Our Vision

We bridge the gap between computational mechanics, mathematical optimization, and artificial intelligence to fundamentally transform how engineered structures and systems are designed.

Intelligent Design for Science Intelligent Design for Industry Intelligent Design for Robotics
AI for scientific microstructure design

Research Highlights

Bicontinuous multiscale structure and bone implant
Nature Communications · 2026

Data-driven Inverse Design of Multifunctional Bicontinuous Multiscale Structures

Lili Wang, Jingxuan Feng, Xiaoya Zhai*, Jiacheng Han, Kai Chen, Winston Wai Shing Ma, Ligang Liu, Xiao-Ming Fu

We combine optimization, generative AI, and active learning to construct four L-BOM datasets containing 404,355 boundary-compatible, bicontinuous open-cell microstructures. Their shared boundaries enable rapid multiscale assembly without connectivity post-processing, supporting multifunctional designs with tunable elasticity and permeability, including bone implants and chair components.

Near-isotropic Metamaterials
Advanced Science · 2024

Near-isotropic, Extreme-stiffness, Continuous 3D Mechanical Metamaterial Sequences Using Implicit Neural Representation

Yunkai Zhao+, Lili Wang+, Xiaoya Zhai*, Jiacheng Han, et al.

Three near-isotropic, extreme-stiffness, continuous 3D metamaterial sequences are proposed by combining topology optimization and data-driven design, achieving over 98% of the Hashin-Shtrikman upper bounds across densities from 0.2 to 1. Sequences are represented as implicit neural functions for resolution-free continuous density variation.

Differentiable Microstructures
CMAME / M&D · 2024

Topology Optimization of Differentiable Microstructures

2D: Xiaoya Zhai, Weiming Wang, Falai Chen, Jun Wu*  |  3D: Jiacheng Han, Xiaoya Zhai*, Lili Wang, et al.

Several 2D/3D differentiable microstructures with bulk modulus close to the Hashin-Shtrikman upper bound are proposed for the first time. Discontinuities are avoided via a novel heat-equation-based regularization, enabling continuously parameterized microstructure families across the full density range.

GPU Solver
SMO · 2023

An Optimized, Easy-to-use, Open-source GPU Solver for Large-scale Inverse Homogenization Problems

Di Zhang, Xiaoya Zhai*, Ligang Liu, Xiao-Ming Fu

We propose a high-performance GPU solver for inverse homogenization problems to design high-resolution 3D microstructures. Practical examples with 512³ ≈ 134.2 million finite elements run in less than 40 seconds per iteration on an NVIDIA GTX 1080Ti, with an easy-to-use framework requiring fewer than 20 lines of user code.

LMPA Additive Manufacturing
Additive Mfg · 2023

Low-melting-point Alloys Integrated Extrusion Additive Manufacturing

Jingchao Jiang+, Xiaoya Zhai+, Kang Zhang+, et al., Wei-Hsin Liao* (equal contribution)

A novel dual-nozzle extrusion strategy successfully fabricates complex low-melting-point alloy (LMPA) components for the first time, enabling composite parts with improved mechanical properties and integrated circuit manufacturing for smart structures, electromagnetic shielding, and energy harvesting.