Skip to main content
SpringerLink
Log in

Damping behavior of a particulate composite with interface slip and diffusion under a deviatoric far-field load

  • Original Article
  • Published:
Continuum Mechanics and Thermodynamics Aims and scope Submit manuscript

Abstract

We use the three-phase sphere model or the generalized self-consistent scheme (GSCS) to study the mechanical damping of a particulate composite with concurrent interface slip and diffusion under a time-harmonic deviatoric far-field load. In particular, we determine the specific damping capacity characterizing the effective damping behavior in the particulate composite. Our results indicate that both interface slip and interface diffusion contribute to the specific damping capacity and effective storage shear modulus. Two peaks of the specific damping capacity can appear. The co-existence of interface slip and diffusion will enhance the maximum value of the specific damping capacity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Treviso, A., Genechten, B.V., Mundo, D., Tournour, M.: Damping in composite materials: properties and models. Compos. Part B Eng. 78, 144–152 (2015)

    Article  Google Scholar 

  2. He, L.H., Liu, Y.L.: Damping behavior of fibrous composites with viscous interface under longitudinal shear loads. Comput. Sci. Tech. 65, 855–860 (2005)

    Article  Google Scholar 

  3. Neagu, R.C., Bourban, P.E., Manson, J.A.: Micromechanics and damping properties of composites integrating shear thickening fluids. Comput. Sci. Tech. 69, 515–522 (2009)

    Article  Google Scholar 

  4. Wang, X.: Damping behavior of nano-fibrous composites with viscous interface in anti-plane shear. Z. Angew. Math. Phys. 68(3), 70 (2017)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  5. Wang, X., Wang, C.Y.: Damping of thickly coated fibrous composites with viscous interfaces under longitudinal shear. Acta Mech. 229(5), 2009–2018 (2018)

    Article  MathSciNet  Google Scholar 

  6. He, L.H., Liu, R.H.: Damping of particle-reinforced composites due to interfacial sliding. Acta Mech. Solida Sin. 31, 623–634 (2018)

    Article  Google Scholar 

  7. Sofronis, P., McMeeking, R.M.: The effect of interface diffusion and slip on the creep resistance of particulate composite materials. Mech. Mater. 18, 55–68 (1994)

    Article  Google Scholar 

  8. Kim, K.T., McMeeking, R.M.: Power law creep with interface slip and diffusion in a composite material. Mech. Mater. 20, 153–164 (1995)

    Article  Google Scholar 

  9. Onaka, S., Huang, J.H., Wakashima, K., Mori, T.: Kinetics of stress relaxation caused by the combination of interfacial sliding and diffusion: two-dimensional analysis. Acta Mater. 46, 3821–3828 (1998)

    Article  ADS  Google Scholar 

  10. Onaka, S., Huang, J.H., Wakashima, K., Mori, T.: Stress relaxation caused by the combination of interfacial sliding and diffusion around spherical inclusions. Mech. Mater. 31, 717–727 (1999)

    Article  Google Scholar 

  11. He, L.H.: Transient stress relaxation around spherical inclusions by interfacial diffusion and sliding. Acta Mech. 149(1–4), 115–133 (2001)

    Article  MATH  Google Scholar 

  12. He, L.H., Hu, X.F.: Transient stress relaxation around a spherical inclusion: the role of the combination of interfacial diffusion and sliding. Mater. Chem. Phys. 77, 147–152 (2002)

    Article  Google Scholar 

  13. Wei, Y.J., Bower, A.F., Gao, H.J.: Recoverable creep deformation and transient local stress concentration due to heteregeneous grain-boundary diffusion and sliding in polycrystalline solids. J. Mech. Phys. Solids 56, 1460–1483 (2008)

    Article  MATH  ADS  Google Scholar 

  14. Wang, X., Pan, E.: A circular inhomogeneity with interface slip and diffusion under in-plane deformation. Int. J. Eng. Sci. 48, 1733–1748 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  15. Wang, X., Wang, C.Y., Schiavone, P.: In-plane deformations of a nano-sized circular inhomogeneity with interface slip and diffusion. Int. J. Eng. Sci. 108, 9–15 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  16. Fried, E., Shen, A.Q.: Generalization of the Stefan model to allow for both velocity and temperature jumps. Contin. Mech. Thermodyn. 11(5), 277–296 (1999)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  17. Alber, H.D., Zhu, P.: Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Contin. Mech. Thermodyn. 23(eq2), 139–176 (2010)

    MathSciNet  MATH  ADS  Google Scholar 

  18. Shuvalov, G., Kostyrko, S.: On the role of interfacial elasticity in morphological instability of a heteroepitaxial interface. Contin. Mech. Thermodyn. 33, 2095–2107 (2021)

    Article  MathSciNet  ADS  Google Scholar 

  19. Christensen, R.M., Lo, K.H.: Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27(4), 315–330 (1979)

    Article  MATH  ADS  Google Scholar 

  20. Zemlyanova, A.Y., Mogilevskaya, S.G.: On spherical inhomogeneity with Steigmann-Ogden interface. ASME J. Appl. Mech. 85(12), 121009 (2018)

    Article  ADS  Google Scholar 

  21. Benveniste, Y.: The effective mechanical behavior of composite materials with imperfect contact between the constituents. Mech. Mater. 4, 197–208 (1985)

    Article  Google Scholar 

  22. Hashin, Z.: Thermoelastic properties of particulate composites with imperfect interface. J. Mech. Phys. Solids 39, 745–762 (1991)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by a Discovery Grant from the Natural Sciences and Engineering Research Council of Canada (Grant No.: RGPIN – 2017 - 03716115112).

Author information

Authors and Affiliations

  1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai, 200237, China

    Xu Wang

  2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta, T6G 1H9, Canada

    Peter Schiavone

Authors
  1. Xu Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter Schiavone
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Xu Wang or Peter Schiavone.

Additional information

Communicated by Andreas Öchsner.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Schiavone, P. Damping behavior of a particulate composite with interface slip and diffusion under a deviatoric far-field load. Continuum Mech. Thermodyn. 35, 2043–2052 (2023). https://doi.org/10.1007/s00161-023-01226-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00161-023-01226-8

Keywords

Search

Navigation