The viscoelastic stress wave propagation model based on fractional derivative constitutive

IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL
Zhixin Shi , Jianqiu Zhou , Di Song , Jiaxin Cui , Ming Yuan , Changqing Miao
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引用次数: 0

Abstract

The study of stress wave propagation in viscoelastic bars is important for the dynamic mechanical property testing of low-impedance materials. For the propagation of stress waves in viscoelastic bars, it is significant to consider the lateral inertia effects and viscous effects on wave propagation. This paper establishes a viscoelastic stress wave propagation model based on fractional derivative constitutive. The analytical solution of the viscoelastic wave equation based on the fractional derivative constitutive model is obtained. The model employs fractional derivative viscoelastic constitutive relations instead of traditional standard mechanical viscoelastic models and is capable of describing the lateral inertia effects and viscoelastic effects on stress wave propagation. While the Poisson's ratio is zero, the model simplifies to a viscoelastic stress wave propagation model that does not account for lateral inertia effects. In this paper, the material parameters of polymethylmethacrylate (PMMA) are obtained by Dynamic Mechanical Analysis (DMA) test, and the attenuation coefficient and phase velocity change with frequency are calculated by this model.
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来源期刊
International Journal of Impact Engineering
International Journal of Impact Engineering 工程技术-工程:机械
CiteScore
8.70
自引率
13.70%
发文量
241
审稿时长
52 days
期刊介绍: The International Journal of Impact Engineering, established in 1983 publishes original research findings related to the response of structures, components and materials subjected to impact, blast and high-rate loading. Areas relevant to the journal encompass the following general topics and those associated with them: -Behaviour and failure of structures and materials under impact and blast loading -Systems for protection and absorption of impact and blast loading -Terminal ballistics -Dynamic behaviour and failure of materials including plasticity and fracture -Stress waves -Structural crashworthiness -High-rate mechanical and forming processes -Impact, blast and high-rate loading/measurement techniques and their applications
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