A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

Bennani, Lokman; Villedieu, Philippe; Salaün, Michel

doi:10.1016/j.engfracmech.2016.02.050

Cited by 21 publications

(20 citation statements)

References 38 publications

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“…The phenomenon of fracture propagation is rarely discussed in piezoelectric de-icing papers. It is necessary to turn to the modeling of electro-impulse [33] [34], the cohesive zone model [33] and the energy balance approach [35] [36]. The energy balance approach is used in this paper because of its similarity with energy approaches to determine resonance modes.…”

Section: Modeling Of Piezoelectric De-icing Systems: State Of Thementioning

confidence: 99%

Electromechanical Resonant Ice Protection Systems: Analysis of Fracture Propagation Mechanisms

et al. 2018

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Recent research is showing growing interest in low-power electromechanical de-icing systems and, in particular, de-icing systems based on piezoelectric actuators. These systems use the vibrations generated by piezoelectric actuators at resonance frequencies to produce shear stress at the interface between the ice and the support or to produce tensile stress in the ice. This paper provides analytical and numerical models enabling a better understanding of the main de-icing mechanisms of resonant actuation systems. Different possible ice shedding mechanisms involving cohesive and adhesive fractures are analyzed with an approach combining modal, stress and crack propagation analyses. Simple analytical models are proposed to better understand the effects on ice shedding of the type of mode, ice thickness, or frequency with respect to cohesive and adhesive fractures.

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Section: Modeling Of Piezoelectric De-icing Systems: State Of Thementioning

confidence: 99%

Electromechanical Resonant Ice Protection Systems: Analysis of Fracture Propagation Mechanisms

et al. 2018

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“…This requires a mechanical model of the ice blocks and poses the problem of characterizing the physical properties of atmospheric ice. Some work in this direction has already been performed [4,3]. The next step is to integrate this model into the present coupling procedure.…”

Section: Resultsmentioning

confidence: 99%

A non-overlapping optimized Schwarz method for the heat equation with non linear boundary conditions and with applications to de-icing

Bennani

Trontin

Chauvin

et al. 2020

Computers & Mathematics with Applications

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When simulating complex physical phenomena such as aircraft icing or de-icing, several dedicated solvers often need to be strongly coupled. In this work, a non-overlapping Schwarz method is constructed with the unsteady simulation of de-icing as the targetted application. To do so, optimized coupling coefficients are first derived for the one dimensional unsteady heat equation with linear boundary conditions and for the steady heat equation with non-linear boundary conditions. The choice of these coefficients is shown to guarantee the convergence of the method. Using a linearization of the boundary conditions, the method is then extended to the case of a general unsteady heat conduction problem. The method is tested on simple cases and the convergence properties are assessed theoretically and numerically. Finally the method is applied to the simulation of an aircraft electrothermal de-icing problem in two dimensions.

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“…With these results at hand, the next step is to couple this methodology with a solver for an electrothermal ice protection system [8]. Moreover, combining them with recent work on ice shedding mechanisms [5,4] would enable the simulation of a full de-icing cycle. Therefore, although the x component is not zero strictly speaking, not taking it into account is a reasonable approximation.…”

Section: Discussionmentioning

confidence: 99%

An implicit time marching Galerkin method for the simulation of icing phenomena with a triple layer model

Chauvin

Bennani

Trontin

et al. 2018

Finite Elements in Analysis and Design

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In the context of more electrical aircraft and reduction of fuel consumption, aircraft manufacturers are moving towards more complex and transient ice protection systems. The operating of these systems involves several unsteady heat and mass transfer phenomena. Modelling and numerical simulation play an important role in the investigation of these unsteady phenomena. In this paper, a model for unsteady ice build-up and melting is presented. The model is based on a triple layer assumption. In addition, a tailored numerical methodology for solving the governing partial differential equations is also described. It is based on a Galerkin finite element method and a Gauss-Seidel like implicit time marching scheme. The global method is validated and its capabilities are demonstrated on several cases.

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A mixed adhesion–brittle fracture model and its application to the numerical study of ice shedding mechanisms

Cited by 21 publications

References 38 publications

Electromechanical Resonant Ice Protection Systems: Analysis of Fracture Propagation Mechanisms

Electromechanical Resonant Ice Protection Systems: Analysis of Fracture Propagation Mechanisms

A non-overlapping optimized Schwarz method for the heat equation with non linear boundary conditions and with applications to de-icing

An implicit time marching Galerkin method for the simulation of icing phenomena with a triple layer model

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