Received:

Revised:

Accepted:

Published online:

DOI: 10.5802/crmeca.7

Revised:

Accepted:

Published online:

DOI: 10.5802/crmeca.7

Keywords:
Static analysis, Buckling, Stiffened plate/shell, Strain smoothing technique, Shear locking, Membrane locking

Author's affiliations:

Hoang Lan Ton-That ^{1, 2};
Hieu Nguyen-Van ^{1};
Thanh Chau-Dinh ^{2}

License: CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

@article{CRMECA_2020__348_4_285_0, author = {Hoang Lan Ton-That and Hieu Nguyen-Van and Thanh Chau-Dinh}, title = {Static and buckling analyses of stiffened plate/shell structures using the quadrilateral element {SQ4C}}, journal = {Comptes Rendus. M\'ecanique}, pages = {285--305}, publisher = {Acad\'emie des sciences, Paris}, volume = {348}, number = {4}, year = {2020}, doi = {10.5802/crmeca.7}, zbl = {07205475}, language = {en}, }

TY - JOUR AU - Hoang Lan Ton-That AU - Hieu Nguyen-Van AU - Thanh Chau-Dinh TI - Static and buckling analyses of stiffened plate/shell structures using the quadrilateral element SQ4C JO - Comptes Rendus. Mécanique PY - 2020 SP - 285 EP - 305 VL - 348 IS - 4 PB - Académie des sciences, Paris DO - 10.5802/crmeca.7 LA - en ID - CRMECA_2020__348_4_285_0 ER -

%0 Journal Article %A Hoang Lan Ton-That %A Hieu Nguyen-Van %A Thanh Chau-Dinh %T Static and buckling analyses of stiffened plate/shell structures using the quadrilateral element SQ4C %J Comptes Rendus. Mécanique %D 2020 %P 285-305 %V 348 %N 4 %I Académie des sciences, Paris %R 10.5802/crmeca.7 %G en %F CRMECA_2020__348_4_285_0

Hoang Lan Ton-That; Hieu Nguyen-Van; Thanh Chau-Dinh. Static and buckling analyses of stiffened plate/shell structures using the quadrilateral element SQ4C. Comptes Rendus. Mécanique, Volume 348 (2020) no. 4, pp. 285-305. doi : 10.5802/crmeca.7. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.7/

[1] Stiffened plates in bending, Comput. Struct., Volume 50 (1994), pp. 541-548 | DOI | Zbl

[2] Experimental and numerical studies on the response of stiffened plates subjected to gas explosions, J. Constr. Steel Res., Volume 52 (1999), pp. 171-193 | DOI

[3] Finite element large deflection static analysis of shallow and deep stiffened shells, Finite Elem. Anal. Des., Volume 33 (1999), pp. 187-208 | DOI | Zbl

[4] Analysis of multiple stiffened barrel shell structures by strain-based finite elements, Thin-Walled Struct., Volume 35 (1999), pp. 233-253 | DOI

[5] Influence of geometric imperfections on the load capacity of orthotropic stiffened and composite shells of revolution with arbitrary meridians and boundary conditions, Thin-Walled Struct., Volume 23 (1995), pp. 237-254 | DOI

[6]

(“Nonlinear rigid-plastic analysis of stiffened plates under blast loads”, PhD thesis, University of British Columbia, 1991)[7] Analytical formulation for local buckling and post-buckling analysis of stiffened laminated panels, Thin-Walled Struct., Volume 47 (2009), pp. 318-334 | DOI

[8] An accurate Ritz approach for analysis of cracked stiffened plates, Appl. Math. Modelling, Volume 73 (2019), pp. 598-614 | DOI | MR | Zbl

[9] Buckling and post-buckling analysis of cracked stiffened panels via an X-Ritz method, Aerosp. Sci. Technol., Volume 86 (2019), pp. 268-282 | DOI

[10] A Rayleigh–Ritz approach for postbuckling analysis of variable angle tow composite stiffened panels, Comput. Struct., Volume 196 (2018), pp. 263-276 | DOI

[11] Aeroelastic behavior of stiffened composite laminated panel with embedded SMA wire using the hierarchical Rayleigh–Ritz method, Compos. Struct., Volume 181 (2017), pp. 26-45 | DOI

[12] Buckling and free vibration analyses of stiffened plates using the FSDT mesh-free method, J. Sound Vib., Volume 289 (2006), pp. 421-449 | DOI | Zbl

[13] Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method, Int. J. Mech. Sci., Volume 49 (2007), pp. 364-378 | DOI | Zbl

[14] 4 - Mesh-free methods for buckling analysis of stiffened and corrugated plates, Analysis and Design of Plated Structures (N. E. Shanmugam; C. M. Wang, eds.), Volume 2, Woodhead Publishing, 2006, pp. 80-116 | DOI

[15] Constraint method analysis of stiffened plates, Comput. Struct., Volume 8 (1978), pp. 51-60 | DOI | Zbl

[16] Constraint method for laminated composite flat stiffened panel analysis using variational asymptotic method (VAM), Thin-Walled Struct., Volume 145 (2019), 106374 | DOI

[17] Band gap characteristics of periodically stiffened-thin-plate based on center-finite-difference-method, Thin-Walled Struct., Volume 82 (2014), pp. 115-123 | DOI

[18] Vibration and stability analysis of stiffened plates by semi-analytic finite difference method. Part I: Consideration of bending displacements only, J. Sound Vib., Volume 130 (1989), pp. 27-39 | DOI | Zbl

[19] Free vibration analysis of stiffened laminated plate using FEM, Materials Today: Proceedings, Volume 5 (2018), pp. 5313-5321

