An Axisymmetric Contact Problem of Piezoelectric Materials Based on the Couple Stress Theory

Lü Xin; KE Liaoliang; SU Jie

doi:10.21656/1000-0887.450190

Volume 45 Issue 10

Oct. 2024

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Lü Xin, KE Liaoliang, SU Jie. An Axisymmetric Contact Problem of Piezoelectric Materials Based on the Couple Stress Theory[J]. Applied Mathematics and Mechanics, 2024, 45(10): 1268-1278. doi: 10.21656/1000-0887.450190

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An Axisymmetric Contact Problem of Piezoelectric Materials Based on the Couple Stress Theory

doi: 10.21656/1000-0887.450190

School of Mechanical Engineering, Tianjin University, Tianjin 300350, P.R.China

Funds:

12021002)

The National Science Foundation of China(12332006

Received Date: 2024-07-01
Rev Recd Date: 2024-08-13

Available Online: 2024-10-31

Publish Date: 2024-10-01

Abstract

Abstract

Based on the couple stress theory, the axisymmetric contact problem between a rigid insulating spherical punch and a transversely isotropic piezoelectric halfspace was studied. With the Hankel integral transform and the integral least squares approach, the analytical solutions of the contact pressure were obtained. The effects of the characteristic material length on the contact pressure distribution, the contact radius and the indentation depth were discussed. The results indicate that, the contact pressure obtained based on the couplestress theory is significantly greater than the classical results.
- axisymmetric contact,
- piezoelectric material,
- size effect,
- couple stress theory

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References(33)

References

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