Large deformation analysis of functionally graded shells

Arciniega, R.A.; Reddy, J. N.

doi:10.1016/j.ijsolstr.2006.08.035

Cited by 189 publications

(85 citation statements)

References 26 publications

(26 reference statements)

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“…It is also noticed that the response of the cylinder shell has two different regions: the first is dominated by bending stiffness with large displacements; the second, at load level of F = 5x10 6 , is characterized by a very stiff response of the shell. These results obtained by the present model are well correlated with findings of Arciniega and Reddy (2007a) and Sze et al (2004). -U C…”

Section: Case Of Pulled Cylindersupporting

confidence: 90%

“…15-17. Results are in good agreement with those of Arciniega and Reddy (2007a). The deformed configurations for a FGM shells under the maximum load is depicted in Fig.…”

Section: Case Of Pulled Cylindersupporting

confidence: 84%

“…5b one can notice complex equilibrium curves with snap-through and snap back behavior. This is a particular problem known as snapping behavior (Arciniega and Reddy 2007a;Payette and Reddy 2014). One can deduce that the complexity of the equilibrium paths of the panel increases as the shell thickness h is reduced.…”

Section: Hinged Cylindrical Roof Subjected To a Concentrated Loadmentioning

confidence: 99%

“…Using symmetry, only one eighth needs to be modeled with 20x40, S4 elements. This test is non-trivial which was considered in Arciniega and Reddy (2007a), Sze et al (2004Sze et al ( , 2002aSze et al ( , 2002b, Brank et al (1995), Sansour et al (2000), Gruttmann et al (1989);Peng and Crisfield (1992) and Park et al (1995). The initial and meshing configuration are shown in Fig. 14.…”

Section: Case Of Pulled Cylindermentioning

confidence: 99%

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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: Case Of Pulled Cylindersupporting

confidence: 90%

“…15-17. Results are in good agreement with those of Arciniega and Reddy (2007a). The deformed configurations for a FGM shells under the maximum load is depicted in Fig.…”

Section: Case Of Pulled Cylindersupporting

confidence: 84%

Section: Hinged Cylindrical Roof Subjected To a Concentrated Loadmentioning

confidence: 99%

Section: Case Of Pulled Cylindermentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…In the last years, some researchers have analyzed various characteristics of functionally graded structures (Ng et al, 2000;Yang et al, 2003;Della Croce and Venini, 2004;Liew et al, 2004;Wu and Tsai, 2004;Patel et al, 2005;Abrate, 2006;Pelletier and Vel, 2006;Zenkour, 2006;Arciniega and Reddy, 2007;Nie and Zhong, 2007;Roque et al, 2007;Yang and Shen, 2007).…”

Section: Introductionmentioning

confidence: 99%

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Tornabene

Viola

2009

European Journal of Mechanics - A/Solids

181

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Abstract.Basing on the First-order Shear Deformation Theory (FSDT), this paper focuses on the dynamic behaviour of moderately thick functionally graded parabolic panels and shells of revolution. A generalization of the power-law distribution presented in literature is proposed. Two different four parameter power-law distributions are considered for the ceramic volume fraction. Some symmetric and asymmetric material profiles through the functionally graded shell thickness are illustrated by varying the four parameters of power-law distributions. The governing equations of motion are expressed as functions of five kinematic parameters. For the discretization of the system equations the Generalized Differential Quadrature (GDQ) method has been used. Numerical results concerning four types of parabolic shell structures illustrate the influence of the parameters of the power-law distribution on the mechanical behaviour of shell structures considered.

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Finite Element Analysis of Composite Plates and Shells

Reddy

Arciniega

Moleiro

2010

Encyclopedia of Aerospace Engineering

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In this chapter, an overview of recent developments on finite element analysis of composite plates and shells are presented. Two major developments in the last decade by the author and his colleagues have been in the formulation of (1) least–squares finite element models of plates and (2) the weak‐form Galerkin finite element formulations of first‐order and third‐order shell theories. The least–squares formulations are based on the first‐order shear deformation theory, while the weak‐form Galerkin is based on the first‐order as well as the third‐order shear deformation theories. Results using the weak‐form Galerkin finite element model based on improved 7‐parameter first‐order theory are also included for geometrically nonlinear cases. The least–squares finite element models of plates are based on mixed formulations in which displacements as well as stress resultants are treated as the unknown field variables. The weak‐form Galerkin finite element models are displacement‐based. In the latter, a family of high‐order Lagrange interpolation functions (with equally spaced nodes and Gauss–Lobatto–Legendre nodes) is used to prevent shear locking. Numerical results are presented for a number of benchmark problems involving isotropic, laminated composite, as well as functionally graded plates and shells.

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Large deformation analysis of functionally graded shells

Cited by 189 publications

References 26 publications

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

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

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Finite Element Analysis of Composite Plates and Shells

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