DOI: 10.1016/j.ast.2019.05.068.
  • M. W. Hyer, and R. F. Charette, Use of curvilinear fiber format in composite structure design, AIAA J., vol. 29, no. 6, pp. 1011–1015, 1991. DOI: 10.2514/3.10697.
  • Z. Gürdal, and R. Olmedo, In-plane response of laminates with spatially varying fiber orientations-variable stiffness concept, AIAA J., vol. 31, no. 4, pp. 751–758, 1993. DOI: 10.2514/3.11613.
  • B. F. Tatting, and Z. Gürdal, Design and manufacture of elastically tailored tow placed plates. Technical Report NASA/CR-2002-211919, National Aeronautics and Space Administration, Langley Research Center, Hampton, Virginia, 2002.
  • D. Jegley, B. F. Tatting, and Z. Gürdal, Optimization of elastically tailored tow-placed plates with holes. In Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, p. 1420, Norfolk, Virginia, 2003. DOI: 10.2514/6.2003-1420.
  • C. Wu, Z. Gürdal, and J. Starnes, Structural response of compression-loaded, tow-placed, variable stiffness panels. In Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, p. 1512, Denver, Colorado, 2002.
  • B. C. Kim, P. M. Weaver, and K. Potter, Manufacturing characteristics of the continuous tow shearing method for manufacturing of variable angle tow composites, Compos. A: Appl. Sci. Manuf., vol. 61, pp. 141–151, 2014. DOI: 10.1016/j.compositesa.2014.02.019.
  • B. C. Kim, P. M. Weaver, and K. Potter, Computer aided modelling of variable angle tow composites manufactured by continuous tow shearing, Compos. Struct., vol. 129, pp. 256–267, 2015. DOI: 10.1016/j.compstruct.2015.04.012.
  • P. Ribeiro, H. Akhavan, A. Teter, and J. Warmiński, A review on the mechanical behaviour of curvilinear fibre composite laminated panels, J. Compos. Mater., vol. 48, no. 22, pp. 2761–2777, 2014. DOI: 10.1177/0021998313502066.
  • G. G. Lozano, A. Tiwari, C. Turner, and S. Astwood, A review on design for manufacture of variable stiffness composite laminates, Proc. Inst. Mech. Eng. B J Eng. Manuf., vol. 230, no. 6, pp. 981–992, 2016. DOI: 10.1177/0954405415600012.
  • B. S. Aragh, E. B. Farahani, B. X. Xu, H. Ghasemnejad, and W. J. Mansur, Manufacturable insight into modelling and design considerations in fibre-steered composite laminates: State of the art and perspective, Comput. Methods Appl. Mech. Eng., vol. 379, pp. 113752, 2021. DOI: 10.1016/j.cma.2021.113752.
  • Z. Wu, P. M. Weaver, G. Raju, and B. C. Kim, Buckling analysis and optimisation of variable angle tow composite plates, Thin-Walled Struct., vol. 60, pp. 163–172, 2012. DOI: 10.1016/j.tws.2012.07.008.
  • Z. Wu, P. M. Weaver, and G. Raju, Postbuckling optimisation of variable angle tow composite plates, Compos. Struct., vol. 103, pp. 34–42, 2013. DOI: 10.1016/j.compstruct.2013.03.004.
  • S. Honda, and Y. Narita, Natural frequencies and vibration modes of laminated composite plates reinforced with arbitrary curvilinear fiber shape paths, J. Sound Vib., vol. 331, no. 1, pp. 180–191, 2012. DOI: 10.1016/j.jsv.2011.08.019.
  • X. Chen, Z. Wu, G. Nie, and P. Weaver, Buckling analysis of variable angle tow composite plates with a through-the-width or an embedded rectangular delamination, Int. J. Solids Struct., vol. 138, pp. 166–180, 2018. DOI: 10.1016/j.ijsolstr.2018.01.010.
  • O. Stodieck, J. E. Cooper, P. M. Weaver, and P. Kealy, Improved aeroelastic tailoring using tow-steered composites, Compos. Struct., vol. 106, pp. 703–715, 2013. DOI: 10.1016/j.compstruct.2013.07.023.
