An efficient flat shell element

Rezaiee‐Pajand, Mohammad; Yaghoobi, Majid

doi:10.1007/s11012-017-0772-4

Cited by 5 publications

(2 citation statements)

References 46 publications

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“…Cantilever plate. Rezaiee-Pajand and Yaghoobi41 have analyzed the behavior of inflectional finite elements regarding their convergence use for test. As it has used to evaluate their response to the blocking problem linked to transverse shear encountered with certain finite elements based on the Mindlin-Reissner theory.…”

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confidence: 99%

A higher order triangular plate finite element using Airy functions

Himeur

Guenfoud

2020

Advances in Mechanical Engineering

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The present paper describes the formulation of a new moderately thick plate bending triangular finite element based on Mindlin–Reissner plate theory. It is called a Great Triangular Moderately Thick Plate Finite Element, or GTMTPFE. The formulation is based on the strain approach, on solution of Airy’s function and on the analytical integration in the construction of the stiffness matrix. The strengths associated with this approach consist of: • automatic verification of equilibrium conditions and kinematic compatibility conditions, • the enrichment of the degrees of the interpolation polynomials of displacements, strains and constraints (refinement p), • the consideration distortions sections related to Poisson effects, • the treatment of blocking phenomena related to transverse shear. In general, this approach results in a competitive, robust and efficient new moderately thick plate finite element. This is visible, on the one hand, through its stability against patch tests (constant twists, state of constants moments, transverse shear locking phenomenon, isotropy test). This is visible, through its good response to the patch tests to which it is subjected (constant torsions, state of constant moments, phenomenon of blocking in transverse shears, isotropy test). As has excellent convergence to the reference solution. Thus, it exhibits better performance behavior than other existing plate elements in the literature, particularly for moderately thick plates and for thin plates (L/h ratio greater than 4).

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confidence: 99%

A higher order triangular plate finite element using Airy functions

Himeur

Guenfoud

2020

Advances in Mechanical Engineering

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“…As aplicações de otimização topológica mais conhecidas na literatura técnica apontam para o uso de elementos finitos convencionais (ex: triângulos e quadriláteros) na discretização dos domínios bidimensionais [23,24]. No entanto, mais recentemente, diversos trabalhos de otimização topológica propõem o uso de elementos poligonais [25,26].…”

Section: Elementos Quadrilaterais X Elementos Poligonaisunclassified

Aplicação Da Derivada Topológica Na Otimização Estrutural

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Agradeço antes de tudo, a Deus, por todas as oportunidades e pessoas que Ele tem colocado no meu caminho, que permitiram a realização deste curso de Mestrado. Nisso se inclui todo o apoio de minha família, em especial de minha mãe Marcia e minha irmã Natália, que têm estado ao meu lado dando muito suporte, com muita paciência, carinho e amor necessários nesta longa trajetória.Ao meu pai, Ricardo, pelo orgulho que sempre teve de mim.Ao grande e especial amigo Alcides, que tem estado comigo nos momentos mais difíceis.Ao meu coorientador, Rafael Menezes, sempre tão presente em cada fase deste trabalho e que, mais que tudo, se tornou um verdadeiro amigo nessa trajetória.Ao meu orientador, Ivan Menezes, por me propor este desafio e por sempre ter confiado na minha capacidade em realizá-lo.A uma pessoa muito especial, sempre presente, Dra. Míria Amorim. E a todos e tantos amigos que sempre me apoiaram com a sua presença ou nos momentos de descontração na internet, entre eles,

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Shape‐free arbitrary polygonal hybrid stress/displacement‐function flat shell element for linear and geometrically nonlinear analyses

Cen

et al. 2021

Numerical Meth Engineering

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A high-performance shape-free arbitrary polygonal hybrid stress/displacement -function flat shell finite element method is proposed for linear and geometrically nonlinear analyses of shells. First, an arbitrary polygonal Mindlin-Reissner plate element and an arbitrary polygonal membrane element with drilling degrees of freedom are constructed based on hybrid displacement-function and hybrid stress-function methods, respectively. Both elements have only two corner nodes along each edge. Second, by assembling the plate and the membrane elements, an arbitrary polygonal flat shell element is constructed. Third, based on the corotational method, a proper best-fit corotated frame for geometrically nonlinear polygonal elements is designed. By updating the analytical trial functions of shell element in each increment step, the original linear flat shell element is generalized to a geometrically nonlinear model. Numerical examples show that the new element possesses excellent performance for both linear and geometrically nonlinear analyses, and possesses outstanding flexibility in dealing with complex loading distributions and mesh shapes.

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An efficient flat shell element

Cited by 5 publications

References 46 publications

A higher order triangular plate finite element using Airy functions

A higher order triangular plate finite element using Airy functions

Aplicação Da Derivada Topológica Na Otimização Estrutural

Shape‐free arbitrary polygonal hybrid stress/displacement‐function flat shell element for linear and geometrically nonlinear analyses

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