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Post-buckling Analysis of Functionally Graded Materials Structures with Enhanced Solid-Shell Elements

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Design and Modeling of Mechanical Systems—III (CMSM 2017)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This paper presents a first-order solid-shell element for the post-buckling behavior of functionally graded material (FGM) structures based on the enhanced assumed strain (EAS) with five parameters. The EAS three-dimentional finite element formulation presented in this paper is free from shear locking and leads to accurate results for distorted element shapes. The transverse shear strain is formulated by the assumed natural strain (ANS) method, which ensures a constant distribution through the thickness and requires the introduction of shear correction factors. The transverse shear correction factors are calculated using a computational algorithm based on the static equilibrium and energy equivalence between the shear energy of the shell and the energy from three-dimentional theory. Material properties are varied continuously in the thickness direction according to different distributions. This finite element is used to study the post-buckling behavior of FGM structures and to investigate the influence of same parameters on post-buckling. Comparisons of numerical results among existing ones show the performance of the developed elements.

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References

  • Arciniega RA, Reddy JN (2007) Large deformation analysis of functionally graded shells. Int J Solids Struct 44(6):2036–2052

    Article  MATH  Google Scholar 

  • Behjat B, Sadighi M, Armin A, Abbasi M, Salehi M (2009) Static, dynamic and free vibration analysis of functionally graded piezoelectric panels using finite element method. J Intell Mater Syst Struct 20(13):1635–1646

    Article  Google Scholar 

  • Frikha A, Dammak F (2017) Geometrically nonlinear static analysis of functionally graded material shells with a discrete double directors shell element. Comput Methods Appl Mech Engrg 315:1–24

    Article  MathSciNet  Google Scholar 

  • Frikha A, Wali M, Hajlaoui A, Dammak F (2016) Dynamic response of functionally graded material shells with a discrete double directors shell element. Compos Struct 154:385–395

    Article  Google Scholar 

  • Ganapathi M, Prakash T, Sundararajan N (2006) Influence of functionally graded material on buckling of skew plates under mechanical loads. J Eng Mech 132(8):902–905

    Article  Google Scholar 

  • Hajlaoui A, Jarraya A, El Bikri K, Dammak F (2015) Buckling analysis of functionally graded materials structures with enhanced solid-shell elements and transverse shear correction. Compos Struct 132:87–97

    Article  Google Scholar 

  • Hajlaoui A, Jarraya A, Kallel-Kammoun I, Dammak F (2012) Buckling analysis of a laminated composite plate with delaminations using the enhanced assumed strain solid shell element. J Mech Sci Technol 26:3213–3221

    Article  Google Scholar 

  • Hajlaoui A, Triki E, Frikha A, Wali M, Dammak F (2017) Nonlinear dynamics analysis of FGM shell structures with a higher order shear strain enhanced solid-shell element. Lat Am J Solids Struct 14:72–91

    Article  Google Scholar 

  • Hajlaoui A, Wali M, Ben Jdidia M, Dammak F (2016) An improved enhanced solid shell element for static and buckling analysis of shell structures. Mech Ind 17:510

    Article  Google Scholar 

  • Park JS, Kim JH (2006) Thermal post buckling and vibration analyses of functionally graded plates. J Sound Vib 289(1–2):77–93

    Article  MATH  Google Scholar 

  • Reddy JN, Chin CD (1998) Thermo mechanical analysis of functionally graded cylinders and plates. J Therm Stresses 21(6):593–626

    Article  Google Scholar 

  • Timoshenko SP, Gere JM (1961) Theory of elastic stability, 2nd edn. McGraw-Hill, New York

    Google Scholar 

  • Wali M, Hajlaoui A, Dammak F (2014) Discrete double directors shell element for the functionally graded material shell structures analysis. Comput Methods Appl Mech Eng 278:388–403

    Article  MathSciNet  Google Scholar 

  • Wali M, Hentati T, Jaraya A, Dammak F (2015) Free vibration analysis of FGM shell structures with a discrete double directors shell element. Compos Struct 125:295–303

    Article  Google Scholar 

  • Wu TL, Shukla KK, Huang JH (2007) Post-buckling analysis of functionally graded rectangular plates. Compos Struct 81:1–10

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Mechanical Modeling and Manufacturing Laboratory (LA2MP), National School of Engineers of Sfax, University of Sfax, B.P-1173-3038, Sfax, Tunisia

    A. Hajlaoui, E. Chebbi, E. Triki & F. Dammak

Authors
  1. A. Hajlaoui
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  2. E. Chebbi
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  3. E. Triki
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  4. F. Dammak
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Corresponding author

Correspondence to A. Hajlaoui .

Editor information

Editors and Affiliations

  1. National School of Engineers of Sfax, Sfax, Tunisia

    Mohamed Haddar

  2. National School of Engineers of Sfax, Sfax, Tunisia

    Fakher Chaari

  3. National School of Engineers of Monastir, Monastir, Tunisia

    Abdelmajid Benamara

  4. National School of Engineers of Monastir, Monastir, Tunisia

    Mnaouar Chouchane

  5. Sfax Preparatory Engineering Institute, Sfax, Tunisia

    Chafik Karra

  6. National School of Engineers of Monastir, Monastir, Tunisia

    Nizar Aifaoui

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Hajlaoui, A., Chebbi, E., Triki, E., Dammak, F. (2018). Post-buckling Analysis of Functionally Graded Materials Structures with Enhanced Solid-Shell Elements. In: Haddar, M., Chaari, F., Benamara, A., Chouchane, M., Karra, C., Aifaoui, N. (eds) Design and Modeling of Mechanical Systems—III. CMSM 2017. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-66697-6_33

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  • DOI: https://doi.org/10.1007/978-3-319-66697-6_33

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66696-9

  • Online ISBN: 978-3-319-66697-6

  • eBook Packages: EngineeringEngineering (R0)

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