Abstract

The generalized thermo-viscoelastic theory without energy dissipation is used in this work to investigate the transfer of bioheat and the mechanical heat-induced response in a human skin plane tissue with variable thermal and rheological properties. Integral transformations are used for Laplace and Fourier. In the scheme of two-dimensional equations, the exponential matrix procedure, which forms the basis of the state-space approach of modern control theory, is applied. The resulting formulation is applied to a thermal shock half-space problem. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions. Comparisons between computational measurements and Penne’s experimental verification indicate that the Green–Naghdi (II) bioheat mathematical model is an effective method for estimating the transition of bioheat to viscoelastic skin tissue. The influences of variable thermal conductivity and volume materials properties on all fields are examined.

摘要

在这项工作中使用没有能量耗散的广义热粘弹性理论来研究具有可变热和流变特性的人体皮肤平面组织中的生物热传递和机械热诱导响应。积分变换用于拉普拉斯和傅里叶。在二维方程的方案中，应用了构成现代控制理论状态空间方法基础的指数矩阵过程。所得公式应用于热冲击半空间问题。傅里叶变换和拉普拉斯变换的反演过程是使用基于傅里叶级数展开的数值方法进行的。计算测量与 Penne 的实验验证之间的比较表明，Green-Naghdi (II) 生物热数学模型是估计生物热向粘弹性皮肤组织转变的有效方法。研究了可变热导率和体积材料特性对所有场的影响。