Consistent thick shell element

Koziey, B. L.; Mirza, F. A.

doi:10.1016/s0045-7949(96)00414-2

Cited by 68 publications

(37 citation statements)

References 19 publications

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“…Two cases are studied for this problem: regularly distributed nodes and irregularly distributed nodes. Figure 5 shows the comparisons of the present results obtained from using a regular nodal distribution with solutions produced from FEM using 4-node and 9-node elements with reduced integration and other elements [4,25]. It is seen that the RPIM shows a very good convergence performance.…”

Section: Scordelis-lo Roofmentioning

confidence: 88%

“…The displacement obtained from the RPIM is normalized with the analytical solution 1.8248 × 10 −5 in [5]. The RPIM solution obtained from a regular nodal distribution, together with FEM results obtained using 4-node, 9-node and Heterosis elements with selective reduced integration, RSDS element [4], and element given by Koziey and Mirza [25], is plotted in Fig. 8.…”

Section: Pinched Cylindermentioning

confidence: 99%

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A linearly conforming radial point interpolation method (LC-RPIM) for shells

et al. 2008

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In this paper, a linearly conforming radial point interpolation method (LC-RPIM) is presented for the linear analysis of shells. The first order shear deformation shell theory is adopted, and the radial and polynomial basis functions are employed to construct the shape functions. A strain smoothing stabilization technique for nodal integration is used to restore the conformability and to improve the accuracy. Convergence studies are performed in terms of the number of nodes and the nodal distribution patterns, including the regular distribution and the irregular distribution. Comparisons are made with the existing results available in the literature and good agreements are obtained. The numerical examples have demonstrated that the present approach provides very stable and accurate results and effectively eliminates the membrane locking and shear locking in shell problems.

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Section: Scordelis-lo Roofmentioning

confidence: 88%

Section: Pinched Cylindermentioning

confidence: 99%

A linearly conforming radial point interpolation method (LC-RPIM) for shells

et al. 2008

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“…Koziey and Mirza [7] employed a quadratic polynomial for rotational degree of freedom of a triangular shell element with 13 node points and allowed parabolic variation of transverse shear strain. El-Abbasi and Meguid [8] formulated the 7-parameter continuum-based shell model and incorporated the variation of normal stress and strain in the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

A simplified approach for incorporating thickness stress in the analysis of sheet metal forming using shell elements

Cho

Yang

Chung

2002

Numerical Meth Engineering

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SUMMARYA simpliÿed scheme for considering the thickness stress of shell elements induced by contact is presented which improves the accuracy of sheet metal forming analysis. The yield function formulated on the basis of plane stress conditions is modiÿed to incorporate the e ect of transverse normal stress induced by contact forces acting on shell elements and return mapping routine is used to update in-plane stresses at each time step. The transverse normal stress distributions in the thickness direction are determined using the analytic solution of the cylindrical tube under the internal pressure. As numerical examples, uni-axial compression, bi-axial tension and bending tests are treated. The problem of cylindrical cup drawing is also calculated. Each result is compared with the results obtained by the analysis using ABAQUS continuum elements.

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“…In this model, the structure is simulated using a consistent sub-parametric shell element. As explained in detail by Koziey et al [20] and El Damatty et al [17], one of the main advantages of this element is being free from spurious shear modes and locking phenomenon associated with the isoparametric shell element. Two components of hydrodynamic pressure develop inside a liquid-ÿlled tank as a result of dynamic excitation; the sloshing component resulting from the free surface wave motion, and the impulsive component, which synchronizes with the vibration of the tank walls.…”

Section: Meridional Variation Of the Modes Of Vibrationmentioning

confidence: 99%

Experimental identification of the vibration modes of liquid‐filled conical tanks and validation of a numerical model

Sweedan

Damatty

2003

Earthq Engng Struct Dyn

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SUMMARYTruncated conical-shaped shells are widely used as containment vessels in elevated water tanks. In the aftermath of earthquakes, water tanks play a vital role in supplying the water needed for extinguishing ÿres that usually occur during these catastrophic events. As such, special attention has to be given when designing water tanks in order to assure safety and functionality of these structures during a seismic event. To the best of the authors' knowledge, this paper reports the ÿrst experimental program conducted to evaluate the dynamic characteristics of liquid-ÿlled exible conical shell structures. A small-scale aluminium conical shell model was mounted to a shaking table and subjected to a set of dynamic excitations. In the ÿrst phase of the experimental program, acceleration measurements were used to identify the ÿrst two modes of vibration. In the second experimental phase, the cos(Â)-modes were identiÿed through base shear and overturning moment measurements. The study was also conducted analytically using a numerical model that was previously developed by El Damatty et al. The model accounts for the e ect of the added mass resulting from the developed hydrodynamic pressure through a proper uid-structure interaction formulation. Tests conducted in the two experimental phases were simulated using this numerical model. In general, the experimental and analytical predictions of the dynamic characteristics of the tested model were in very good agreement. This provides a validation of the previously developed numerical model. The analytical model was then implemented to assess the generalized added mass of the contained uid.

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Consistent thick shell element

Cited by 68 publications

References 19 publications

A linearly conforming radial point interpolation method (LC-RPIM) for shells

A linearly conforming radial point interpolation method (LC-RPIM) for shells

A simplified approach for incorporating thickness stress in the analysis of sheet metal forming using shell elements

Experimental identification of the vibration modes of liquid‐filled conical tanks and validation of a numerical model

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