Curved quadratic triangular degenerated‐ and solid‐shell elements for geometric non‐linear analysis

Kim, C. H.; Sze, K. Y.; Kim, Y. H.

doi:10.1002/nme.756

Cited by 17 publications

(13 citation statements)

References 43 publications

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“…The problem has been considered in Refs. (Kim et al 2008;Sze et al 2004Sze et al , 2002aSze et al , 2002bBuechter and Ramm 1992;Sansour and Kollmann 2000;Park et al 1995;Saleeb et al 1990;Simo et al 1990aSimo et al , 1990bLee et al 1984;Basar et al 1992;Sansour and Bufler 1992;Betsch and Stein 1995;Hauptmann and Schweizerhof 1998;Providas and Kattis 1999;Hong et al 2001 andKim et al 2003), among others. In one hand, we consider the case of isotropic material.…”

Section: Hemispherical Fgm Shell With 18° Holementioning

confidence: 99%

Numerical Analysis of Geometrically Non-Linear Behavior of Functionally Graded Shells

Mars

Koubaa

Wali

et al. 2017

Lat. Am. j. solids struct.

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In this paper, a geometrically nonlinear analysis of functionally graded material (FGM) shells is investigated using Abaqus software. A user defined subroutine (UMAT) is developed and implemented in Abaqus/Standard to study the FG shells in large displacements and rotations. The material properties are introduced according to the integration points in Abaqus via the UMAT subroutine. The predictions of static response of several non-trivial structure problems are compared to some reference solutions in order to verify the accuracy and the effectiveness of the new developed nonlinear solution procedures. All the results indicate very good performance in comparison with references. Lee et al. 2009). Typically, FG shell structures were presented using: (i) Kirchhoff-Love theory, Chi and Chung (2006), where the shear strains are assumed zero, which is not acceptable for FG shell; (ii) the First-order Shear Deformation Theory (FSDT) (Praveen and Reddy 1998;Thai and Kim 2015), which gives a correct overall assessment. Notice that the shear correction factors should be incorporated to adjust the transverse shear stiffness; (iii) the High-order Shear Deformation Theory (HSDT) (Neves et al. 2012;Wali et al. 2014Wali et al. , 2015Frikha et al. 2016) in which the equations of motion are more complicated to obtain than those of the FSDT; among other theories. KeywordsIt is certainly plausible that linear finite element (FE) models cannot be able to accurately predict the structural response presenting large elastic deformations and finite rotations. Indeed, according to Yu et al. (2015), several practical problems of FG structures require a geometrically non-linear formulation, such as the post-buckling behavior of structures used in aeronautical, aerospace as well as in mechanical and civil engineering. In such cases, it becomes crucial to develop efficient and accurate nonlinear FE models.It is well known that analytical solutions of shell problems are very limited. Hence, most of reference solutions are previously reported numerical solutions. Particularly, for FE geometric nonlinear analysis of FG shells, several research papers are surveyed (Praveen and Reddy 1998;Reddy 2000;Kattimani and Ray 2015;Duc et al. 2017; Reddy 2007a, 2007b;Alinia and Ghannadpour 2009;Phung-Van et al. 2014;Kim et al. 2008;Hajlaoui et al. 2017;Frikha and Dammak 2017;Asemi et al. 2014 andAnsari et al. 2016). In these references, a number of theoretical formulation and finite element models based on von Karman, Kirchhoff-Love, FSDT and HSDT theories were proposed to study the geometrically non-linear behavior of FGMs Structures.Hosseini Kordkheili and Naghdabadi (2007) derived a FE formulation for the geometrically nonlinear thermoelastic analysis of FGM plates and shells using the updated Lagrangian approach. Later, Zhao and Liew (2009) conducted a geometrically non-linear analysis of FGM shells under mechanical and thermal loading using the element-free kp-Ritz method. The formulation was based on the modified version of Sander's non-li...

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Section: Hemispherical Fgm Shell With 18° Holementioning

confidence: 99%

Numerical Analysis of Geometrically Non-Linear Behavior of Functionally Graded Shells

Mars

Koubaa

Wali

et al. 2017

Lat. Am. j. solids struct.

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“…The slit annular plate is shown in Figure 4a. The problem has been considered in references [23,25,27,33,36,39,40,44,46,48,49], among others. The line force P is applied at one end of the slit while the other end of the slit is fully clamped.…”

Section: Slit Annular Plate Subjected To Lifting Line Forcementioning

confidence: 99%

Popular benchmark problems for geometric nonlinear analysis of shells

SZE

2004

Finite Elements in Analysis and Design

206

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In most, if not all, of the previous work on finite element formulation and nonlinear solution procedures, results of geometric nonlinear benchmark problems of shells are presented in the form of load-deflection curves. In this paper, eight sets of popularly employed benchmark problems are identified and their detailed reference solutions are obtained and tabulated. It is hoped that these solutions will form a convenient basis for subsequent comparison and that the tedious yet inaccurate task of reconstructing data points by graphical measurement of previously reported load-deflection curves can be avoided. Moreover, the relative convergent difficulty of the problems are revealed by the number of load increments and the total number of iterations required by an automatic load incrementation scheme for attaining the converged solutions under the maximum loads.

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“…The plate bending problem is shown in Figure . The square plate with dimensions of 2 L × 2 L and thickness t is subjected to uniform pressure q = 1.0.…”

Section: Classical Benchmark Testsmentioning

confidence: 99%

“…In addition to conventional shell theories, solid-shell elements can represent extended physics with the inclusion of stretch in the thickness direction. Solid-shell elements have only translational degrees of freedom (DOFs), leading to the following advantages: the elements can easily simulate the thickness change of shell structures, merge well with solid finite elements, and avoid complex rotation updates in geometric nonlinear analyses [1][2][3][4][5][6][7][8][9][10][11][12][13]. The general threedimensional (3D) material law can be directly employed, which is beneficial in material nonlinear analyses [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

A 6‐node triangular solid‐shell element for linear and nonlinear analysis

Lee

2017

Numerical Meth Engineering

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Summary In this paper, we present an effective 6‐node triangular solid‐shell element (MITC‐S6), with particular attention on shear locking and thickness locking. To alleviate shear locking, the assumed transverse strain field of the MITC3+ shell element is used while modifying the bending enhancement mechanism. Thickness locking is treated using the assumed and enhanced strain methods for thickness strain. Two independent enhancements of strains are applied: The in‐plane and transverse shear strain fields are enhanced using the strain fields obtained from a bubble interpolation function for in‐plane translations, and the thickness strain field is enhanced for linear variation in the thickness direction. The general three‐dimensional material law is employed. The proposed element passes all the basic tests including zero‐energy mode, patch, and isotropy tests. Excellent performance is observed in various linear and nonlinear benchmark tests, wherein its performance is compared with that of existing 6‐node triangular and 8‐node quadrilateral solid‐shell elements. Copyright © 2016 John Wiley & Sons, Ltd.

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Curved quadratic triangular degenerated‐ and solid‐shell elements for geometric non‐linear analysis

Cited by 17 publications

References 43 publications

Numerical Analysis of Geometrically Non-Linear Behavior of Functionally Graded Shells

Numerical Analysis of Geometrically Non-Linear Behavior of Functionally Graded Shells

Popular benchmark problems for geometric nonlinear analysis of shells

A 6‐node triangular solid‐shell element for linear and nonlinear analysis

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