Viscoelasticity is a natural property of biological tissue that is often used as a diagnostic parameter of cancer diagnosis. Recently, it was discovered that the fractional calculus accurately describes the experimental effects of viscoelastic materials. In this work, the model of the thermo-viscoelasticity theory of fractional dual-phase-lag heat conduction law with rheological properties of the volume is constructed to investigate one-dimensional bioheat transfer and heat-induced mechanical response in human skin tissue. The model is applied to the one-dimensional problem of the skin tissue layer with an arbitrary thickness. The bounding plane of the skin tissue is subjected to three different types of thermal loading. The method of transforming Laplace was used and the reversal was measured using the Tzuo process. The influences of fractional dual-phase-lag relaxation parameters and rheological properties of the volume on the distributions of temperature, displacement and stress are obtained and illustrated graphically.

粘弹性是生物组织的自然属性，通常用作癌症诊断的诊断参数。最近，人们发现分数阶微积分准确地描述了粘弹性材料的实验效果。在这项工作中，构建了具有体积流变特性的分数双相滞后热传导定律的热粘弹性理论模型，以研究人体皮肤组织中的一维生物传热和热诱导机械响应。该模型应用于任意厚度的皮肤组织层的一维问题。皮肤组织的边界平面受到三种不同类型的热负荷。使用转换拉普拉斯的方法并且使用Tzuo过程测量逆转。