Skip to main content
SpringerLink
Log in

Poisson’s ratio reduction by geometrical patterns implemented in solid composites

  • Research Letter
  • Published:
MRS Communications Aims and scope Submit manuscript

Abstract

The presented study is focused on the evaluation of Poisson’s ratio and Young’s modulus of solid composite materials with internal architecture represented by planar geometrical patterns. These patterns are characterized by low and high Poisson’s ratios when taken as solid/empty space composites. The mechanical properties are studied theoretically using the finite element method and also experimentally on samples produced by 3D printing from polymeric materials. The results show that tested geometrical patterns are able to decrease Poisson’s ratio when implemented in the solid composite regardless of their performance as solid/empty space composites. A decrease of Poisson’s ratio is more significant compared to the corresponding law of mixtures.

Graphical abstract

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

Figure 1
Figure 2
Figure 3
Figure 4

Similar content being viewed by others

Data availability

Data will be available on request.

References

  1. J.M. Allwood, M.F. Ashby, T.G. Gutowski, E. Worrell, Material efficiency: a white paper. Resour. Conserv. Recycl. 55, 362 (2011)

    Article  Google Scholar 

  2. J.M. Allwood, M.F. Ashby, T.G. Gutowski, E. Worrell, Material efficiency: providing material service with less material production. Phil. Trans. R. Soc. A 371, 1 (2015)

    Google Scholar 

  3. M.F. Ashby, On the engineering properties of materials. Acta Metall. Mater. 37, 1273 (1989)

    Article  CAS  Google Scholar 

  4. MF. Ashby,Materials selection in mechanical design, 2nd ed. Oxford, (1999)

  5. M.F. Ashby, Y.J.M. Brechet, Designing hybrid materials. Acta Mater. 51, 5801 (2003)

    Article  CAS  Google Scholar 

  6. M. Ashby, Designing architectured materials. Scripta Mater. 68, 4 (2013)

    Article  CAS  Google Scholar 

  7. Y. Brechet, J.D. Embury, Architectured materials: expanding materials space. Scripta Mater. 68, 1 (2013)

    Article  CAS  Google Scholar 

  8. N.A. Fleck, V.S. Desphande, M.F. Ashby, Micro-architectured materials: past, present and future. Proc. Royal Soc. A 466, 2495 (2010)

    Article  CAS  Google Scholar 

  9. U.G.K. Wegst, H. Bai, E. Saiz, A.P. Tomsia, R.O. Ritchie, Bioinspired structural materials. Nat. Mater. 14, 23 (2015)

    Article  CAS  Google Scholar 

  10. R.G. Hutchinson, N.A. Fleck, Structural performance of the periodic truss. J. Mech. Phys. Solids 54, 756 (2006)

    Article  Google Scholar 

  11. V.S. Deshpande, M.F. Ashby, N.A. Fleck, Foam topology bending versus stretching dominated architectures. Acta Mater. 49, 1035 (2001)

    Article  CAS  Google Scholar 

  12. W. Yang, Z.M. Li, W. Shi, B.H. Xie, M.B. Yang, Review on auxetic materials. J. Mater. Sci. 39, 3269 (2004)

    Article  CAS  Google Scholar 

  13. G.N. Greaves, A.L. Greer, R.S. Lakes, T. Rouxel, Poisson’s ratio and modern materials. Nat. Mater. 10, 8237 (2011)

    Google Scholar 

  14. J. Dirrenberger, S. Forest, D. Jeulin, Elastoplasticity of auxetic materials. Comput. Mater. Sci. 64, 57 (2012)

    Article  Google Scholar 

  15. Y. Prawoto, Seeing auxtetic materials from the mechanics point of view: a structural review on the negative Poisson’s ratio. Comput. Mater. Sci. 58, 140 (2012)

    Article  CAS  Google Scholar 

  16. J. Zhang, G. Li, Z. You, Large deformation and energy absorption of additively manufactured auxetic materials and structures: a review. Compos. B Eng. 201, 108340 (2020)

    Article  CAS  Google Scholar 

  17. Z. Jia, Y. Yu, L. Wang, Learning from nature: use materials architecture to break the performance tradeoffs. Mater. Des. 168, 107650 (2019)

    Article  Google Scholar 

  18. O. Bouaziz, Geometrically induced strain hardening. Scripta Mater. 68, 8 (2013)

    Article  Google Scholar 

  19. M. Fraser, H. Zurob, P. Wu, O. Bouaziz, Analytical model of the unbending behavior of corrugated reinforcements. Adv. Eng. Mater. 16, 872 (2014)

    Article  Google Scholar 

  20. M. Fraser, H.S. Zurob, P. Wu, Corrugation reinforced composites: a method for filling holes in material-property space. Adv. Eng. Mater. 20, 1700834 (2018)

    Article  Google Scholar 

  21. M. Fraser, H.S. Zurob, P. Wu, Comparing the effect of geometry on the stress-strain response of isolated corrugation structures and corrugation reinforced composite structures. Compos. Struct. 187, 308 (2018)

    Article  Google Scholar 

  22. F. Siska, J. Cizek, H. Seiner, I. Dlouhy, Numerical analysis of geometrically induced hardening in planar architectured materials. Compos. Struct. 233, 111633 (2020)

    Article  Google Scholar 

  23. A. Papyrin, V. Kosarev, S. Klinkov, A. Alkimov, V. Fomin, Cold spray technology (Elsevier, Amsterdam, 2007)

    Google Scholar 

  24. H. Seiner, J. Cizek, P. Sedlak, R. Huang, J. Cupera, I. Dlouhy, M. Landa, Elastic moduli and elastic anisotropy of cold sprayed metallic coatings. Surf. Coat. Technol. 291, 324 (2016)

    Article  Google Scholar 

  25. S. Shukla, B.K. Behera, Auxetic fibrous structures and their composites: A review. Compos. Struct. 290, 1155530 (2022)

    Article  Google Scholar 

  26. J.N. Grima, R. Gatt, A. Alderson, K.E. Evans, On the potential of connected stars as auxetic systems. Mol. Simul. 31, 925 (2005)

    Article  CAS  Google Scholar 

Download references

Acknowledgments

Authors gratefully acknowledge financial support provided by the ESIF, EU Operational Programme Research, Development and Education within the research project "Architectured materials designed for additive manufacturing", Reg. No.: CZ.02.1.01/0.0/0.0/16_025/0007304.

Author information

Authors and Affiliations

  1. Institute of Physics of Materials, Czech Academy of Sciences, Zizkova 22, 61662, Brno, Czech Republic

    Filip Siska, Ludek Stratil, Zdenek Chlup, Helena Kotoulova & Zdenek Machu

Authors
  1. Filip Siska
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ludek Stratil
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zdenek Chlup
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Helena Kotoulova
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zdenek Machu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Filip Siska.

Ethics declarations

Conflict of interest

The authors of this manuscript declare that they have no conflicts of interest with regards to the submitted work.

Additional information

Publisher's Note

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

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 43 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Siska, F., Stratil, L., Chlup, Z. et al. Poisson’s ratio reduction by geometrical patterns implemented in solid composites. MRS Communications 13, 486–491 (2023). https://doi.org/10.1557/s43579-023-00378-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/s43579-023-00378-7

Keywords

Search

Navigation