Abstract
This work develops a meshfree method for the analysis of 3D-shell structure based on the modified first order shear deformation theory. The present meshfree method is based on the radial point interpolation method (RPIM) for the construction of the shape functions with Delta function property using arbitrarily distributed nodes in the support domains. The first order shear deformation theory is improved in this work in order to correct the constant shear strains with the Mindlin-Reissner theory and to get closer to its realistic distribution through the thickness with parabolic curves. The accuracy and convergence of the proposed model is compared to results presented in the literature.
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References
Costa JC, Tiago C, Pimenta PM (2013) Meshless analysis of shear deformable shells: the linear model. Comput Mech 52(4):763–778
Ferreira AJM, Batra RC, Roque CMC, Qian LF, Martins PALS (2005) Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 69(4):449–457
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
Jrad H, Mallek H, Wali M, Dammak F (2018) Finite element formulation for active functionally graded thin-walled structures. CR Mec 346(12):1159–1178
Jrad H, Mars J, Wali M, Dammak F (2018) An extended finite element method for modeling elastoplastic FGM plate-shell type structures. Struct Eng Mech 68:299–312
Jrad H, Mars J, Wali M, Dammak F (2019) Geometrically nonlinear analysis of elastoplastic behavior of functionally graded shells. Eng Comput 35:833–847
Krysl P, Belytschko T (1996) Analysis of thin shells by the element-free Galerkin method. Int J Solids Struct 33(20–22):3057–3080
Li W, Nguyen-Thanh N, Zhou K (2018) Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach. Comput Methods Appl Mech Eng 336:111–134
Liu WK, Jun S, Zhang YF (1995) Reproducing kernel particle methods. Int J Numer Methods Eng 20(6):1081–1106
Liu GR, Gu YT (2005) An introduction to meshfree methods and their programming. Springer Science and Business Media
Mallek H, Jrad H, Algahtani A, Wali M, Dammak F (2019) Geometrically non-linear analysis of FG-CNTRC shell structures with surface-bonded piezoelectric layers. Comput Methods Appl Mech Eng 347:679–699
Mallek H, Jrad H, Wali M, Dammak F (2019) Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory. J Intell Mater Syst Struct 30(4):517–535
Mallek H, Jrad H, Wali M, Dammak F (2019) Piezoelastic response of smart functionally graded structure with integrated piezoelectric layers using discrete double directors shell element. Compos Struct 210:354–366
Mellouli H, Jrad H, Wali M, Dammak F (2019) Meshfree implementation of the double director shell model for FGM shell structures analysis. Eng Anal Bound Elements 99:111–121
Mellouli H, Jrad H, Wali M, Dammak F (2019) Meshless implementation of arbitrary 3D-shell structures based on a modified first order shear deformation theory. Comput Math Appl 77:34–49
Mellouli H, Jrad H, Wali M, Dammak F (2019) Geometrically nonlinear meshfree analysis of 3D-shell structures based on the double directors shell theory with finite rotations. Steel Compo Struct 31(4):397–408
Monaghan JJ (1988) An introduction to SPH. Comput Phys Commun 48(1):89–96
Trabelsi S, Frikha A, Zghal S, Dammak F (2018) Thermal post-buckling analysis of functionally graded material structures using a modified FSDT. Int J Mech Sci 144:74–89
Trabelsi S, Frikha A, Zghal S, Dammak F (2019) A modified FSDT-based four nodes finite shell element for thermal buckling analysis of functionally graded plates and cylindrical shells. Eng Struct 178:444–459
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
Wang JG, Liu GR (2002) A point interpolation meshless method based on radial basis functions. Int J Numer Methods Eng 54(11):1623–1648
Zghal S, Frikha A, Dammak F (2017) Static analysis of functionally graded carbon nanotube-reinforced plate and shell structures. Compos Struct 176:1107–1123
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Mellouli, H., Mallek, H., Jrad, H., Wali, M., Dammak, F. (2020). Meshfree Modeling of 3D-Shell Structures Using the Modified First Order Shear Deformation Theory. In: Aifaoui, N., et al. Design and Modeling of Mechanical Systems - IV. CMSM 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-27146-6_83
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DOI: https://doi.org/10.1007/978-3-030-27146-6_83
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