Journal of Materials Science

, Volume 46, Issue 18, pp 5977–5990 | Cite as

Density and plastic strain evaluations using small-angle X-ray scattering and finite element simulations for powder compacts of complex shape

  • L. H. Han
  • P. R. LaityEmail author
  • R. E. Cameron
  • J. A. Elliott


Previous work suggested that two-dimensional small-angle X-ray scattering (2D-SAXS) could offer a new method for evaluating the local variations of density, strain and principal strain direction within powder compacts, which arise due to the effects of friction and die shape. In order to test this method further, this work compared results from 2D-SAXS with finite element (FE) simulations using a modified density-dependent Drucker–Prager Cap (DPC) model, for compacts of complex shape, prepared using a cylindrical die, a flat-faced upper punch and shaped lower punches with three different central protrusions. Variations in compaction behaviour were observed, which were due to friction against the die walls and the punch shape. Good agreement was obtained between SAXS measurements and FE simulation, supporting previous indications. Hence, this combination of experimental and computational techniques appeared particularly powerful for investigating powder compaction behaviour, in considerable accuracy and detail. Moreover, observations of the compaction behaviour in the vicinity of the central protrusion may be relevant to tablets with embossed features or compacted artefacts of more complex shape.


Compaction Finite Element Simulation Wall Friction Powder Compaction Compaction Behaviour 



This work was supported by Pfizer Ltd. who also provided access to a compaction simulator with an instrumented die, which was used to obtain the FE parameterisation. The authors are grateful to Yuen Sin Cheong and Craig Bentham, at Pfizer Ltd. Sandwich, UK for their help in performing the compaction simulation experiments.


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • L. H. Han
    • 1
  • P. R. Laity
    • 2
    Email author
  • R. E. Cameron
    • 3
  • J. A. Elliott
    • 3
  1. 1.Department of Computer ScienceUniversity College LondonLondonUK
  2. 2.School of Applied SciencesUniversity of HuddersfieldHuddersfieldUK
  3. 3.Department of Materials Science and MetallurgyUniversity of CambridgeCambridgeUK

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