  • J. Fazilati, and V. Khalafi, Aeroelastic panel flutter optimization of tow-steered variable stiffness composite laminated plates using isogeometric analysis, J. Reinf. Plast. Compos., vol. 38, no. 19–20, pp. 885–895, 2019. DOI: 10.1177/0731684419854800.
  • M. M. Abdalla, Z. Gürdal, and G. F. Abdelal, Thermomechanical response of variable stiffness composite panels, J. Therm. Stresses., vol. 32, no. 1–2, pp. 187–208, 2008. DOI: 10.1080/01495730802540916.
  • A. V. Duran, N. A. Fasanella, V. Sundararaghavan, and A. M. Waas, Thermal buckling of composite plates with spatial varying fiber orientations, Compos. Struct., vol. 124, pp. 228–235, 2015. DOI: 10.1016/j.compstruct.2014.12.065.
  • A. Haldar, J. Reinoso, E. Jansen, and R. Rolfes, Thermally induced multistable configurations of variable stiffness composite plates: Semi-analytical and finite element investigation, Compos. Struct., vol. 183, pp. 161–175, 2018. DOI: 10.1016/j.compstruct.2017.02.014.
  • R. M. J. Groh, P. M. Weaver, S. White, G. Raju, and Z. Wu, A 2d equivalent single-layer formulation for the effect of transverse shear on laminated plates with curvilinear fibres, Compos. Struct., vol. 100, pp. 464–478, 2013. DOI: 10.1016/j.compstruct.2013.01.014.
  • W. Zhao, K. Singh, and R. K. Kapania, Thermal buckling analysis and optimization of curvilinearly stiffened plates with variable angle tow laminates, J. Spacecr. Rockets., vol. 56, no. 4, pp. 1189–1204, 2019. DOI: 10.2514/1.A34378.
  • W. Zhao, and R. K. Kapania, Prestressed vibration of stiffened variable-angle tow laminated plates, AIAA J., vol. 57, no. 6, pp. 2575–2593, 2019. DOI: 10.2514/1.J057719.
  • R. Vescovini, V. Oliveri, D. Pizzi, L. Dozio, and P. M. Weaver, A semi-analytical approach for the analysis of variable-stiffness panels with curvilinear stiffeners, Int. J. Solids Struct., vol. 188–189, pp. 244–260, 2020. DOI: 10.1016/j.ijsolstr.2019.10.011.
  • X. Ouyang, and Y. Liu, Flutter of variable stiffness composite laminates in supersonic flow with temperature effects, J. Compos. Mater., vol. 55, no. 23, pp. 3253–3266, 2021. DOI: 10.1177/00219983211007542.
  • H. Akhavan, and P. Ribeiro, Aeroelasticity of composite plates with curvilinear fibres in supersonic flow, Compos. Struct., vol. 194, pp. 335–344, 2018. DOI: 10.1016/j.compstruct.2018.03.101.
  • X. Chen, G. Nie, and Z. Wu, Application of Rayleigh-Ritz formulation to thermomechanical buckling of variable angle tow composite plates with general in-plane boundary constraint, Int. J. Mech. Sci., vol. 187, pp. 106094, 2020. DOI: 10.1016/j.ijmecsci.2020.106094.
  • H. Y. Sarvestani, A. H. Akbarzadeh, and M. Hojjati, Hygro-thermo-mechanical analysis of fiber-steered composite conical panels, Compos. Struct., vol. 179, pp. 146–160, 2017. DOI: 10.1016/j.compstruct.2017.07.055.
  • E. Carrera, M. Cinefra, M. Petrolo, and E. Zappino, Finite Element Analysis of Structures through Unified Formulation, John Wiley & Sons, Chichester, West Sussex, United Kingdom, 2014.
  • M. Filippi, A. Pagani, M. Petrolo, G. Colonna, and E. Carrera, Static and free vibration analysis of laminated beams by refined theory based on chebyshev polynomials, Compos. Struct., vol. 132, pp. 1248–1259, 2015. DOI: 10.1016/j.compstruct.2015.07.014.
