Volume 42 Issue 5
May  2021
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DUAN Xiaoyu, MA Yongbin. Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity[J]. Applied Mathematics and Mechanics, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125
Citation: DUAN Xiaoyu, MA Yongbin. Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity[J]. Applied Mathematics and Mechanics, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125

Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity

doi: 10.21656/1000-0887.410125
Funds:  The National Natural Science Foundation of China(11972176)
  • Received Date: 2020-05-06
  • Rev Recd Date: 2020-10-16
  • Publish Date: 2021-05-01
  • Based on the fractional order generalized thermoelastic coupling theory proposed by Sherief et al, the thermoelastic problem of 2D fiber-reinforced elastomers under thermal shock was studied. In view of the effects of gravity on 2D fiber-reinforced linearly thermoelastic isotropic media, the governing equations were established. Through the normal mode analysis and numerical calculation, the governing equations were solved, and the expressions of the dimensionless temperature, the displacement components and the stress under different fractional order parameters and different gravity fields were obtained. The distributions of variables were illustrated and the results were discussed. The results show that, the gravity field and fractional order parameters have significant impacts on the displacements and stresses of the fiber-reinforced media, but the influence on the temperature is limited.
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