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Cushioning Performance of Hilbert Fractal Sandwich Packaging Structures under Quasi-Static Compressions

作     者:Xingye Xu Haiyan Song Lijun Wang 

作者机构:College of Light Industry Science and EngineeringTianjin University of Science&TechnologyTianjin300457China Key Laboratory of Food Packaging Materials and Technology of China Light IndustryTianjin300457China 

出 版 物:《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模(英文))

年 卷 期:2023年第135卷第4期

页      面:275-292页

核心收录:

学科分类:07[理学] 0701[理学-数学] 

基  金:supported by the Natural Science Foundation of Tianjin Munici-pality[21YDTPJC00480] the Science and Technology Project of Tianjin[20YDTPJC00830]. 

主  题:Hilbert fractal sandwich structure static compression buffer packaging 

摘      要:The sandwich structure of cushioning packaging has an important influence on the cushioning performance.Mathematical fractal theory is an important graphic expression.Based on Hilbert fractal theory,a new sandwich structure was designed.The generation mechanism and recurrence formula of theHilbert fractal were expressed by Lin’s language,and the second-orderHilbert sandwich structure was constructed fromthermoplastic polyurethane.The constitutive model of the hyperelastic body was established by using the finite element method.With the unit mass energy absorption as the optimization goal,the fractal sandwich structure was optimized,and the best result was obtained when the order was 2.5 and the unit layer thickness was 0.75 mm.TheHilbert sandwich structure was compared with the rice-shaped sandwich structure commonly used in industry,and the Hilbert fractal structure had better energy absorption.This has practical significance for the development and application of newcushioning packaging structures.

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