Volumenabhängige Druckbelastung bei großen Deformationen

Rumpel, T.; Schweizerhof, Karl

doi:10.1002/1617-7061(200203)1:1<232::aid-pamm232>3.0.co;2-r

Cited by 4 publications

(12 citation statements)

References 4 publications

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“…we obtain from the normal change parts the symmetric load stiffness matrices for each structural element in contact with gas and/or fluid (see also [15], [9], [10], [11], [12]):…”

Section: Finite Element Mappingmentioning

confidence: 48%

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Nonlinear Finite Element Analysis of Inflatable Prefolded Membrane Structures under Hydrostatic Loading

Haßler

Schweizerhof

2008

Textile Composites and Inflatable Structures II

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Due to their flexibility shell or membrane like structures subjected to gas or fluid loading or gas/fluid support undergo large deformations. In order to describe this deformation dependent loading, where value and direction of the pressure loading are a function of the current configuration of the shell structure, the gas or fluid volumes, which are enclosed by the thin walled structure, have to be considered for the appropriate constitutive equations. Then the numerical formulation of the fluid or gas loading can be derived via an analytical meshfree description for the fluid/gas, which yields a special structure of equations involving the change of the gas or fluid volume respectively the change of the wetted part of the shell surface, see . This procedure finally leads to the so-called load-stiffness matrix, to which (in the case of enclosed gas/fluid volumes) several rank updates describing the coupling of the fluid or gas with the structural displacements in addition to the deformation dependence of the pressure load [15] are added. The numerical examples of e.g. a) deploying simply folded membrane structures and b) multi-chamber structures containing fluid and air in arbitrary combination demonstrate, how the simulation of structures with static gas and fluid loading or support can be efficiently performed without discretizing the fluid resp. the gas.

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“…we obtain from the normal change parts the symmetric load stiffness matrices for each structural element in contact with gas and/or fluid (see also [15], [9], [10], [11], [12]):…”

Section: Finite Element Mappingmentioning

confidence: 48%

“…Because all terms have already been derived in detail in [7] and [10], they will only be briefly presented in this contribution. The virtual potential…”

Section: Virtual Work Expressionmentioning

confidence: 49%

Nonlinear Finite Element Analysis of Inflatable Prefolded Membrane Structures under Hydrostatic Loading

Haßler

Schweizerhof

2008

Textile Composites and Inflatable Structures II

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“…The deformation of a pressurized structural part-containing a fluid-can be described within the framework of virtual work via the external virtual work of a pressure load as shown in References [11][12][13]. The pressure level p is then dependent on the current position x of all surface points of the structure in space and their current position relative to the free fluid surface.…”

Section: External Virtual Work Of Pressure Loading Acting On a Given mentioning

confidence: 99%

Hydrostatic fluid loading in non‐linear finite element analysis

Rumpel

Schweizerhof

2004

Numerical Meth Engineering

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SUMMARYDeformation dependent pressure loading on solid structures is created by the interaction of fluids with the deformable surface of a structure. Such fairly simple load models are valid for static and quasistatic analyses and they are a very efficient tool to represent the influence of a fluid on the behaviour of structures. Completing previous studies on the deformation dependence of the loading with the assumption of finite gas volumes, the current contribution focuses on the influence of modifications of the size and shape of a finite structure containing an incompressible fluid with a free surface. The linearization of the corresponding virtual work expression necessary for a Newton-type solution leads to additional terms for the volume dependence. Investigating these terms the conservativeness of the problem can be proven by the symmetry of the linearized form. Similarly to gas loading, the discretization of the structure with finite elements leads to standard stiffness matrix forms plus the so-called load stiffness matrices and a rank-one update for each filled structure part, if the loaded surface segments are identical with element surfaces. Some numerical examples show the effectiveness of the approach and the necessity to take the corresponding terms in the variational expression and the following linearization into account.

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“…we obtain from the normal change parts the symmetric load stiffness matrices for each structural element in contact with gas and/or fluid (see also [11], [5], [6], [7], [8]):…”

Section: Finite Element Mappingmentioning

confidence: 48%

“…Because all terms have already been derived in detail in [4] and [6], they will only be briefly presented in this contribution. The virtual potential…”

Section: Virtual Work Expressionmentioning

confidence: 49%

On the Stability Analysis of Thin Walled Shell Structures Containing Gas or Fluid

Haßler¹,

Schweizerhof²

III European Conference on Computational Mechanics

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Volumenabhängige Druckbelastung bei großen Deformationen

Cited by 4 publications

References 4 publications

Nonlinear Finite Element Analysis of Inflatable Prefolded Membrane Structures under Hydrostatic Loading

Nonlinear Finite Element Analysis of Inflatable Prefolded Membrane Structures under Hydrostatic Loading

Hydrostatic fluid loading in non‐linear finite element analysis

On the Stability Analysis of Thin Walled Shell Structures Containing Gas or Fluid

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