Density-based topology optimization via the deep energy method
Paper: Deep energy method in topology optimization applications
Authors: Junyan He, Charul Chadha , Shashank Kushwaha, Seid Koric, Diab Abueidda, Iwona Jasiuk
We provide three different examples:
- Compliance minimization in 2D
- Compliance minimization in 3D
- Design of 2D metamaterial unit cell to maximize the homogenized shear modulus
The source code for this project was partly adapted from the work by Nguyen et al.: Nguyen-Thanh, Vien Minh, Xiaoying Zhuang, and Timon Rabczuk. "A deep energy method for finite deformation hyperelasticity." European Journal of Mechanics-A/Solids 80 (2020): 103874.
as well as the work by Chadha et al.: Chadha, Charul, et al. "Optimizing Hyperparameters and Architecture of Deep Energy Method." (2022).
The MMA solver used in topology optimization was adapted from the work of Chandrasekhar et al.: Chandrasekhar, Aaditya, Saketh Sridhara, and Krishnan Suresh. "AuTO: a framework for Automatic differentiation in Topology Optimization." Structural and Multidisciplinary Optimization 64.6 (2021): 4355-4365.