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    A comparison of numerical methods used for finite element modelling of soft tissue deformation

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    Type
    Article
    Authors
    Pathmanathan, P
    Gavaghan, D
    Whiteley, J
    KAUST Grant Number
    KUK-CI-013-04
    Date
    2009-05
    Online Publication Date
    2009-05
    Print Publication Date
    2009-07
    Permanent link to this record
    http://hdl.handle.net/10754/597237
    
    Metadata
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    Abstract
    Soft tissue deformation is often modelled using incompressible non-linear elasticity, with solutions computed using the finite element method. There are a range of options available when using the finite element method, in particular the polynomial degree of the basis functions used for interpolating position and pressure, and the type of element making up the mesh. The effect of these choices on the accuracy of the computed solution is investigated, using a selection of model problems motivated by typical deformations seen in soft tissue modelling. Model problems are set up with discontinuous material properties (as is the case for the breast), steeply changing gradients in the body force (as found in contracting cardiac tissue), and discontinuous first derivatives in the solution at the boundary, caused by a discontinuous applied force (as in the breast during mammography). It was found that the choice of pressure basis functions is vital in the presence of a material interface, higher-order schemes do not perform as well as may be expected when there are sharp gradients, and in general it is important to take the expected regularity of the solution into account when choosing a numerical scheme. © IMechE 2009.
    Citation
    Pathmanathan P, Gavaghan D, Whiteley J (2009) A comparison of numerical methods used for finite element modelling of soft tissue deformation. The Journal of Strain Analysis for Engineering Design 44: 391–406. Available: http://dx.doi.org/10.1243/03093247JSA482.
    Sponsors
    PP is supported through the EPSRC-funded OXMOS project New frontiers in the mathematics of solids (Grant EP/D048400/1). JPW is partially funded by the EPSRC under Grant EP/D503035/1. This publication is based on work supported by Award KUK-CI-013-04, made by King Abdullah University of Science and Technology (KAUST).
    Publisher
    SAGE Publications
    Journal
    The Journal of Strain Analysis for Engineering Design
    DOI
    10.1243/03093247JSA482
    ae974a485f413a2113503eed53cd6c53
    10.1243/03093247JSA482
    Scopus Count
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