Abstract
Although there have been numerous reports in several articles about the viscoelastic properties of biological tissues, no effort has been made to investigate the combined thermal and mechanical behavior of the viscoelastic tissue. At present, the 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 within the context of the Lord-Shulman theory. The model is applied to a limited thickness, cancerous layer problem. The problem was solved analytically in the transformed domain using Laplace transform as a tool. The exact solution is obtained in the context of transformation Laplace. Numerical results are given and illustrated graphically for the distributions of temperature, displacement, and stress. Some correlations are produced with the results obtained for the absence of the thermal relaxation parameter. The effects of variable thermal and volume materials properties, blood perfusion rate on the behavior of various fields are examined.
[Display omitted]
•The coupled thermal and mechanical behavior of biological tissue based on the viscoelastic theory with volume properties are constructed. .•The thermal conductivity is taken as a function of temperature.•The problem of thermo-viscoelastic layer tumor is considered.•Numerical study on thermal therapy of viscoelastic tissue using bioheat model.•The influence of the thermal conductivity parameter on all the regarded fields is examined.•The relaxation effects of the volume are investigated.