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Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment
Institution:1. State Key Laboratory for Strength and Vibration of Mechanical Structures, Shaanxi Engineering Research Center of Nondestructive Testing and Structural Integrity Evaluation, School of Aerospace, Xi''an Jiaotong University, Xi''an 710049, China;2. Research School of Electrical, Energy and Materials Engineering, College of Engineering and Computer Science, Australian National University, Acton, ACT 2601, Australia
Abstract:Although viscoelastic properties of biological tissue has been reported in many articles, no effort has been made to investigate the coupled thermal and mechanical behavior of biological tissue based on the viscoelastic theory. This provides us a motivation to study the transient thermoelastic coupling response in the context of generalized thermo-viscoelastic model. The dual phase lag thermo-viscoelastic model is established to capture the micro-scale responses of biological tissue. The governing equations are solved by Laplace transformation. The effects of relaxation times and viscoelastic property on the responses of the tumor and normal tissues are discussed and illustrated graphically. According to the numerical results, we can obtain (1) the viscoelastic parameter has a significant effect on the distributions of displacement and stress; (2) the lagging thermo-viscoelastic responses depend not only on the ratio of τtq, but also on the absolute values of τt and τq.
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