Abstract
An edge-based smoothed finite element method (ES-FEM) was recently proposed to significantly improve the accuracy and convergence rate of traditional finite element method for static and force vibration analyses of plates and shells. In this paper, the ES-FEM is further extended and incorporated with mixed interpolation of tensorial components for triangular element (MITC3) [1], called ES-MITC3, for transient analysis of laminated composite shells based on the first-order shear deformation theory (FSDT). Numerical results for static analysis of isotropic and transient response of laminated composite shell with various different loadings and boundary conditions are provided. The accuracy and reliability of proposed method are verified by comparing its numerical solutions with those of other available numerical results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lee P-S, Bathe K-J (2004) Development of MITC isotropic triangular shell finite elements. Comput Struct 82:945–962
Khdeir A, Reddy J, Frederick D (1990) On the transient response of cross-ply laminated circular cylindrical shells. Int J Impact Eng 9:475–484
Chun L, Lam K (1995) Dynamic analysis of clamped laminated curved panels. Compos Struct 30:389–398
Türkmen H (1999) Structural response of cylindrically curved laminated composite shells subjected to blast loading. ARI Int J Phys Eng Sci 51:175–180
Şahan MF (2016) Dynamic analysis of linear viscoelastic cross-ply laminated shallow spherical shells. Compos Struct 149:261–270
Liu G-R, Nguyen TT (2010) Smoothed finite element methods, vol 1. CRC Press Boca Raton
Liu G, Dai K, Nguyen T (2007) A smoothed finite element method for mechanics problems. Comput Mech 39:859–877
Liu G, Nguyen-Thoi T, Nguyen-Xuan H, Lam K (2009) A node-based smoothed finite element method (NS-FEM) for upper bound solutions to solid mechanics problems. Comput Struct 87:14–26
Liu GR, Nguyen-Thoi T, Lam KY (2009) An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J Sound Vib 320:1100–1130
Nguyen-Thoi T, Liu GR, Lam KY, Zhang GY (2009) A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. Int J Numer Methods Eng 78:324–353
Nguyen-Xuan H (2017) A polygonal finite element method for plate analysis. Comput Struct 188:45–62
Nguyen TN, Thai CH, Nguyen-Xuan H (2016) On the general framework of high order shear deformation theories for laminated composite plate structures: a novel unified approach. Int J Mech Sci 110:242–255
Nguyen HX, Nguyen TN, Abdel-Wahab M, Bordas S, Nguyen-Xuan H, Vo TP (2017) A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory. Comput Methods Appl Mech Eng 313:904–940
Nguyen N-T, Hui D, Lee J, Nguyen-Xuan H (2015) An efficient computational approach for size-dependent analysis of functionally graded nanoplates. Comput Meth Appl Mech Eng 297:191–218
Thai CH, Kulasegaram S, Tran LV, Nguyen-Xuan H (2014) Generalized shear deformation theory for functionally graded isotropic and sandwich plates based on isogeometric approach. Comput Struct 141:94–112
Chau-Dinh T, Nguyen-Duy Q, Nguyen-Xuan H (2017) Improvement on MITC3 plate finite element using edge-based strain smoothing enhancement for plate analysis. Acta Mech 1–23
Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press
Cui X, Liu G-R, Li G-Y, Zhang G, Zheng G (2010) Analysis of plates and shells using an edge-based smoothed finite element method. Comput Mech 45:141–156
Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech Div 85:67–94
Zienkiewicz O, Taylor R, Too J (1971) Reduced integration technique in general analysis of plates and shells. Int J Numer Methods Eng 3:275–290
Tessler A, Hughes TJ (1985) A three-node Mindlin plate element with improved transverse shear. Comput Methods Appl Mech Eng 50:71–101
Bathe KJ, Dvorkin EN (1985) A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Int J Numer Methods Eng 21:367–383
Zienkiewicz OC, Xu Z, Zeng LF, Samuelsson A, Wiberg NE (1993) Linked interpolation for Reissner-Mindlin plate elements: Part I—A simple quadrilateral. Int J Numer Meth Eng 36:3043–3056
Bletzinger K-U, Bischoff M, Ramm E (2000) A unified approach for shear-locking-free triangular and rectangular shell finite elements. Comput Struct 75:321–334
Nguyen-Xuan H, Rabczuk T, Bordas S, Debongnie J-F (2008) A smoothed finite element method for plate analysis. Comput Methods Appl Mech Eng 197:1184–1203
Nguyen-Thanh N, Rabczuk T, Nguyen-Xuan H, Bordas SP (2008) A smoothed finite element method for shell analysis. Comput Methods Appl Mech Eng 198:165–177
Nguyen-Thoi T, Phung-Van P, Thai-Hoang C, Nguyen-Xuan H (2013) A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements for static and free vibration analyses of shell structures. Int J Mech Sci 74:32–45
Fluge W (1960) Stress in shells. Springer
Khdeir A, Reddy J (1989) Exact solutions for the transient response of symmetric cross-ply laminates using a higher-order plate theory. Compos Sci Technol 34:205–224
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Pham-Tien, D., Pham-Quoc, H., Tran-The, V., Vu-Khac, T., Nguyen-Van, N. (2018). Transient Analysis of Laminated Composite Shells Using an Edge-Based Smoothed Finite Element Method. In: Nguyen-Xuan, H., Phung-Van, P., Rabczuk, T. (eds) Proceedings of the International Conference on Advances in Computational Mechanics 2017. ACOME 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7149-2_75
Download citation
DOI: https://doi.org/10.1007/978-981-10-7149-2_75
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7148-5
Online ISBN: 978-981-10-7149-2
eBook Packages: EngineeringEngineering (R0)