Fractional thermo-viscoelastic response of biological tissue with variable thermal material properties
Fractional thermo-viscoelastic response of biological tissue with variable thermal material properties
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DOI：
10.1080/01495739.2020.1770643
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发表时间：
2020-06-06
影响因子：
2.8
通讯作者：
Ezzat, Magdy A.
中科院分区：
文献类型：
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作者：
Ezzat, Magdy A.
在本研究中，考虑使用具有可变导热率和体积流变特性的热粘弹性理论的分数模型来研究活体组织中的生物热力学行为。该模型适用于任意厚度且外表面无牵引的癌层问题。癌组织的边界平面承受两种不同类型的热载荷；非高斯激光束和谐波加热。该问题通过基尔霍夫和拉普拉斯变换解析解决。得到拉普拉斯变换域的精确解。给出了温度、位移和应力分布的数值结果并以图形方式说明。研究了时间分数参数和材料特性对各种场行为的影响。
In this study, the fractional model of thermo-viscoelasticity theory with variable thermal conductivity and rheological properties of the volume is considered to investigate bio-thermo-mechanics behavior in living tissue. The model is applied to a problem of cancerous layer with arbitrary thickness and its outer surface traction free. The bounding plane of the cancerous tissue is subjected to two different types of thermal loading; a non-Gaussian laser beam and harmonic heating. The problem is solved analytically by Kirchhoff and Laplace transformation. The exact solution in Laplace's transform domain is obtained. Numerical results for the temperature, displacement, and stress distributions are given and illustrated graphically. The effects of time-fractional parameter and materials properties on the behavior of various fields are examined.