Conformable derivative models for linear viscoelastic materials

IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Mechanics of Time-Dependent Materials Pub Date : 2023-10-05 DOI:10.1007/s11043-023-09642-8
Krunal B. Kachhia, Dharti A. Gosai
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Abstract

The article deals with fractional viscoelastic models, including conformable derivatives. The Maxwell model and Zener model involving conformable derivative are studied for relaxation modulus as well as for creep compliance. We obtain some mechanical properties from both models, which is very useful for studying material viscoelasticity. Interesting results are extracted and compared to experimental data.

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线性粘弹性材料的可变形导数模型
文章涉及分数粘弹性模型,包括保形导数。文章研究了麦克斯韦模型和涉及保形导数的齐纳模型的松弛模量和蠕变顺应性。我们从这两个模型中获得了一些力学特性,这对研究材料的粘弹性非常有用。我们提取了有趣的结果,并与实验数据进行了比较。
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来源期刊
Mechanics of Time-Dependent Materials
Mechanics of Time-Dependent Materials 工程技术-材料科学:表征与测试
CiteScore
4.90
自引率
8.00%
发文量
47
审稿时长
>12 weeks
期刊介绍: Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
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