Memory response on hygrothermal three-phase-lag hollow cylinder due to heat and moisture loading

IF 2.1 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Mechanics of Time-Dependent Materials Pub Date : 2024-12-17 DOI:10.1007/s11043-024-09758-5

Kirti K. Jojare, Kishor R. Gaikwad

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Abstract

The paper is concerned with the impact of memory-dependent (MD) derivatives in the hygrothermal (HTE) three-phase-lag (3PL) hollow cylinder under thermal and moisture loading. We derive equations for temperature, moisture, displacement, and stress components. We solve these HTE field quantity equations using the variable separation method and Laplace transform. We then perform numerical calculations via Laplace transform inversion. We use Mathematica software to understand the hygrothermal behavior of fiber-reinforced 3PHL hollow cylinders. The model validity is assessed by comparing it to existing results. The analysis focuses on the effect of MD derivatives in the HTE 3PL model by examining their impact on heat and moisture field quantities in the presence of time delay parameters and singular kernel functions. This study further highlights the significant influence of employing various kernel functions on the behavior of the HTE hollow cylinder. The author believes that this research will help develop more robust and efficient methods for incorporating memory effects in mathematical models.

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湿热三相滞后空心圆柱体因热量和湿气负载而产生的记忆响应

本文研究了在热湿载荷作用下，记忆相关（MD）衍生物对三相滞后（3PL）湿热（HTE）空心圆柱体的影响。我们推导出温度、湿度、位移和应力分量的方程。我们用变量分离法和拉普拉斯变换求解了这些HTE场量方程。然后通过拉普拉斯变换反演进行数值计算。利用Mathematica软件对纤维增强3PHL中空圆柱体的湿热行为进行了分析。通过与已有结果的比较来评估模型的有效性。分析了MD导数在HTE 3PL模型中的作用，考察了它们在时滞参数和奇异核函数存在下对热湿场量的影响。本研究进一步强调了采用各种核函数对HTE空心圆柱体性能的显著影响。作者认为，这项研究将有助于开发更稳健和有效的方法，将记忆效应纳入数学模型。

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来源期刊

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

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.