Phillips A, Pankaj P, May F, Taylor K, Howie C, Usmani A. Constitutive models for impacted morsellised cortico-cancellous bone.
Biomaterials 2005;
27:2162-70. [PMID:
16309740 DOI:
10.1016/j.biomaterials.2005.10.034]
[Citation(s) in RCA: 22] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2005] [Accepted: 10/29/2005] [Indexed: 11/25/2022]
Abstract
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/mm(2) for pressures up to 1N/mm(2). 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.
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