Lagrangian–Eulerian multidensity topology optimization with the material point method
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 30, 2021
- Source ID
- 10.1002/nme.6668
Entities
People
- Bo Zhu
- Chenfanfu Jiang
- Minchen Li
- Xuan Li
- Yixin Zhu
- Yue Li
Organizations
- Dartmouth College
- Defense Advanced Research Projects Agency
- ETH Zurich
- National Science Foundation
- Office of Naval Research
- United States Department of Energy
- University of California, Los Angeles
- University of Pennsylvania