Computer and Information Science University of Pennsylvania Philadelphia Pennsylvania USA, ETH Zürich Zürich Switzerland
Computer and Information Science University of Pennsylvania Philadelphia Pennsylvania USA, Mathematics Department University of California, Los Angeles Los Angeles California USA
Computer Science Department University of California, Los Angeles Los Angeles California USA
Computer Science Dartmouth College Hanover New Hampshire USA
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.
Li, Yue, et al. "Lagrangian–Eulerian multidensity topology optimization with the material point method." International Journal for Numerical Methods in Engineering, vol. 122, no. 14, Mar. 2021. https://doi.org/10.1002/nme.6668
Li, Yue, Li, Xuan, Li, Minchen, Zhu, Yixin, Zhu, Bo, & Jiang, Chenfanfu (2021). Lagrangian–Eulerian multidensity topology optimization with the material point method. International Journal for Numerical Methods in Engineering, 122(14). https://doi.org/10.1002/nme.6668
Li, Yue, Li, Xuan, Li, Minchen, et al., "Lagrangian–Eulerian multidensity topology optimization with the material point method," International Journal for Numerical Methods in Engineering 122, no. 14 (2021), https://doi.org/10.1002/nme.6668
@article{osti_1781432,
author = {Li, Yue and Li, Xuan and Li, Minchen and Zhu, Yixin and Zhu, Bo and Jiang, Chenfanfu},
title = {Lagrangian–Eulerian multidensity topology optimization with the material point method},
annote = {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.},
doi = {10.1002/nme.6668},
url = {https://www.osti.gov/biblio/1781432},
journal = {International Journal for Numerical Methods in Engineering},
issn = {ISSN 0029-5981},
number = {14},
volume = {122},
place = {United Kingdom},
publisher = {Wiley Blackwell (John Wiley & Sons)},
year = {2021},
month = {03}}
International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Journal Issue: 14 Vol. 122; ISSN 0029-5981