  • E. Carrera, A. G. De Miguel, and A. Pagani, Hierarchical theories of structures based on legendre polynomial expansions with finite element applications, Int. J. Mech. Sci., vol. 120, pp. 286–300, 2017. DOI: 10.1016/j.ijmecsci.2016.10.009.
  • A. Pagani, A. G. De Miguel, M. Petrolo, and E. Carrera, Analysis of laminated beams via unified formulation and legendre polynomial expansions, Compos. Struct., vol. 156, pp. 78–92, 2016. DOI: 10.1016/j.compstruct.2016.01.095.
  • Y. Yan, E. Carrera, and A. Pagani, Free vibration analysis of curved metallic and composite beam structures using a novel variable-kinematic DQ method, Mech. Adv. Mater. Struct., 2021. DOI: 10.1080/15376494.2021.1909784.
  • A. Viglietti, E. Zappino, and E. Carrera, Analysis of variable angle tow composites structures using variable kinematic models, Compos. B. Eng., vol. 171, pp. 272–283, 2019. DOI: 10.1016/j.compositesb.2019.03.072.
  • A. Pagani, and A. R. Sanchez-Majano, Influence of fiber misalignments on buckling performance of variable stiffness composites using layerwise models and random fields, Mech. Adv. Mater. Struct., vol. 29, no. 3, pp. 384–399, 2002.
  • A. R. Sanchez-Majano, A. Pagani, M. Petrolo, and C. Zhang, Buckling sensitivity of tow-steered plates subjected to multiscale defects by high-order finite elements and polynomial chaos expansion, Materials., vol. 14, no. 11, pp. 2706, 2021. DOI: 10.3390/ma14112706.
  • M. Patni, S. Minera, R. M. J. Groh, A. Pirrera, and P. M. Weaver, On the accuracy of localised 3D stress fields in tow-steered laminated composite structures, Compos. Struct., vol. 225, pp. 111034, 2019. DOI: 10.1016/j.compstruct.2019.111034.
  • Y. Yan, B. Liu, Y. Xing, E. Carrera, and A. Pagani, Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements, Compos. Struct., vol. 274, pp. 114364, 2021. DOI: 10.1016/j.compstruct.2021.114364.
  • F. Xie, Y. Qu, W. Zhang, Z. Peng, and G. Meng, Nonlinear aerothermoelastic analysis of composite laminated panels using a general higher-order shear deformation zig-zag theory, Int. J. Mech. Sci., vol. 150, pp. 226–237, 2019. DOI: 10.1016/j.ijmecsci.2018.10.029.
  • A. H. Akbarzadeh, M. A. Nik, and D. Pasini, The role of shear deformation in laminated plates with curvilinear fiber paths and embedded defects, Compos. Struct., vol. 118, pp. 217–227, 2014. DOI: 10.1016/j.compstruct.2014.07.027.
  • J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press, Boca Raton, Florida, United States, 2004.
  • B. Liu, C. Liu, S. Lu, Y. Wu, Y. Xing, and A. J. M. Ferreira, A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration, Comput. Methods Appl. Mech. Eng., vol. 349, pp. 798–838, 2019. DOI: 10.1016/j.cma.2018.10.051.
  • S. P. Timoshenko, On the correction factor for shear of the differential equation for transverse vibrations of prismatic bar, Philos. Mag., vol. 6, no. 41, pp. 295, 1921.
  • Y. Yan, A. Pagani, and E. Carrera, Thermal buckling solutions of generic metallic and laminated structures: total and updated Lagrangian formulations via refined beam elements, J. Therm. Stresses., vol. 45, no. 8, pp. 669–694, 2022.
  • E. Carrera, F. A. Fazzolari, and M. Cinefra, Thermal Stress Analysis of Composite Beams, Plates and Shells: Computational Modelling and Applications, Academic Press, Kidlington, Oxford, United Kingdom, 2016.
  • K. Zhou, J. Su, and H. Hua, Aero-thermo-elastic flutter analysis of supersonic moderately thick orthotropic plates with general boundary conditions, Int. J. Mech. Sci., vol. 141, pp. 46–57, 2018. DOI: 10.1016/j.ijmecsci.2018.03.026.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.