3D fluid–structure interaction analysis of a typical liquid rocket engine cycle based on a novel viscoplastic damage model

Kowollik, D.; Tini, Vivian; Reese, Stefanie; Haupt, Matthias

doi:10.1002/nme.4488

Cited by 27 publications

(29 citation statements)

References 32 publications

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“…is a discrete version of the fourth equation in (16) and completes the system (21). Notice that the left hand side of (24) comes from (23) and the right hand side from (22).…”

Section: Then Letting U (M) Imentioning

confidence: 96%

“…Conjugate heat transfer plays an important role in many applications and its simulation has proved essential [2]. Examples for thermal fluid-structure interaction are cooling of gas-turbine blades, thermal anti-icing systems of airplanes [8], supersonic reentry of vehicles from space [19,23], gas quenching, which is an industrial heat treatment of metal workpieces [17,33] or the cooling of rocket nozzles [20,21].…”

Section: Introductionmentioning

confidence: 99%

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On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction

Monge

Birken

2017

Comput Mech

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We consider the Dirichlet-Neumann iteration for partitioned simulation of thermal fluid-structure interaction, also called conjugate heat transfer. We analyze its convergence rate for two coupled fully discretized 1D linear heat equations with jumps in the material coefficients across the interface. The heat equations are discretized using an implicit Euler scheme in time, whereas a finite element method on one domain and a finite volume method with variable aspect ratio on the other one are used in space. We provide an exact formula for the spectral radius of the iteration matrix. The formula indicates that for large time steps, the convergence rate is the aspect ratio times the quotient of heat conductivities and that decreasing the time step will improve the convergence rate. Numerical results confirm the analysis and show that the 1D formula is a very good estimator in 2D and even for nonlinear thermal FSI applications.

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“…is a discrete version of the fourth equation in (16) and completes the system (21). Notice that the left hand side of (24) comes from (23) and the right hand side from (22).…”

Section: Then Letting U (M) Imentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction

Monge

Birken

2017

Comput Mech

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“…The coupled elastoplastic damage model discussed here is a direct nonlocal extension of a corresponding local model which was presented earlier and discussed in detail e. g. by [1], [2], [3]. Nonlocality is introduced into the model in a straightforward way by exchanging in every model equation the local damage variable D by its nonlocal counterpartD (except forḊ in Eq.…”

Section: D Elastoplasticity Model Coupled To Nonlocal Damagementioning

confidence: 99%

“…Combined nonlinear isotropic and kinematic hardening as well as continuum damage of Lemaitre-type are considered. The model is a direct nonlocal extension of a corresponding local model which was presented earlier (see e. g. [1], [2], [3]). Conclusions drawn from a numerical benchmark test performed in this study demonstrate that the nonlocal damage model is suitable to provide mesh-independent solutions in finite element simulations.…”

mentioning

confidence: 99%

Investigation of an elastoplastic material model coupled to nonlocal damage in an implicit‐gradient framework

Brepols

Wulfinghoff

Reese

2015

Proc Appl Math and Mech

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In this work, an elastoplastic material model coupled to nonlocal damage is discussed which is based on an implicit gradientenhanced approach. Combined nonlinear isotropic and kinematic hardening as well as continuum damage of Lemaitre-type are considered. The model is a direct nonlocal extension of a corresponding local model which was presented earlier (see e. The problem at hand is defined in the domain of interest Ω by the usual balance equations of linear momentum and a partial differential equation (PDE) which reflects the gradient-extension of the material model (see Eq. (1)). The gradient-extension is implicit in the sense that an additional PDE has to be solved for the scalar 'nonlocal' damage variableD, an approach inspired by the work of [4]. Suitable boundary conditions for u andD (e. g. Eqns. (2) and (3)) have to be provided on the boundary Γ = Γ t ∪ Γ u , Γ t ∩ Γ u = ∅, which leads to the following strong form of the problem:The gradient influence ofD within the material is expressed by means of the parameter c which introduces an internal length into the model. The corresponding weak form of the problem needed in order to work e. g. with finite elements is then obtained in the usual way by multiplying Eqns.(1) of the model individually by suitable test functions, integrating over the domain and applying Gauss' theorem (not shown here for brevity). The outcome is a problem in which both the displacements u and the nonlocal damageD are treated as independent field variables. It can be proven that implicit gradient-extended models are largely equivalent to specific nonlocal integral-type formulations which justifies their classification as 'true' nonlocal material models [5]. 3D elastoplasticity model coupled to nonlocal damageThe coupled elastoplastic damage model discussed here is a direct nonlocal extension of a corresponding local model which was presented earlier and discussed in detail e. g. by

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“…2) for the lifetime predicition of a typical rocket combustion chamber by means of a sequentially coupled thermomechanical analysis. In Kowollik et al [5] the viscoplastic damage model is implemented in a fluid-structure interaction (FSI) analysis. Using the example of a typical rocket combustion chamber, the results of a complete engine cycle show the potential of the new numerical scheme for the lifetime prediction.…”

Section: Introductionmentioning

confidence: 99%

Lifetime prediction of a rocket combustion chamber wall by a viscoplastic damage model

Fassin

Tini

Vladimirov

et al. 2014

Proc Appl Math and Mech

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Regeneratively cooled nozzle structures of Reusable Launch Vehicles (RLV) belong to the most critical components of a space shuttle main engine. The so-called doghouse effect is a failure mode in the rocket combustion chamber wall, which has been observed experimentally. Within the Collaborative Research Centre SFB-TR 40 of the German Research Foundation (DFG), new technologies for the future space-transport-systems are being developed. By using a new continuum mechanical approach, motivated by a rheological model, we are able to reproduce the doghouse effect. Moreover we intend to give reliable lifetime predictions for rocket combustion chamber structures so that in future components can be tested virtually instead of conducting real experiments.

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3D fluid–structure interaction analysis of a typical liquid rocket engine cycle based on a novel viscoplastic damage model

Cited by 27 publications

References 32 publications

On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction

On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction

Investigation of an elastoplastic material model coupled to nonlocal damage in an implicit‐gradient framework

Lifetime prediction of a rocket combustion chamber wall by a viscoplastic damage model

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