Cell-based Maximum Entropy Approximants for Three Dimensional Domains: Application in Large Strain Elastodynamics using the Meshless Total Lagrangian Explicit Dynamics Method

  title={Cell-based Maximum Entropy Approximants for Three Dimensional Domains: Application in Large Strain Elastodynamics using the Meshless Total Lagrangian Explicit Dynamics Method},
  author={Konstantinos A. Mountris and George C. Bourantas and Daniel Mill{\'a}n and Grand Roman Joldes and Karol Miller and Esther Pueyo and Adam Wittek},
In this paper, we extend the Cell-based Maximum Entropy (CME) approximants in E3 by constructing smooth approximation distance function to polyhedral surfaces. The motivation of this work is to evaluate the CME approximants in the context of large strain elastodynamics for three-dimensional solids using the well-established Meshless Total Lagrangian Explicit Dynamics (MTLED) method. Several numerical examples are solved to evaluate the performance of CME in MTLED for both regular and irregular… 
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