A highly efficient membrane finite element with drilling degrees of freedom

Kugler, Stephan; Fotiu, Peter A.; Muŕın, Just́ın

doi:10.1007/s00707-009-0279-8

Cited by 29 publications

(20 citation statements)

References 23 publications

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“…The load is defined either through two nodal forces or through nodal drilling couples, denoted by P and M, respectively. The results, reported are compared in Table 10, with those obtained using HQ4-9β, the element based on Hughes-Brezzi formulation [39] and the recent proposal in [44]. The reference solution has been evaluated using beam model.…”

Section: Recovery Of the Rotational Field: Simply Supported Beammentioning

confidence: 97%

See 1 more Smart Citation

A mixed isostatic 16 dof quadrilateral membrane element with drilling rotations, based on Airy stresses

Madeo¹,

Casciaro²,

Zagari³

et al. 2014

Finite Elements in Analysis and Design

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Section: Recovery Of the Rotational Field: Simply Supported Beammentioning

confidence: 97%

“…Element Load Case ϕ ð1Þ z ϕ ð2Þ z α ¼0 Forces HQ8-13β 0.6 0.6 HQ4-9β [2] 0.6 0.6 Ibrahimbegovic [39] 0.6 -Kugler [44] 0.6 0.5404 Couples HQ8-13β 0.73045 0.6 HQ4-9β [2] 0.729 0.6 Ibrahimbegovic [39] 0.6 -Kugler [44] 0.6 0.5404…”

Section: Distorsionmentioning

confidence: 99%

A mixed isostatic 16 dof quadrilateral membrane element with drilling rotations, based on Airy stresses

Madeo¹,

Casciaro²,

Zagari³

et al. 2014

Finite Elements in Analysis and Design

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“…the rotation about the shell's normal, is a main issue of this paper. These in-plane rotational degrees of freedom are introduced using a recently proposed Cosserat-type functional [13,12],…”

Section: The Membrane Partmentioning

confidence: 99%

“…There, any torsional moment within the beam directly activates drill rotations if the beam axis is perpendicular to the shell's membrane. In that field many achievements are due to Kugler et al [12,13], where references to earlier procedures [14] can be found. A generalization of those procedures to FGMs and MLCs are given in [15,16] where elasticity is described using effective elastic properties derived in [15].…”

Section: Introductionmentioning

confidence: 99%

Thermo-Elasticity in Shell Structures Made of Functionally Graded Materials

Kugler¹,

Fotiu²,

Muŕın³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. An efficient low order finite shell element is derived for the thermo-elastic analysis of shell structures made of functionally graded materials or multilayer composites. It is based on a one-way coupling between the thermal and the mechanical analysis. The thermal quantities are evaluated using a new iterative scheme that properly accounts for convection boundary conditions and large gradients of the thermal conductivity. The resulting non-constant temperature field with respect to the thickness direction gives nodal forces and couples, which are applied on a shear weak six parameter shell formulation. Here, drill rotations are included, supplemented with a proper method for calculating effective elastic properties. Numerical results indicate efficiency and accuracy of the proposed approach.4838

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“…Madeo et al (2012) proposed a quadrilateral four node membrane finite element corresponding to a mixed Hellinger-Reissner variational formulation. Kugler et al (2010) developed a quadrilateral membrane finite element with drilling degrees of freedom. This formulation could allocate a superior recovery of the rotation filed.…”

Section: Introductionmentioning

confidence: 99%

Co-rotational formulation for dynamic analysis of space membranes based on triangular elements

Faroughi

Eriksson

2015

Int J Mech Mater Des

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Nonlinear triangular space membrane elements are developed for the analysis of thin structures subjected to dynamic loading. By using a co-rotated framework, displacements are decomposed into rigid body motions and pure deformational displacements. The novelty of the formulation is that it employs the co-rotated framework to derive tangent dynamic matrix and an inertial force vector. Closed forms for the inertia force vector, the tangent dynamic matrix, the mass matrix and the gyroscopic matrix are derived directly from the current coordinate transformation matrix. Three numerical examples are presented to illustrate the robustness and efficiency of the new corotational formulation. The efficiency of the proposed approach is compared to the updated Lagrangian method, and savings in computation of up to 50 %, were achieved.

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A highly efficient membrane finite element with drilling degrees of freedom

Cited by 29 publications

References 23 publications

A mixed isostatic 16 dof quadrilateral membrane element with drilling rotations, based on Airy stresses

A mixed isostatic 16 dof quadrilateral membrane element with drilling rotations, based on Airy stresses

Thermo-Elasticity in Shell Structures Made of Functionally Graded Materials

Co-rotational formulation for dynamic analysis of space membranes based on triangular elements

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