Constitutive models for impacted morsellised cortico-cancellous bone

A. Phillips, P. Pankaj, F. May, K. Taylor, C. Howie, Asif Sohail Usmani

Research output: Journal article publicationJournal articleAcademic researchpeer-review

26 Citations (Scopus)


Constitutive models are developed, based on the results of confined compression testing, to describe the visco-elastic, and non-linear elasto-plastic behaviour of morsellised cortico-cancellous bone (MCB). It is found that the elastic modulus, E of MCB can be expressed as a linear function of the applied pressure, p. E varied from 3 to 30N/mm2 for pressures up to 1N/mm2. The visco-elastic behaviour of MCB can be described using a fourth-order Prony series. The plastic behaviour of MCB can be described using a Drucker Prager Cap (DPC) yield criterion, in which consolidation behaviour is described using an exponential function. The developed relationships allow MCB to be included in a realistic manner in finite element models, for example of the acetabular construct, following revision hip arthroplasty, carried out using the Slooff-Ling impaction grafting technique. © 2005 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)2162-2170
Number of pages9
Issue number9
Publication statusPublished - 1 Mar 2006
Externally publishedYes


  • Bone graft
  • Constitutive modelling
  • Elasticity
  • Plasticity
  • Viscoelasticity

ASJC Scopus subject areas

  • Bioengineering
  • Ceramics and Composites
  • Biophysics
  • Biomaterials
  • Mechanics of Materials


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