期刊
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
卷 44, 期 5, 页码 391-406出版社
SAGE PUBLICATIONS LTD
DOI: 10.1243/03093247JSA482
关键词
finite element method; non-linear elasticity; basis functions; breast; heart
资金
- EPSRC [EP/D048400/1, EP/D503035/1]
- King Abdullah University of Science and Technology (KAUST) [KUK-CI-013-04]
- Engineering and Physical Sciences Research Council [EP/D048400/1, EP/D503035/1] Funding Source: researchfish
- EPSRC [EP/D048400/1, EP/D503035/1] Funding Source: UKRI
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 LIP the mesh. The effect of these choices oil 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 LIP 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 ill 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 ill general it is important to take the expected regularity of the Solution into account when choosing a numerical scheme.
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