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    Arbitrary-Order Sensitivity Analysis in Phononic Metamaterials Using the Multicomplex Taylor Series Expansion Method Coupled With Bloch’s Theorem 

    Source: Journal of Applied Mechanics:;2021:;volume( 089 ):;issue: 002:;page 21007-1
    Author(s): Navarro, Juan David; Millwater, Harry R.; Montoya, Arturo; Restrepo, David
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Phononic metamaterials (PMs) exhibit frequency ranges at which elastic waves are attenuated called band gaps. However, this phenomenon is highly sensitive to geometrical variations and the unit cell’s mechanical properties. ...
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    HYPAD-UQ: A Derivative-Based Uncertainty Quantification Method Using a Hypercomplex Finite Element Method 

    Source: Journal of Verification, Validation and Uncertainty Quantification:;2023:;volume( 008 ):;issue: 002:;page 21002-1
    Author(s): Balcer, Matthew; Aristizabal, Mauricio; Rincon-Tabares, Juan-Sebastian; Montoya, Arturo; Restrepo, David; Millwater, Harry
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A derivative-based uncertainty quantification (UQ) method called HYPAD-UQ that utilizes sensitivities from a computational model was developed to approximate the statistical moments and Sobol' indices of the model output. ...
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