Geometrically nonlinear analysis of thin shell by a quadrilateral finite element with in-plane rotational degrees of freedom

Boutagouga, Djamel; Gouasmia, Abdelhacine; Djeghaba, Kamel

doi:10.3166/ejcm.19.707-724

Cited by 11 publications

(2 citation statements)

References 15 publications

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“…This shell is shown in Figure 8 (Meek and Ristic, 1997;Boutagouga et al, 2010). Owing to the symmetry, only one-quarter of the structure is analyzed with 200 shell elements.…”

Section: The Shallow Spherical Capmentioning

confidence: 99%

Geometrically nonlinear analysis of shells by various dynamic relaxation methods

Rezaiee‐Pajand

Estiri

2017

WJE

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Purpose Numerical experiences reveal that the performances of the dynamic relaxation (DR) method are related to the structural types. This paper is devoted to compare the DR schemes for geometric nonlinear analysis of shells. To achieve this task, 12 famous approaches are briefly introduced. The differences among these schemes are between the estimation of the time step, the mass and the damping matrices. In this study, several benchmark structures are analyzed by using these 12 techniques. Based on the number of iterations and the analysis duration, their performances are graded. Numerical findings reveal the high efficiency of the kinetic DR (kdDR) approach and Underwood’s strategy. Design/methodology/approach Up to now, the performances of various DR algorithms for geometric nonlinear analysis of thin shells have not been investigated. In this paper, 12 famous DR methods have been used for solving these structures. It should be noted that the difference between these approaches is in the estimation of the fictitious parameters. The aforementioned techniques are used to solve several numerical samples. Then, the performances of all schemes are graded based on the number of iterations and the analysis duration. Findings The final ranking of each strategy will be obtained after studying all numerical examples. It is worth emphasizing that the number of iterations and that of convergence points of the arc length algorithms are dependent on the value of the initial arc length. In other words, a slight change in the magnitude of the arc length may lead to the wrong responses. Contrary to this behavior, the analyzer’s role in the dynamic relaxation techniques is considerably less than the arc length method. In the DR strategies when the answer approaches the limit points, the iteration number increases automatically. As a result, this algorithm can be used to analyze the structures with complex equilibrium paths. Research limitations/implications Numerical experiences reveal that the DR method performances are related to the structural types. This paper is devoted to compare the DR schemes for geometric nonlinear analysis of shells. Practical implications Geometric nonlinear analysis of shells is a sophisticated procedure. Consequently, extensive research studies have been conducted to analyze the shells efficiently. The most important characteristic of these structures is their high resistance against pressure. This study demonstrates the performances of various DR methods in solving shell structures. Originality/value Up to now, the performances of various DR algorithms for geometric nonlinear analysis of thin shells are not investigated.

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“…This shell is shown in Figure 8 (Meek and Ristic, 1997;Boutagouga et al, 2010). Owing to the symmetry, only one-quarter of the structure is analyzed with 200 shell elements.…”

Section: The Shallow Spherical Capmentioning

confidence: 99%

Geometrically nonlinear analysis of shells by various dynamic relaxation methods

Rezaiee‐Pajand

Estiri

2017

WJE

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“…To avoid the problem of singularity in the stiffness matrix and also to improve the accuracy of numerical results, there has been renewed interests in finite element with in-plane rotational degrees of freedom called also drilling rotations [5]. Since the first successful element with drilling variables proposed by Allman [6], a considerable amount of literature has been published on this subject [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs: Elastoplastic analysis of plane structures

Ayadi

Meftah

Sedira

2020

Frattura Ed Integrità Strutturale

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In this work, the small-strain elastoplastic behavior of structures is analyzed using an improved nonlinear finite element formulation. In this framework, an eight-node quadrilateral finite element denoted PFR8 (Plane Fiber Rotation) that belongs to the set of elements with rotational degrees of freedom is developed. Its formulation stems from the plane adaptation of the Space Fiber Rotation (SFR) concept that considers virtual rotations of nodal fiber within the element. This approach results in an enhancement of the displacement vector approximation. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. Newton-Raphson method has been used to solve the nonlinear equations. To assess the performance of the proposed element, benchmark problems are addressed and the results are compared with some analytical and numerical solutions from the literature.

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Dynamic and Post-buckling Analysis of Structures Like-Shell Using a Quadrilateral Shell Element with In-plane Drilling Rotational Degree of Freedom and a Conservative Implicit Time Integration Scheme

Boutagouga

Mamouri

2020

Lecture Notes in Mechanical Engineering

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Geometrically nonlinear analysis of thin shell by a quadrilateral finite element with in-plane rotational degrees of freedom

Cited by 11 publications

References 15 publications

Geometrically nonlinear analysis of shells by various dynamic relaxation methods

Geometrically nonlinear analysis of shells by various dynamic relaxation methods

Elastoplastic analysis of plane structures using improved membrane finite element with rotational DOFs: Elastoplastic analysis of plane structures

Dynamic and Post-buckling Analysis of Structures Like-Shell Using a Quadrilateral Shell Element with In-plane Drilling Rotational Degree of Freedom and a Conservative Implicit Time Integration Scheme

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