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Lagrangian–Eulerian multidensity topology optimization with the material point method

Journal Article · · International Journal for Numerical Methods in Engineering
DOI:https://doi.org/10.1002/nme.6668· OSTI ID:1781432
 [1];  [2];  [2];  [3];  [4];  [2]
  1. Computer and Information Science University of Pennsylvania Philadelphia Pennsylvania USA, ETH Zürich Zürich Switzerland
  2. Computer and Information Science University of Pennsylvania Philadelphia Pennsylvania USA, Mathematics Department University of California, Los Angeles Los Angeles California USA
  3. Computer Science Department University of California, Los Angeles Los Angeles California USA
  4. Computer Science Dartmouth College Hanover New Hampshire USA

Abstract

In this paper, a hybrid Lagrangian–Eulerian topology optimization (LETO) method is proposed to solve the elastic force equilibrium with the Material Point Method (MPM). LETO transfers density information from freely movable Lagrangian carrier particles to a fixed set of Eulerian quadrature points. This transfer is based on a smooth radial kernel involved in the compliance objective to avoid the artificial checkerboard pattern. The quadrature points act as MPM particles embedded in a lower‐resolution grid and enable a subcell multidensity resolution of intricate structures with a reduced computational cost. A quadrature‐level connectivity graph‐based method is adopted to avoid the artificial checkerboard issues commonly existing in multiresolution topology optimization methods. Numerical experiments are provided to demonstrate the efficacy of the proposed approach.

Sponsoring Organization:
USDOE
OSTI ID:
1781432
Journal Information:
International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 14 Vol. 122; ISSN 0029-5981
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
United Kingdom
Language:
English

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