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
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
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
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
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
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
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
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
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
Park JS, Kim JH (2006) Thermal post buckling and vibration analyses of functionally graded plates. J Sound Vib 289(1–2):77–93
Reddy JN, Chin CD (1998) Thermo mechanical analysis of functionally graded cylinders and plates. J Therm Stresses 21(6):593–626
Timoshenko SP, Gere JM (1961) Theory of elastic stability, 2nd edn. McGraw-Hill, New York
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
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
Wu TL, Shukla KK, Huang JH (2007) Post-buckling analysis of functionally graded rectangular plates. Compos Struct 81:1–10
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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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