2016
DOI: 10.1016/j.jbiomech.2016.01.024
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Finite element simulation of articular contact mechanics with quadratic tetrahedral elements

Abstract: Although it is easier to generate finite element discretizations with tetrahedral elements, trilinear hexahedral (HEX8) elements are more often used in simulations of articular contact mechanics. This is due to numerical shortcomings of linear tetrahedral (TET4) elements, limited availability of quadratic tetrahedron elements in combination with effective contact algorithms, and the perceived increased computational expense of quadratic finite elements. In this study we implemented both ten-node (TET10) and fi… Show more

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Cited by 42 publications
(20 citation statements)
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“…In addition, they can represent curved boundaries more accurately than linear elements since their edges and faces are curved, reducing the need for fine meshes for representing curved structures. In addition, as reported in a recent publication (76), it turns out that quadratic tetrahedral elements perform similarly and sometimes even better, both in terms of computational cost and in terms of accuracy, than the “gold standard” linear hexahedral element (Figure 7). …”
Section: Second Funding Period (2012–2016)supporting
confidence: 75%
“…In addition, they can represent curved boundaries more accurately than linear elements since their edges and faces are curved, reducing the need for fine meshes for representing curved structures. In addition, as reported in a recent publication (76), it turns out that quadratic tetrahedral elements perform similarly and sometimes even better, both in terms of computational cost and in terms of accuracy, than the “gold standard” linear hexahedral element (Figure 7). …”
Section: Second Funding Period (2012–2016)supporting
confidence: 75%
“…Femur and tibia were defined as rigid bodies following common practice in FEA [27,36]. For the articular cartilage surfaces of tibia and femur, a Mooney–Rivlin model was defined with the following material properties: density = 1.5 × 10 −9 tons/mm 3 ; Mooney–Rivlin material coefficient C 1 = 0.856 MPa (Mega Pascal) Mooney–Rivlin material coefficient C 2 X = 0 MPa; Bulk modulus (K+) = 8 MPa; X = C 2 set to zero to get a Neo Hookean material [34,37].…”
Section: Methodsmentioning
confidence: 99%
“…FEBio uses the FE method to discretize the equations for conservation of mass, linear momentum, and charge. The resulting equations allow fully coupled simulation of solid mechanics, solid-fluid mixtures (9), fluid mechanics (10), fluid-solid interactions, transport (11,12), reaction and diffusion of neutral and charged species (12,13), contact (11,(14)(15)(16)(17), prestrain (18), and growth and remodeling (13). The governing equations are formulated based on mixture theory.…”
Section: Overview Of Febiomentioning
confidence: 99%