Beyond unit cells: Programmable morphogenetic design of irregular architected materials

H Hailin Deng (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) Q Qingkun Zhao (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) T Taishan Liu (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) Z Zhenghao Zhang (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) Z Zelin Zhu (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) Y Yanqi Zhou (Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University) H Hua-Xin Peng (Zhejiang Key Laboratory of Advanced Composites and Structures, Zhejiang University) W Wei Yang H Huajian Gao H Haofei Zhou

Abstract

Architected materials derive functionality from geometry, yet conventional unit cell–based design limits functional heterogeneity, geometric adaptability, and robustness to defects. Inspired by natural morphogenesis, we introduce RDGenCAD, a morphogenetic design framework that translates programmable growth rules into reaction–diffusion dynamics to generate self-organized, CAD-ready architectures. A database of 120,000 morphogenetic structures reveals statistically deterministic and continuous tunability of elastic properties across auxetic and conventional regimes, despite pronounced geometric irregularity. These architectures further exhibit emergent flaw insensitivity and crack deflection through stress compartmentalization, leading to synergistic gains in strength and toughness relative to regular lattices. By shifting architected material design from unit-cell tessellation to programmable morphogenetic growth, this work establishes self-organization as a generative principle for designing materials that are irregular yet predictable, heterogeneous yet “coherent,” and directly manufacturable.

Article Details

Volume / Issue Vol. 123, Issue 27
Published July 07, 2026
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (10)

H

Hailin Deng

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

Q

Qingkun Zhao

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

T

Taishan Liu

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

Z

Zhenghao Zhang

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

Z

Zelin Zhu

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

Y

Yanqi Zhou

Center for X-Mechanics, Department of Engineering Mechanics, Zhejiang University

H

Hua-Xin Peng

Zhejiang Key Laboratory of Advanced Composites and Structures, Zhejiang University

W

Wei Yang

H

Huajian Gao

H

Haofei Zhou