Thermomechanical Responses of 3D Media Under Moving Heat Sources Based on Fractional-Order Strains

HUANG Fei; MA Yongbin

doi:10.21656/1000-0887.400346

Volume 42 Issue 4

Apr. 2021

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HUANG Fei, MA Yongbin. Thermomechanical Responses of 3D Media Under Moving Heat Sources Based on Fractional-Order Strains[J]. Applied Mathematics and Mechanics, 2021, 42(4): 373-384. doi: 10.21656/1000-0887.400346

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Thermomechanical Responses of 3D Media Under Moving Heat Sources Based on Fractional-Order Strains

doi: 10.21656/1000-0887.400346

School of Science, Lanzhou University of Technology, Lanzhou 730050, P.R.China

Funds: The National Natural Science Foundation of China（12062011；11972176）

Received Date: 2019-11-15
Rev Recd Date: 2020-03-19
Publish Date: 2021-04-01

Abstract

Abstract

Based on the theory of fractional-order strains, the thermomechanical dynamic responses of 3D elastomers under moving heat sources were studied. The governing equations under the theory of fractional-order strains were applied to the 3D semi-space model, and solved by means of the Laplace transform, the double Fourier transform and its numerical reverse transform. The distributions of non-dimensional temperatures, stresses, strains and displacements were obtained under different heating source velocities and different fractional-order parameters. The results show that, the fractional-order strain parameters have significant effects on mechanical waves but minor effects on heat waves, and the heat source velocity has significant effects on thermomechanical waves.
- 3D model,
- Laplace transform,
- Fourier transform,
- fractional-order strain,
- moving heat source

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References(25)

References

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