A modified fractional order generalized bio-thermoelastic theory with temperature-dependent thermal material properties

作者：Li, Xiaoya; Xue, Zhangna; Tian, Xiaogeng^*

来源：International Journal of Thermal Sciences, 2018, 132: 249-256.

DOI：10.1016/j.ijthermalsci.2018.06.007

• Generalized bio-thermoelastic theory
• Fractional calculus
• Variable thermal properties
• Dimensional consistent

In present work, the theory of a modified fractional order generalized bio-thermoelasticity with variable thermal material properties is developed. To keep the dimensions of fractional order thermoelastic theory consistent, a new parameter is first introduced into the generalized fractional order heat conduction equation. One-layered skin tissue with variable thermal properties is used for the numerical evaluation after the accuracy of the modified fractional order bio-thermoelastic model is verified. The effects of fractional order parameter, the added parameter and temperature-dependent thermal properties on the responses of skin tissue are discussed and illustrated graphically.

• 出版日期2018-10
• 单位机械结构强度与振动国家重点实验室; 西安交通大学