Congratulations to Jian Zhou for his paper Critical bistability in variable cross-section metamaterials: PINN-driven transient stress recognition and adaptive energy dissipation has been published by Chemical Engineering Journal!
Publishing Time:2026-03-20



Chemical Engineering Journal 534 (2026) 175093

Keywords: 3D printing,Critical bistability,Variable cross-section,TENGs,PINN


Conventional damping materials face clear limitations in sports protection and rehabilitation. Their mechanical response is fixed and cannot adapt to varying impact intensities, and their lack of real-time monitoring prevents early identification of injury risks. To address these challenges, this study presents a fully printed intelligent shock-absorbing insole. The insole is fabricated using high-resolution 3D printing to construct a variable cross-section critical bistable structure, while all sensing and signal-processing circuits are produced with a circuit printer, enabling seamless integration without traditional wiring. The multilayer bistable architecture provides high energy absorption and rapid structural recovery, ensuring reusability. Distributed triboelectric nano-generators (TENGs) embedded in the printed structure harvest mechanical energy during walking, forming a self-powered sensing system. A physics-informed neural network (PINN) is employed to identify impact force magnitude and location in real time, and a long short-term memory (LSTM) network processes gait sequences for dynamic injury-risk evaluation with an accuracy of 96.67%. Experiments demonstrate that the printed bistable structure achieves over 90% energy absorption efficiency under walking impacts, and the harvested energy is sufficient to drive the sensing module. This work integrates adaptive shock absorption, gait monitoring, and sustainable energy harvesting, offering a new paradigm for next-generation wearable devices in sports protection and rehabilitation medicine.


Jian Zhou,Chengjun Zeng,Wei Zhao,Yanju Liu,Jinsong Leng


Critical bistability in variable cross-section metamaterials PINN-driven transient stress recognition and adaptive energy dissipation.pdf