[20] Harmonic analysis of stiffened functionally graded plate using FEM, Materials Today: Proceedings, Volume 5 (2018), pp. 5145-5153

[21] Stiffened plate bending analysis in terms of refined triangular laminated plate element, Compos. Struct., Volume 92 (2010), pp. 2936-2945 | DOI

[22] Static, free vibration and buck- ling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements, Comput. Struct., Volume 125 (2013), pp. 100-113 | DOI

[23] Eigen-frequency analysis of stiffened laminated composite plates using finite elements, Mater. Today: Proceedings, Volume 5 (2018), pp. 20152-20159

[24] Formulation and evaluation of a finite element model for the linear analysis of stiffened composite cylindrical panels, Finite Elem. Anal. Des., Volume 21 (1996), pp. 265-289 | DOI | Zbl

[25] Progressive failure analysis for advanced grid stiffened composite plates/shells, Compos. Struct., Volume 86 (2008), pp. 45-54 | DOI

[26] Free vibration of stiffened laminated shells of revolution with a free-form meridian and general boundary conditions, Int. J. Mech. Sci., Volume 157–158 (2019), pp. 561-573 | DOI

[27] The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells, Appl. Math. Modelling, Volume 56 (2018), pp. 389-403 | DOI | MR | Zbl

[28] **42** (1992)

[29] Analysis of stiffened shell for ships and ocean structures by finite element method, Ocean Eng., Volume 28 (2001), pp. 621-638 | DOI

[30] The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory, Finite Elem. Anal. Des., Volume 100 (2015), pp. 12-27 | DOI | MR

[31] A mixed edge-based smoothed solid-shell finite element method (MES-FEM) for laminated shell structures, Compos. Struct., Volume 208 (2019), pp. 168-179 | DOI

[32] Three-dimensional thermo-mechanical solutions of cross-ply laminated plates and shells by a differential quadrature hierarchical finite element method, Compos. Struct., Volume 208 (2019), pp. 711-724 | DOI

[33] Geometrically nonlinear analysis of composite plates and shells via a quadrilateral element with good coarse-mesh accuracy, Compos. Struct., Volume 112 (2014), pp. 327-338 | DOI

[34] On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory, Compos. Part B: Eng., Volume 92 (2016), pp. 218-241 | DOI

[35] Enhancement to four-node quadrilateral plate elements by using cell-based smoothed strains and higher-order shear deformation theory for nonlinear analysis of composite structures, J. Sandwich Struct. Mater., Volume 22 (2018) no. 7, pp. 2302-2329 | DOI

[36] An improved four-node element for analysis of composite plate/shell structures based on twice interpolation strategy, Int. J. Comput. Methods, Volume 17 (2020) no. 6, 1950020 | MR | Zbl

[37] Nonlinear Static Bending Analysis of Functionally Graded Plates Using MISQ24 Elements with Drilling Rotations, Proceedings of the International Conference on Advances in Computational Mechanics 2017 (2018), pp. 461-475 | DOI

[38] Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling, Comput. Methods Appl. Mech. Eng., Volume 316 (2017), pp. 1157-1178 | DOI | MR | Zbl

[39] Variable-node element families for mesh connection and adaptive mesh computation, Struct. Eng. Mech., Volume 43 (2012), pp. 349-370 | DOI

[40] Nonlinear bending analysis of functionally graded plates using SQ4T elements based on twice interpolation strategy, J. Appl. Comput. Mech., Volume 6 (2019) no. 1, pp. 125-136

[41] A formulation of general shell elements—the use of mixed interpolation of tensorial components, Int. J. Numer. Methods Eng., Volume 22 (1986), pp. 697-722 | DOI | Zbl

[42] A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation, Int. J. Numer. Methods Eng., Volume 21 (1985), pp. 367-383 | DOI | Zbl

[43] A quadrilateral 2-D finite element based on mixed interpolation of tensorial components, Eng. Comput., Volume 6 (1989), pp. 217-224 | DOI

[44] The MITC4+ shell element and its performance, Comput. Struct., Volume 169 (2016), pp. 57-68 | DOI

[45] The MITC4+ shell element in geometric nonlinear analysis, Comput. Struct., Volume 185 (2017), pp. 1-14 | DOI

[46] A new MITC4+ shell element, Comput. Struct., Volume 182 (2017), pp. 404-418 | DOI

[47] Mechanical buckling of a functionally graded cylindrical shell with axial and circumferential stiffeners using the third-order shear deformation theory, C. R. Méc., Volume 342 (2014), pp. 501-512 | DOI

[48] High performance variable-node element libraries for structural engineering applications, Computational Mechanics–New Frontiers for the New Millennium (S. Valliappan; N. Khalili, eds.), Elsevier, Oxford, 2001, pp. 187-194 | DOI

[49] Finite element analysis of functionally graded skew plates in thermal environment based on the new third-order shear deformation theory, J. Appl. Comput. Mech., Volume 6 (2019) no. 4, pp. 1044-1057

[50] A robust quadrilateral membrane finite element with drilling degrees of freedom, Int. J. Numer. Methods Eng., Volume 30 (1990), pp. 445-457 | DOI | Zbl

[51] Theory of Elastic Stability, McGraw-Hill Book Company, Inc., Toronto, 1961 (New York)

[52] Buckling analysis of stiffened plates with straight and curvilinear stiffener(s) (Virginia Tech2013)

[53] Buckling of Bars, Plates and Shells, McGraw-Hill, New York, 1975 | Zbl

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