Stress anisotropy regulated wrinkling pattern evolution on a core-shell soft cylinder  

作　　者：Yan Zhao Zhipan Jie Yilong Zhang Guo-Yang Li Yanping Cao Chao Jiang 

机构地区：[1]State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China [2]Department of Mechanics and Engineering Science,College of Engineering,Peking University,Beijing 100871,China [3]Institute of Biomechanics and Medical Engineering,AML,Department of Engineering Mechanics,Tsinghua University,Beijing100084,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2025年第2期132-144,共13页中国科学:物理学、力学、天文学(英文版)

基　　金：the support from the National Natural Science Foundation of China(Grant Nos.12272130,and 11902114);the support from the National Natural Science Foundation of China(Grant No.52235005);the Natural Science Foundation for Excellent Young Scholars of Hunan Province(Grant No.2022JJ20003);the support from“The Fundamental Research Funds for the Central Universities,Peking University”。

摘　　要：Diverse wrinkling patterns can occur on curved bilayer systems under differential growth or expansion.In such systems,stress anisotropy is frequently encountered,and the coupling effect of curvature and stress anisotropy on the pattern evolution remains largely unexplored.In this study,we investigate the evolution of wrinkling patterns on a cylinder core-shell system with stress anisotropy leveraging both theoretical analysis and finite element simulations.Critical buckling analysis has identified three distinct critical buckling modes regulated by the stress anisotropy,i.e.,axial sinusoidal mode,checkerboard mode,and circumferential sinusoidal mode.Our finite element simulations,along with post-buckling analysis,reveal seven distinct evolutionary paths stemming from the three critical buckling modes.We present phase diagrams for both the critical buckling modes and their evolutionary paths,which are determined by dimensionless curvature and stress anisotropy.Our results not only expand the theoretical research on surface wrinkling of a core-shell soft cylinder but also introduce stress anisotropy as a significant parameter for regulating the wrinkling patterns and their evolutionary paths in curved bilayer systems.The revelation of a multitude of wrinkling patterns and their evolutionary pathways holds great potential for advancing applications that leverage tunable wrinkle surfaces.

关 键 词：wrinkling pattern evolutionary path stress anisotropy dimensionless curvature core-shell soft cylinder 

分 类 号：O344.1[理学—固体力学]