A seven-parameter spectral/hp finite element formulation for isotropic, laminated composite and functionally graded shell structures

Payette, Gregory S.; Reddy, J. N.

doi:10.1016/j.cma.2014.06.021

Cited by 76 publications

(50 citation statements)

References 58 publications

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“…It is plausible that the applied load to ceramic panel is higher than that of metal due to the high stiffness of ceramic. Results shown in Fig 6 are visually in good agreement with the solutions presented by Arciniega and Reddy (2007b) as well as deflection curves in Frikha and Dammak (2017), Payette and Reddy (2014).…”

Section: Hinged Cylindrical Roof Subjected To a Concentrated Loadsupporting

confidence: 75%

“…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%

See 1 more Smart Citation

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: Hinged Cylindrical Roof Subjected To a Concentrated Loadsupporting

confidence: 75%

Section: Hinged Cylindrical Roof Subjected To a Concentrated Loadmentioning

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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“…For comparison purposes, two configurations of laminated composites, which correspond to two different stacking sequences (0º/90º/0º and 90º/0º/90º), are considered. The load-deflection curves obtained with the SHB elements are compared in Figure 8 with those given by the ABAQUS elements as well as with the reference solutions taken from [17]. Note that the laminated composites are modeled with three layers in the case of prismatic and hexahedral elements due to the different stacking sequences through the thickness.…”

Section: Clamped Composite Platementioning

confidence: 99%

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

2016

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Abstract.A family of prismatic and hexahedral solid-shell (SHB) elements with their linear and quadratic versions is presented in this paper to model thin 3D structures. Based on reduced integration and special treatments to eliminate locking effects and to control spurious zero-energy modes, the SHB solid-shell elements are capable of modeling most thin 3D structural problems with only a single element layer, while describing accurately the various throughthickness phenomena. In this paper, the SHB elements are combined with fully 3D behavior models, including orthotropic elastic behavior for composite materials and anisotropic plastic behavior for metallic materials, which allows describing the strain/stress state in the thickness direction, in contrast to traditional shell elements. All SHB elements are implemented into ABAQUS using both standard/quasi-static and explicit/dynamic solvers. Several benchmark tests have been conducted, in order to first assess the performance of the SHB elements in quasi-static and dynamic analyses. Then, deep drawing of a hemispherical cup is performed to demonstrate the capabilities of the SHB elements in handling various types of nonlinearities (large displacements and rotations, anisotropic plasticity, and contact). Compared to classical ABAQUS solid and shell elements, the results given by the SHB elements show good agreement with the reference solutions.

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“…One can see, for example, some works that show the evolution in this field [18,19,20,21,22,23]. Despite the fact that, in its majority, the mentioned formulations follows rotation based and updated Lagragian descriptions, the work [18] shows an excellent summary about this subject and a detailed review can be seen in [24,25]. Following [18,26] formulations for which the displacement field is continuously differentiable along the transverse direction are unable to accurately calculate transverse stress components for laminated plates and shells.…”

mentioning

confidence: 97%

Continuous inter-laminar stresses for regular and inverse geometrically non linear dynamic and static analyses of laminated plates and shells

Coda

2015

Composite Structures

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A seven-parameter spectral/hp finite element formulation for isotropic, laminated composite and functionally graded shell structures

Cited by 76 publications

References 58 publications

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

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

Simulation of nonlinear benchmarks and sheet metal forming processes using linear and quadratic solid–shell elements combined with advanced anisotropic behavior models

Continuous inter-laminar stresses for regular and inverse geometrically non linear dynamic and static analyses of laminated plates and shells

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