Skip to main content
Log in

A multi-scale computational strategy for structured thin sheets

  • Symposium MS02: Multiscale approaches
  • Published:
International Journal of Material Forming Aims and scope Submit manuscript

Abstract

Engineering trends show an increasing use of multi-layered and structured thin sheets in innovative applications where the layer thickness approaches the microstructural scale. This paper presents a strategy to homogenize the actual three-dimensional heterogeneous sheet towards a shell continuum. Consistent scale transition relations are derived, providing the ability to solve the (generalized) stress-strain fields on both the microstructural and the engineering scale are obtained in a direct and coupled manner.

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

Access this article

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

Instant access to the full article PDF.

References

  1. T. Belytschko, W.K. Liu, and B. Moran. Nonlinear Finite Elements for Continua and Structures. O J. Wiley & Sons, New York, 2000.

    MATH  Google Scholar 

  2. M.G.D. Geers, E.W.C. Coenen, and V.G. Kouznetsova. Multi-scale computational homogenization of structured thin sheets. Model. Simul. Mater. Sci. Engng., 15:S393–S404, 2007.

    Article  Google Scholar 

  3. V.G. Kouznetsova, M.G.D. Geers, and W.A.M. Brekelmans. Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy. Comput. Methods. Appl. Mech. Engrg., 193(48–51):5525–5550, 2004.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. W. C. Coenen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Coenen, E.W.C., Kouznetsova, V.G. & Geers, M.G.D. A multi-scale computational strategy for structured thin sheets. Int J Mater Form 1 (Suppl 1), 61–64 (2008). https://doi.org/10.1007/s12289-008-0044-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12289-008-0044-x

Keywords

Navigation