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A Six-Variable Quasi-3D Model for Static Analysis of Laminated Composite Plates Using Isogeometric Analysis

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Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 20))

Abstract

In this paper, a six-variable quasi-3D model is developed for laminated composite plate subjected to thermal and mechanical loadings. With higher-order terms in the displacement fields, the plate model can capture both shear deformation and thickness stretching effects. Consequently, it enables us to achieve more accurate results in deflection, shear stress distributions, which are satisfied with traction free and interlaminate continuity conditions. The governing equation is derived from Galerkin weak form and then discretized by isogeometric analysis (IGA), which utilized NURBS basis function to fulfill C1-continuity requirement without additional variables.

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References

  1. Noor, A.K., Burton, W.S.: Three-dimensional solutions for thermal buckling of multilayered anisotropic plates. J. Eng. Mech. 118(4), 683–701 (1992)

    Article  Google Scholar 

  2. Bhaskar, K., Varadan, T., Ali, J.: Thermoelastic solutions for orthotropic and anisotropic composite laminates. Compos. Part B Eng. 27(5), 415–420 (1996)

    Article  Google Scholar 

  3. Reddy, J.N.: Mechanics of Laminated Composite Plates-Theory and Analysis, 2nd edn. CRC Press, New York (2004)

    MATH  Google Scholar 

  4. Wu, C., Tauchert, T.: Thermoelastic analysis of laminated plates. I: Symmetric specially orthotropic laminates. J. Therm. Stresses 3(2), 247–259 (1980)

    Article  Google Scholar 

  5. Rolfes, R., Noor, A., Sparr, H.: Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory. Comput. Methods Appl. Mech. Eng. 167(3–4), 355–368 (1998)

    Article  Google Scholar 

  6. Kant, T., Khare, R.: Finite element thermal stress analysis of composite laminates using a higher-order theory. J. Therm. Stresses 17(2), 229–255 (1994)

    Article  Google Scholar 

  7. Fazzolari, F.A., Carrera, E.: Thermo-mechanical buckling analysis of anisotropic multilayered composite and sandwich plates by using refined variable-kinematics theories. J. Therm. Stresses 36(4), 321–350 (2013)

    Article  Google Scholar 

  8. Carrera, E., Miglioretti, F., Petrolo, M.: Accuracy of refined finite elements for laminated plate analysis. Compos. Struct. 93(5), 1311–1327 (2011)

    Article  Google Scholar 

  9. Ganapathi, M., Makhecha, D.: Free vibration analysis of multi-layered composite laminates based on an accurate higher-order theory. Compos. Part B Eng. 32(6), 535–543 (2001)

    Article  Google Scholar 

  10. Kant, T., Shiyekar, S.: An assessment of a higher order theory for composite laminates subjected to thermal gradient. Compos. Struct. 96, 698–707 (2013)

    Article  Google Scholar 

  11. Matsunaga, H.: Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory. Compos. Struct. 68(4), 439–454 (2005)

    Article  Google Scholar 

  12. Ferreira, A.J.M., Roque, C., Carrera, E., Cinefra, M., Polit, O.: Analysis of sandwich plates by radial basis functions collocation, according to Murakami’s Zig-Zag theory. J. Sandwich Struct. Mater. 14(5), 505–524 (2012)

    Article  Google Scholar 

  13. Thai, C.H., Kulasegaram, S., Tran, L.V., Nguyen-Xuan, H.: Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach. Comput. Struct. 141, 94–112 (2014)

    Article  Google Scholar 

  14. Hughes, T.J.R., Cottrell, J.A., Bazilevs, Y.: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194(39–41), 4135–4195 (2005)

    Article  MathSciNet  Google Scholar 

  15. Thai, C.H., Ferreira, A.J.M., Bordas, S.P.A., Rabczuk, T., Nguyen-Xuan, H.: Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory. Eur. J. Mech. A/Solids 43, 89–108 (2014)

    Article  Google Scholar 

  16. Pagano, N.: Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater. 4(1), 20–34 (1970)

    Article  Google Scholar 

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Correspondence to Loc V. Tran .

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Tran, L.V., Abdel Wahab, M., Niiranen, J. (2019). A Six-Variable Quasi-3D Model for Static Analysis of Laminated Composite Plates Using Isogeometric Analysis. In: Abdel Wahab, M. (eds) Proceedings of the 1st International Conference on Numerical Modelling in Engineering . NME 2018. Lecture Notes in Civil Engineering , vol 20. Springer, Singapore. https://doi.org/10.1007/978-981-13-2405-5_11

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  • DOI: https://doi.org/10.1007/978-981-13-2405-5_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2404-8

  • Online ISBN: 978-981-13-2405-5

  • eBook Packages: EngineeringEngineering (R0)

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