Simulation

Computational Homogenization for Inverse Design of Surface-based Inflatables

We develop an effcient homogenization technique for analyzing the contractions and stiffnesses of periodic inflatable patterns and use it for inverse design of general surface-based inflatables.

A Neural-Preconditioned Poisson Solver for Mixed Dirichlet and Neumann Boundary Conditions

We introduce a neural-preconditioned iterative solver for Poisson equations with mixed boundary conditions.

Efficient Layer-by-Layer Simulation for Topology Optimization

Topology optimization and additive manufacturing together enable the optimal design and direct fabrication of complex geometric parts with groundbreaking performance for diverse applications. However constraining the optimization to ensure that the …

Topology Optimization via Frequency Tuning of Neural Design Representations

By tuning the scale hyperparameter of a neural design representation based on a Fourier feature network, we can control the smoothness of designs without explicit smoothing filters.

Inflatables

Simulation and inverse design for surface-based inflatables.

Computational Inverse Design of Surface-based Inflatables

Fusing two sheets along parallel curves creates pockets that inflate into tubes and deform into a curved 3D shape; we optimize the fusing curve network to reproduce an input geometry.

ElasticRods

C++ simulation framework for elastic rods and X-Shells.

Analytic Eigensystems for Isotropic Membrane Energies

This technical report derives analytical expressions for the eigenvalues and eigenmatrices of an isotropic membrane energy density.