Nonlinear Inverse Design of Mechanical Multi-Material Metamaterials Enabled by Video Denoising Diffusion and Structure Identifier
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Metamaterials, synthetic materials with customized properties, have emerged as a promising field due to advancements in additive manufacturing. These materials derive unique mechanical properties from their internal lattice structures, which are often composed of multiple materials that repeat geometric patterns. While traditional inverse design approaches have shown potential, they struggle to map nonlinear material behavior to multiple possible structural configurations. This paper presents a novel framework leveraging video diffusion models, a type of generative artificial Intelligence (AI), for inverse multi-material design based on nonlinear stress-strain responses. Our approach consists of two key components: (1) a fields generator using a video diffusion model to create solution fields based on target nonlinear stress-strain responses, and (2) a structure identifier employing two UNet models to determine the corresponding multi-material 2D design. By incorporating multiple materials, plasticity, and large deformation, our innovative design method allows for enhanced control over the highly nonlinear mechanical behavior of metamaterials commonly seen in real-world applications. It offers a promising solution for generating next-generation metamaterials with finely tuned mechanical characteristics.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 18 of its 74 references that are in the map. First posted on arXiv 20 Sep 2024.
Builds on
18 of 74 references.
Closest ancestors · 2
Same direction, newest first
- 2024Guided Diffusion for Fast Inverse Design of Density-based Mechanical Metamaterials24 Jan
- 2023Denoising diffusion algorithm for inverse design of microstructures with fine-tuned nonlinear material properties24 Feb
Other references · 16
- 2020Denoising Diffusion Probabilistic Modelscited by 21,076
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,255
- 2022Hierarchical Text-Conditional Image Generation with CLIP Latentscited by 6,585
- 2022Photorealistic Text-to-Image Diffusion Models with Deep Language Understandingcited by 6,355
- 2022Classifier-Free Diffusion Guidancecited by 5,847
- 2023SDXL: Improving Latent Diffusion Models for High-Resolution Image Synthesiscited by 4,356
- 2022Imagen Video: High Definition Video Generation with Diffusion Modelscited by 1,778
- 2024Sora: A Review on Background, Technology, Limitations, and Opportunities of Large Vision Modelscited by 477
- 2024Fast High-Resolution Image Synthesis with Latent Adversarial Diffusion Distillationcited by 279
- 2022Equivariant Energy-Guided SDE for Inverse Molecular Designcited by 73
- 2020Deep Generative Modeling for Mechanistic-based Learning and Design of Metamaterial Systemscited by 52
- 2023Inverse-design of nonlinear mechanical metamaterials via video denoising diffusion modelscited by 48
4 more
- 2024Advanced Deep Operator Networks to Predict Multiphysics Solution Fields in Materials Processing and Additive Manufacturingcited by 12
- 2020Computing multiple solutions of topology optimization problemscited by 7
- 2021AuTO: A Framework for Automatic differentiation in Topology Optimizationcited by 7
- 2023Designing impact-resistant bio-inspired low-porosity structures using neural networkscited by 1
Built on by
Citing papers per year: 2024: 1; 2025: 2; 2026: 1.
4 papers.
- 2025MIND: Microstructure INverse Design with Generative Hybrid Neural Representationcited by 4
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AIcited by 3
- 2024Univariate Conditional Variational Autoencoder for Morphogenic Patterns Design in Frontal Polymerization-Based Manufacturingcited by 1
- 2026Co-PiLOT: Constrained Physics-Informed Latent Optimization for Target-Driven Inverse Designcited by 1
- 2026Co-PiLOT: Constrained Physics-Informed Latent Optimization for Target-Driven Inverse Design29 Sep 2026
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AI6 Oct 2025
- 2025MIND: Microstructure INverse Design with Generative Hybrid Neural Representation1 Feb 2025
- 2024Univariate Conditional Variational Autoencoder for Morphogenic Patterns Design in Frontal Polymerization-Based Manufacturing23 Oct 2024
Similar, not cited
Close in wording, no citation either way
- 2025Algebraic Language Models for Inverse Design of Metamaterials via Diffusion Transformers
- 2024Inverse designing metamaterials with programmable nonlinear functional responses in graph space
- 2025Inverse Design of Metamaterials with Manufacturing-Guiding Spectrum-to-Structure Conditional Diffusion Model
- 2026RAG: A Random-Forest-Based Generative Design Framework for Uncertainty-Aware Design of Metamaterials with Complex Functional Response Requirements
- 2025Denoising diffusion models for inverse design of inflatable structures with programmable deformations
- 2026ReGDiff: Guided Diffusion in Regulated Latent Space for Exploring Metamaterial Voxel Geometry
- 2026Property-Informed Diffusion-Based Text-to-Microstructure Generation
- 2026Physics-Guided Sequence-Based Generative Framework for Acoustic Metamaterial Inverse Design