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Erschienen in: International Journal of Mechanics and Materials in Design 3/2019

25.10.2018

A novel hybrid-Trefftz finite element for symmetric laminated composite plates

verfasst von: M. C. Ray

Erschienen in: International Journal of Mechanics and Materials in Design | Ausgabe 3/2019

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Abstract

A novel hybrid-Trefftz finite element (HTFE) for the analysis of symmetric laminated composite plates has been developed. Unlike the existing HTFE formulations, the derivation of this HTFE does not require the particular solutions of simultaneous governing partial differential equations. The Trefftz functions are constructed from the exact solutions of the homogeneous simultaneous governing partial differential equations in a straight forward manner without transforming them into a single governing equation. The HTFE is validated with the authenticated exact solutions. It is observed that this HTFE is an efficient finite element for analyzing laminated composite structures.

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Literatur
Zurück zum Zitat Cao, C., Yu, A., Qin, Q.H.: A novel hybrid finite element model for modeling anisotropic composites. Finite Elem. Anal. Des. 64, 36–47 (2013)MathSciNetCrossRefMATH Cao, C., Yu, A., Qin, Q.H.: A novel hybrid finite element model for modeling anisotropic composites. Finite Elem. Anal. Des. 64, 36–47 (2013)MathSciNetCrossRefMATH
Zurück zum Zitat Cen, S., Shang, Y., Li, C.-F., Li, H.-G.: Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate. Int. J. Numer. Methods Eng. 98, 203–234 (2014)MathSciNetCrossRefMATH Cen, S., Shang, Y., Li, C.-F., Li, H.-G.: Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate. Int. J. Numer. Methods Eng. 98, 203–234 (2014)MathSciNetCrossRefMATH
Zurück zum Zitat Choo, Y.S., Choi, N., Lee, B.C.: A new hybrid-Trefftz triangular and quadrilateral plate elements. Appl. Math. Model. 34, 14–23 (2010)MathSciNetCrossRefMATH Choo, Y.S., Choi, N., Lee, B.C.: A new hybrid-Trefftz triangular and quadrilateral plate elements. Appl. Math. Model. 34, 14–23 (2010)MathSciNetCrossRefMATH
Zurück zum Zitat Fu, Z.-J., Qin, Q.H., Chen, W.: Hybrid-Trefftz finite element method for heat conduction in nonlinear functionally graded materials. Eng. Comput. 28, 578–599 (2011)CrossRefMATH Fu, Z.-J., Qin, Q.H., Chen, W.: Hybrid-Trefftz finite element method for heat conduction in nonlinear functionally graded materials. Eng. Comput. 28, 578–599 (2011)CrossRefMATH
Zurück zum Zitat Fu, Z.-J., Chen, W., Yang, H.-T.: Boundary particle method for Laplace transformed time fractional diffusion equations. J. Comput. Phys. 235, 52–66 (2013)MathSciNetCrossRefMATH Fu, Z.-J., Chen, W., Yang, H.-T.: Boundary particle method for Laplace transformed time fractional diffusion equations. J. Comput. Phys. 235, 52–66 (2013)MathSciNetCrossRefMATH
Zurück zum Zitat Fu, Z.-J., Xi, Q., Chen, W., Cheng, A.H.D.: A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations. Comput. Math. Appl. 76, 760–773 (2018)MathSciNetCrossRef Fu, Z.-J., Xi, Q., Chen, W., Cheng, A.H.D.: A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations. Comput. Math. Appl. 76, 760–773 (2018)MathSciNetCrossRef
Zurück zum Zitat Jirousek, J.: Basis for development of large finite elements locally satisfying all filed equations. Comput. Methods Appl. Mech. Eng. 14, 65–92 (1978)CrossRefMATH Jirousek, J.: Basis for development of large finite elements locally satisfying all filed equations. Comput. Methods Appl. Mech. Eng. 14, 65–92 (1978)CrossRefMATH
Zurück zum Zitat Jirousek, J., Guex, L.: The hybrid-Trefftz finite element model and its application to plate bending. Int. J. Numer. Methods Eng. 23, 651–693 (1986)MathSciNetCrossRefMATH Jirousek, J., Guex, L.: The hybrid-Trefftz finite element model and its application to plate bending. Int. J. Numer. Methods Eng. 23, 651–693 (1986)MathSciNetCrossRefMATH
