Simulation of closed thin-walled structures partially filled with fluid

Dijk, R. van; Keulen, Fred van; Sterk, J. C.

doi:10.1016/s0020-7683(99)00287-5

Cited by 13 publications

(9 citation statements)

References 19 publications

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“…The case of pneumatic membrane structures featuring a volume dependent gas support has already been part of several investigations, see [5], [6], [8] and [19]. As e.g.…”

Section: Discussion Of Volume Coupling Termsmentioning

confidence: 99%

“…Early investigations on pure gas loaded membrane structures considering both the volume change of the gas and follower force effects of the pressure can be found in [5], [6]. At this point we have to refer to van Dijk [8] who already discussed partially fluid and gas filled containers, however, the effects of the nonuniform hydrostatic pressure were neglected in comparison to the internal gas pressure. Consequently the derivations were restricted to small fluid and gas filled structures with small deformations, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…drinking bottles, but extensions are needed for larger containments as oil or water tanks, where the hydrostatic pressure dominates. In addition structures undergoing large deformations, such as membranes, for which the water depth is modified due to deformations, were not considered in [8], as gravity effects have been neglected. All contributions in fluid-structure interaction considering compressible fluids and fluids in gravity field with a free fluid surface [1], [2], [22], [23] discretize the fluids by finite elements.…”

Section: Introductionmentioning

confidence: 99%

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On the static interaction of fluid and gas loaded multi-chamber systems in large deformation finite element analysis

Haßler

Schweizerhof

2008

Computer Methods in Applied Mechanics and Engineering

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Completing previous studies [5], [6], [18], [19] and [20] on the deformation dependence of gas or fluid loadings with the assumption of finite gas and fluid volumes, the current contribution focuses on the influence of modifications of the size and shape of a finite structure filled with combinations of gas and incompressible or compressible heavy fluid. In contrast to the previous contributions [5], [18], [19] and [20], where different finite element formulations for some specific load cases were derived, this derivation provides a general formulation of a multi chamber system filled with gas and additional compressible heavy fluid. By introducing two stiffness parameters it is possible to reduce the formulation to the pure pneumatic or hydrostatic load cases described in earlier works. Further on it will be shown how to manage the modification of the load cases during the loading process. The linearization of the corresponding virtual work expression, necessary for a Newton-type solution algorithm, leads to additional terms for the volume dependence [6], [19], [20] and the expected fully symmetric stiffness matrix. The discretization of the solid structures with finite elements leads to standard stiffness matrix forms for the structures plus the so-called load stiffness matrices [26] and several dyadic rank updates -depending on the type of filling -for each filled structure part, assuming that loaded surface segments are identical with the element surfaces. A further focus is on a specific solution scheme exploiting the dyadic rank update structure. Some numerical examples show the effectiveness of the approach and the necessity to take the corresponding terms in the variational expression and in the linearization into account.

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“…The case of pneumatic membrane structures featuring a volume dependent gas support has already been part of several investigations, see [5], [6], [8] and [19]. As e.g.…”

Section: Discussion Of Volume Coupling Termsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the static interaction of fluid and gas loaded multi-chamber systems in large deformation finite element analysis

Haßler

Schweizerhof

2008

Computer Methods in Applied Mechanics and Engineering

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“…In [15], a system was specifically developed for the evaluation of the contact pressures between the bottom of the container and the fixed base, using pressure transducers in order to be experimentally correlated with a drop test. In [16], a probe for monitoring the internal pressure of the bottle was considered, stating the decrease in the volume of air during the deformation phase. In [17], a system of circumferential bands driven by a traction system was described to determine the radial resistance of the component, being able to characterize the body also orthotopically.…”

Section: Introductionmentioning

confidence: 99%

“…The various papers presented in [19,23] on static and dynamic simulations describe the numerical methods used for the simulation of the bottles. The effect of the interaction between water and air analyzed in [23,29] was considered only from a phenomenological point of view, that is to say, by representing it by a pressure acting on the inner surface of the container, as in [16,30,31]. In some cases, this phenomenon was modeled by means of a membrane consisting of elements that can be infinitely extended and which simulate a contact layer between the contents of the bottle and the wall.…”

Section: Introductionmentioning

confidence: 99%

Modeling Palletized Products: The Case of Semi-Filled Bottles under Top-Load Conditions

et al. 2020

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An investigation on numerical methods able to simplify the mechanical behavior of PET bottles, partially filled with liquid, under compression loadings is presented here. Compressive stress conditions on bottles are very common during their transportation and can be accompanied by large deformations and instabilities that can compromise the integrity of the pack, with the risk of significant damages. The present paper proposes two approaches, both based on finite elements, and with elastic-plastic material models properly defined with the scope of investigating the complex phenomena that take place during these loading conditions. Although not perfect in terms of accuracy, these numerical methods have been proven to be capable to predicti the transport-related integrity risks, showing results that agree with experimental data, especially during the initial phases of load compression.

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Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

Schweizerhof,

Konyukhov

2024

Numerical Meth Engineering

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Load modeling in nonlinear statics, particularly incorporating large deformations differs significantly from the treatment in linear analysis. As in structural dynamics masses in a gravity field generate the loading, their location, and their modifications within the deformation process must be considered in a nonlinear simulation. A specific view besides loading by masses is on gas and fluid interaction with structures. In addition, load control using specifically designed algorithms is evaluated with respect to realistic applications. Within the load modeling an unavoidable, however side aspect, is the general discussion about the so‐called follower forces and non‐conservative loading. As an example of real‐world applications, the specifics of inflated rubber dams are presented.

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Simulation of closed thin-walled structures partially filled with fluid

Cited by 13 publications

References 19 publications

On the static interaction of fluid and gas loaded multi-chamber systems in large deformation finite element analysis

On the static interaction of fluid and gas loaded multi-chamber systems in large deformation finite element analysis

Modeling Palletized Products: The Case of Semi-Filled Bottles under Top-Load Conditions

Some remarks on load modeling in nonlinear structural analysis–Statics with large deformations–Consistent treatment of follower load effects and load control

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