Size‐Effect Stiffening and Densification Strain Regulation Shape Micro Metamaterials for Ultra‐High, Cycle‐Stable Energy Absorption

X Xinran Li Y Yinhua Bao (Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China) T Tianquan Ying (Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China) Z Zeang Zhao (Institute of Advanced Structure Technology Beijing Institute of Technology Beijing China) S Shengyu Duan (Institute of Advanced Structure Technology Beijing Institute of Technology Beijing China) J Jinxing Liu R Rui Zeng (School of Chemistry and Chemical Engineering, Frontiers Science Center for Transformative Molecules, Shanghai Key Lab of Electrical Insulation & Thermal Aging) H Haosen Chen (Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Institute of Advanced Structure Technology, Beijing Institute of Technology 1 , Beijing 100081,) K Kai Wei (State Key Laboratory of Precision and Intelligent Chemistry) T Tienchong Chang (Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China) X Xiaoyan Li D Daining Fang

Abstract

ABSTRACT Thin‐walled metamaterials hold great promise for energy absorption, yet a fundamental conflict persists between high energy absorption and cycle stability in most existing designs, which is the key challenge for applications of these materials. Here, a new kind of energy‐absorbing and cycle‐stable integrated (ECI) microscale metamaterials are presented that overcome this limitation, surpassing conventional thin‐walled metamaterials in compression strength and energy absorption by 1–4 orders of magnitude. Cyclic loading experiments show that the programmable ECI micro metamaterials retain 87% of their energy absorption capacity after multiple cycles. These breakthroughs stem from a novel design methodology that harnesses size‐effect‐induced bending stiffness enhancement together with densification strain regulation. Guided by this approach, the rotatable frames with tunable densification strain and curvature‐optimized micro shells with enhanced bending stiffness were innovatively coupled, leading to a 630% improvement in compressive strength and energy absorption over macroscale equivalents. Dynamic characterization reveals that the optimal ECI micro‐metamaterial significantly outperforms conventional energy‐absorbing materials and lattice structures, specifically exceeding them by an average of 124% in rebound attenuation. This work redefines the performance envelope of thin‐walled metamaterials and provides a new paradigm for designing ultra‐robust protective systems through geometric‐stiffness hybridization.

Article Details

Volume / Issue Vol. 38, Issue 12
Published February 01, 2026
ISSN 0935-9648
Publisher Unknown Publisher

Journal Info

Advanced Materials

Unknown Publisher

ISSN: 0935-9648 Physical Sciences

Authors (12)

X

Xinran Li

Y

Yinhua Bao

Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China

T

Tianquan Ying

Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China

Z

Zeang Zhao

Institute of Advanced Structure Technology Beijing Institute of Technology Beijing China

S

Shengyu Duan

Institute of Advanced Structure Technology Beijing Institute of Technology Beijing China

J

Jinxing Liu

R

Rui Zeng

School of Chemistry and Chemical Engineering, Frontiers Science Center for Transformative Molecules, Shanghai Key Lab of Electrical Insulation & Thermal Aging

H

Haosen Chen

Beijing Key Laboratory of Lightweight Multi-functional Composite Materials and Structures, Institute of Advanced Structure Technology, Beijing Institute of Technology 1 , Beijing 100081,

K

Kai Wei

State Key Laboratory of Precision and Intelligent Chemistry

T

Tienchong Chang

Shanghai Key Laboratory of Mechanics in Energy Engineering Shanghai Institute of Applied Mathematics and Mechanics Shanghai Frontier Science Center of Mechanoinformatics School of Mechanics and Engineering Science Shanghai University Shanghai China

X

Xiaoyan Li

D

Daining Fang