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},
  journal={International Journal for Numerical Methods in Engineering},
  pages={477 - 491}
We present the cell‐based maximum entropy (CME) approximants in E3 space by constructing the smooth approximation distance function to polyhedral surfaces. CME is a meshfree approximation method combining the properties of the maximum entropy approximants and the compact support of element‐based interpolants. The method is evaluated in problems of large strain elastodynamics for three‐dimensional (3D) continua using the well‐established meshless total Lagrangian explicit dynamics method. The… 
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