Three-dimensional isogeometrically enriched finite elements for frictional contact and mixed-mode debonding
Three-dimensional isogeometrically enriched finite elements for frictional contact and mixed-mode debonding
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DOI：
10.1016/j.cma.2014.10.025
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发表时间：
2015-02-01
影响因子：
7.2
通讯作者：
Sauer, Roger A.
中科院分区：
文献类型：
--
作者：
Corbett, Callum J.;Sauer, Roger A.
我们提出了一种适用于摩擦接触和混合模式脱粘的三维有限元计算的等几何富集技术。这是以前的工作，专注于二维和无摩擦问题的延伸。为了提供一个更完整的视图丰富的元素的性能，比较的结果，三元等几何离散和标准拉格朗日元素也包括在这里。通过使用等几何基函数对需要更高精度的表面部分进行离散化来应用富集，而身体的其余部分使用拉格朗日形状函数。通过使用等几何曲面表示，可以利用跨单元边界的更高连续性和更高阶的插值。同时，避免了三维等几何网格的生成，在不考虑曲面效应的情况下，仅涉及体积积分的收敛性研究表明，增广单元同样适用于这类问题.在包括法向和切向牵引力的接触问题中，证明了等几何元素富集比标准三线性元素的主要优点。对于混合模式的粘性脱粘和摩擦接触，丰富的鲁棒性增加，并导致更准确的结果比标准的线性拉格朗日元素。所有的计算也比较使用三变量等几何离散化的结果，给出一个完整的图片元素的性能。它也表明，建议的富集配方在网格生成的优势。(C)2014爱思唯尔有限公司版权所有。
We present an isogeometric enrichment technique for three-dimensional finite element computations applied to frictional contact and mixed-mode debonding. This is an extension of previous work that focused on two-dimensional and frictionless problems. To offer a more complete view of the enriched element's performance, a comparison of the results to tri-variate isogeometric dis-cretizations and standard Lagrangian elements is also included here. The enrichment is applied by discretizing parts of the surface that require higher accuracy with isogeometric basis functions, while the rest of the body uses Lagrangian shape functions. By using an isogeometric surface representation, the higher continuity across element boundaries and higher order of interpolation can be exploited. At the same time, the generation of tri-variate isogeometric meshes is avoided.A convergence study without any surface effects, involving only volume integrals, shows that the enriched elements can also be beneficial for these problems. The major advantage of the isogeometric element enrichment over standard tri-linear elements is demonstrated in contact problems including normal and tangential tractions. For both, mixed-mode cohesive debonding and frictional contact, the enrichment increases robustness and leads to more accurate results than standard linear Lagrangian elements. All computations are also compared to results using tri-variate isogeometric discretizations to give a complete picture of the element's performance. It is also shown that the proposed enrichment formulation has advantages in mesh generation. (C) 2014 Elsevier B.V. All rights reserved.