Zurück zum Zitat Karkon, M.: Hybrid-Trefftz formulation for analysis of anisotropic and symmetric laminated plates. Compos. Struct. 134, 460–474 (2015)CrossRef Karkon, M.: Hybrid-Trefftz formulation for analysis of anisotropic and symmetric laminated plates. Compos. Struct. 134, 460–474 (2015)CrossRef
Zurück zum Zitat Karkon, M., Pajand-Rezaiee, M.: Hybrid-Trefftz formulation for analysis of thick orthotropic plates. Aerosp. Sci. Technol. 50, 234–244 (2016)CrossRef Karkon, M., Pajand-Rezaiee, M.: Hybrid-Trefftz formulation for analysis of thick orthotropic plates. Aerosp. Sci. Technol. 50, 234–244 (2016)CrossRef
Zurück zum Zitat Kita, E., Kamiya, N.: Trefftz method: an overview. Adv. Eng. Softw. 24, 3–12 (1995)CrossRefMATH Kita, E., Kamiya, N.: Trefftz method: an overview. Adv. Eng. Softw. 24, 3–12 (1995)CrossRefMATH
Zurück zum Zitat Pagano, N.J.: Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater. 4, 20–34 (1970)CrossRef Pagano, N.J.: Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater. 4, 20–34 (1970)CrossRef
Zurück zum Zitat Pandya, B., Kant, T.: Flexural analysis of laminated composites using refined higher-order C0 plate bending elements. Comput. Methods Appl. Mech. Eng. 66, 173–198 (1988)CrossRefMATH Pandya, B., Kant, T.: Flexural analysis of laminated composites using refined higher-order C0 plate bending elements. Comput. Methods Appl. Mech. Eng. 66, 173–198 (1988)CrossRefMATH
Zurück zum Zitat Petrolito, J.: Hybrid-Trefftz quadrilateral elements for thick plate analysis. Comput. Methods Appl. Mech. Eng. 78, 331–351 (1990)CrossRefMATH Petrolito, J.: Hybrid-Trefftz quadrilateral elements for thick plate analysis. Comput. Methods Appl. Mech. Eng. 78, 331–351 (1990)CrossRefMATH
Zurück zum Zitat Petrolito, J.: Triangular thick plate elements based on a hybrid-Trefftz approach. Comput. Struct. 60, 883–894 (1996)CrossRefMATH Petrolito, J.: Triangular thick plate elements based on a hybrid-Trefftz approach. Comput. Struct. 60, 883–894 (1996)CrossRefMATH
Zurück zum Zitat Petrolito, J.: Vibration and stability analysis of thick orthotropic plates using hybrid-Trefftz elements. Appl. Math. Model. 38, 5858–5869 (2014)MathSciNetCrossRefMATH Petrolito, J.: Vibration and stability analysis of thick orthotropic plates using hybrid-Trefftz elements. Appl. Math. Model. 38, 5858–5869 (2014)MathSciNetCrossRefMATH
Zurück zum Zitat Qin, Q.H.: Dual varialtional formulation for Trefftz finite element method of elastic materials. Mech. Res. Commun. 31, 321–330 (2004)CrossRefMATH Qin, Q.H.: Dual varialtional formulation for Trefftz finite element method of elastic materials. Mech. Res. Commun. 31, 321–330 (2004)CrossRefMATH
Zurück zum Zitat Qin, Q.H., Wang, H.: Matlab and C Programming for Trefftz Finite Element Method. CRC Press, Boca Raton (2008)CrossRef Qin, Q.H., Wang, H.: Matlab and C Programming for Trefftz Finite Element Method. CRC Press, Boca Raton (2008)CrossRef
Zurück zum Zitat Reddy, J.N.: Mechanics of Laminated Composite Plates Theory and Analysis. CRC Press, Boca Raton (1997)MATH Reddy, J.N.: Mechanics of Laminated Composite Plates Theory and Analysis. CRC Press, Boca Raton (1997)MATH
Zurück zum Zitat Reddy, J.N.: Energy and Variational Method in Applied Mechanics with an Introduction to the Finite Element Method, p. 110002. Wiely, New Delhi (2016) Reddy, J.N.: Energy and Variational Method in Applied Mechanics with an Introduction to the Finite Element Method, p. 110002. Wiely, New Delhi (2016)
Zurück zum Zitat Rezaiee-Pajand, M., Karkon, M.: Two efficient hybrid-Trefftz elements for plate bending analysis. Latin Am. J. Solids Struct. 9, 43–67 (2012)CrossRefMATH Rezaiee-Pajand, M., Karkon, M.: Two efficient hybrid-Trefftz elements for plate bending analysis. Latin Am. J. Solids Struct. 9, 43–67 (2012)CrossRefMATH
Metadaten
Titel
A novel hybrid-Trefftz finite element for symmetric laminated composite plates
verfasst von
M. C. Ray
Publikationsdatum
25.10.2018
Verlag
Springer Netherlands
Erschienen in
International Journal of Mechanics and Materials in Design / Ausgabe 3/2019
Print ISSN: 1569-1713
Elektronische ISSN: 1573-8841
DOI
https://doi.org/10.1007/s10999-018-9422-9

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