Article Modular metamaterials with deep learning–enabled customizable stress–strain responses

Xiaofeng Guo ORCID ; Miaomiao He ; Ikumu Watanabe SAMURAI ORCID ; Jiaxin Zhou SAMURAI ORCID ; Takayuki Yamada ORCID ; Yong Yi ; Xiaoyang Zheng ORCID

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Citation
Xiaofeng Guo, Miaomiao He, Ikumu Watanabe, Jiaxin Zhou, Takayuki Yamada, Yong Yi, Xiaoyang Zheng. Modular metamaterials with deep learning–enabled customizable stress–strain responses. Materials & Design. 2026, 263 (), 115584. https://doi.org/10.1016/j.matdes.2026.115584

Description:

(abstract)

Modular mechanical metamaterials offer unique opportunities for programmable and reconfigurable functionality through simple geometric rearrangements. Inspired by the modularity of Lego blocks, we propose a new class of modular metamaterials composed of three standardized modules—linear, yielding-like, and snap-through buckling elements—that can be assembled into two- and three-dimensional grids to realize diverse nonlinear stress–strain responses. To accelerate design and optimization, we integrate deep learning (DL) with the metamaterial design process. A convolutional neural network-based predictor rapidly estimates the stress–strain curves of given modular configurations, achieving a prediction accuracy of . Furthermore, a conditional variational autoencoder-based inverse designer enables the automatic generation of modular configurations that match target stress–strain curves, demonstrating high fidelity (). The proposed DL framework allows rapid, scalable, and reprogrammable design of nonlinear mechanical responses without exhaustive simulations or manual tuning. This study establishes a universal, data-driven strategy for the inverse design of modular metamaterials, paving the way toward intelligent, reconfigurable material systems for applications in soft robotics and adaptive structures.

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Keyword: Mechanical metamaterials, Deep learning, Inverse design, Nonlinear mechanical property, Modular material

Date published: 2026-01-30

Publisher: Elsevier BV

Journal:

  • Materials & Design (ISSN: 02641275) vol. 263 115584

Funding:

  • Hirose Foundation Grant
  • Google Research Grant

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1016/j.matdes.2026.115584

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Updated at: 2026-02-27 16:30:39 +0900

Published on MDR: 2026-02-27 13:49:39 +0900

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