NURBS-enriched contact finite elements
NURBS-enriched contact finite elements
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DOI：
10.1016/j.cma.2014.02.019
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发表时间：
2014-06-15
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.
提出了一种基于等几何分析的接触计算有限元的新颖丰富方法。每个主体分为两部分：丰富的接触表面和包含不接触表面的体域。后一部分包含域的大部分，并使用标准线性基函数以通常的方式进行处理，从而保留了经典有限元技术的效率。使用至少二阶的 NURBS 基函数对丰富的接触表面进行离散化，从而实现局部可微的表面表示。这避免了接触表面上单元边界之间法向量突然改变的问题。遵循等几何分析的概念，光滑基函数不仅用于描述表面几何形状，而且还用于逼近表面上的解。这使得接触积分评估的准确性更高。给出了 2D 和 3D 接触计算的数值结果，包括无摩擦滑动、粘合剂剥离和内聚脱粘。与标准线性有限元相比，所提出的接触单元丰富化在数值精度和稳定性方面表现出显着的增益，而不会损失效率。与 Hermite 和高阶拉格朗日接触单元富集技术相比，该富集技术具有一些优势，例如 3D 中的局部可微表面表示，同时具有具有竞争力的精度和性能。 (C) 2014 Elsevier B.V. 保留所有权利。
A novel enrichment of finite elements for contact computations based on isogeometric analysis is presented. Each body is divided into two parts, an enriched contact surface and the bulk domain together with surfaces that are not in contact. The latter part comprises the large majority of the domain and is treated in the usual manner with standard linear basis function, preserving the efficiency of classical finite element techniques. The enriched contact surface is discretized using NURBS basis functions of at least second order, allowing for a locally differentiable surface representation. This avoids the problem of suddenly changing normal vectors between element boundaries on the contact surface. Following the concept of isogeometric analysis, the smooth basis functions are not only used to describe the surface geometry, but also to approximate the solution on the surface. This leads to higher accuracy in the contact integral evaluation.Numerical results are presented for 2D and 3D contact computations including frictionless sliding, adhesive peeling, and cohesive debonding. The presented contact element enrichment exhibits a major gain in numerical accuracy and stability without loss of efficiency compared to standard linear finite elements. The enrichment technique offers some advantages over Hermite and higher-order Lagrangian contact element enrichment techniques, such as locally differentiable surface representations in 3D, while featuring competitive accuracy and performance. (C) 2014 Elsevier B.V. All rights reserved.