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    On Solving One Dimensional Partial Differential Equations With Spatially Dependent Variables Using the Wavelet Galerkin Method 

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 006:;page 61012
    Author(s): Jones, Simon; Legrand, Mathias
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The discrete orthogonal waveletGalerkin method is illustrated as an effective method for solving partial differential equations (PDE's) with spatially varying parameters on a bounded interval. Daubechies scaling functions ...
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    Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material 

    Source: Journal of Applied Mechanics:;2016:;volume( 083 ):;issue: 005:;page 51002
    Author(s): Breslavsky, Ivan D.; Amabili, Marco; Legrand, Mathias
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of NeoHookean and Fung materials. Two types of pressure loads are ...
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    Modeling of Abradable Coating Removal in Aircraft Engines Through Delay Differential Equations 

    Source: Journal of Engineering for Gas Turbines and Power:;2013:;volume( 135 ):;issue: 010:;page 102102
    Author(s): Salvat, Nicolas; Batailly, Alain; Legrand, Mathias
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In modern turbomachinery, abradable materials are implemented on casings to reduce operating tip clearances and mitigate direct unilateral contact occurrences between rotating and stationary components. However, both ...
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    Full Three-Dimensional Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular Speed 

    Source: Journal of Engineering for Gas Turbines and Power:;2017:;volume( 139 ):;issue: 003:;page 31202
    Author(s): Batailly, Alain; Legrand, Mathias; Pierre, Christophe
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Modern aircraft engine designs feature reduced clearances that may initiate structural contacts between rotating and static components. A numerical strategy dedicated to the simulation of such interactions is here enriched ...
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    Numerical Experimental Confrontation in the Simulation of Tool/Abradable Material Interaction 

    Source: Journal of Engineering for Gas Turbines and Power:;2013:;volume( 135 ):;issue: 006:;page 62102
    Author(s): Batailly, Alain; Cuny, Marion; Legrand, Mathias; Philippon, Sylvain
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In turbomachinery, depositing abradable coatings along the circonference of casings is recognized as a robust solution which combines the adjustment of operating clearances with the reduction of nonrepairable damages ...
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    Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction 

    Source: Journal of Engineering for Gas Turbines and Power:;2019:;volume( 141 ):;issue: 002:;page 22501
    Author(s): Guérin, Nicolas; Thorin, Anders; Thouverez, Fabrice; Legrand, Mathias; Almeida, Patricio
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Turbomachinery rotor–stator unilateral contact induced interactions play a growing role in lifecycle analysis and thus motivate the use of accurate numerical prediction tools. Recent literature confirmed by ongoing in-house ...
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    Nonsmooth Thermoelastic Simulations of Blade–Casing Contact Interactions 

    Source: Journal of Engineering for Gas Turbines and Power:;2019:;volume( 141 ):;issue: 002:;page 22502
    Author(s): Thorin, Anders; Guérin, Nicolas; Legrand, Mathias; Thouverez, Fabrice; Almeida, Patricio
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In turbomachinery, it is well known that tighter operating clearances improve the efficiency. However, this leads to unwanted potential unilateral and frictional contact occurrences between the rotating (blades) and ...
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    Redesign of a High Pressure Compressor Blade Accounting for Nonlinear Structural Interactions 

    Source: Journal of Engineering for Gas Turbines and Power:;2015:;volume( 137 ):;issue: 002:;page 22502
    Author(s): Batailly, Alain; Legrand, Mathias; Millecamps, Antoine; Cochon, Sأ©bastien; Garcin, Franأ§ois
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Recent numerical developments dedicated to the simulation of rotor/stator interaction involving direct structural contacts have been integrated within the Snecma industrial environment. This paper presents the first attempt ...
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