当前位置: X-MOL 学术Mech. Time Depend. Mat. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Analysis of a magneto-thermoelastic problem in a piezoelastic medium using the non-local memory-dependent heat conduction theory involving three phase lags
Mechanics of Time-Dependent Materials ( IF 2.5 ) Pub Date : 2021-03-08 , DOI: 10.1007/s11043-021-09487-z
Rakhi Tiwari , Ravi Kumar , Ahmed E. Abouelregal

One of the most important features of the non-local heat conduction theory is that it is able to analyze and investigate the effect of all points of the body on a material point. Studying this non-local phenomenon helps researchers to capture microscopic effects at the macroscopic level with greater accuracy. This paper is devoted to understanding the non-local behavior of a piezoelastic half-space permeated with a magnetic field in the context of three-phase lag heat conduction with a memory-dependent derivative. The current study, which includes the presence of the propagation of thermal waves at limited speeds and non-locality in space and delay in time, has great significance in its application in many different physical fields. A thermal shock has been applied to the non-traction boundary. The problem has been solved by employing the Laplace transform technique. Physical variables such as temperature, displacement as well as stress have been determined in the time-domain by an accurate numerical method. Computational results have been provided to show the influence of effective parameters such as non-local correlation length parameter, kernel functions as well as time delay on the physical variables. By discussing the numerical results that have been graphically represented, significant differences have been seen to be attributable to the studied fields due to the non-locality effect, memory effect and time delay.



中文翻译:

使用涉及三相滞后的非局部记忆相关热传导理论分析压电弹性介质中的磁热弹性问题

非局部导热理论的最重要特征之一是它能够分析和研究人体所有点对物质点的影响。对这种非局部现象的研究有助于研究人员在宏观水平上以更高的精度捕获微观效应。本文致力于了解三相滞后热传导与记忆相关导数的压电弹性半空间的非局部行为。当前的研究包括以有限的速度传播热波,在空间中存在非局部性和时间延迟的情况,对它在许多不同物理领域中的应用具有重要意义。热冲击已应用于非牵引边界。通过使用拉普拉斯变换技术已经解决了该问题。已经通过精确的数值方法在时域中确定了诸如温度,位移和应力之类的物理变量。提供了计算结果以显示有效参数(例如非局部相关长度参数,核函数以及时间延迟)对物理变量的影响。通过讨论以图形方式表示的数值结果,由于非局部效应,记忆效应和时间延迟,已发现归因于所研究的领域存在显着差异。提供了计算结果以显示有效参数(例如非局部相关长度参数,核函数以及时间延迟)对物理变量的影响。通过讨论以图形方式表示的数值结果,由于非局部效应,记忆效应和时间延迟,已发现归因于所研究的领域存在显着差异。提供了计算结果以显示有效参数(例如非局部相关长度参数,核函数以及时间延迟)对物理变量的影响。通过讨论以图形方式表示的数值结果,由于非局部效应,记忆效应和时间延迟,已发现归因于所研究的领域存在显着差异。

更新日期:2021-03-08
down
wechat
bug