A mortar contact formulation using scaled boundary isogeometric analysis

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2018,（7）
• 页码范围: 87-90
• 页数: 4页
• 语种: 英文

摘要

Contact analysis is recognized as being the most challenging problem in computational mechanics, because the functional system of contact problems is nonlinear and non-smooth and the convergence and accuracy of contact algorithms are difficult to guarantee. In the traditional finite element method (FEM)-based contact analysis [1,2], the contact body is spatially discretized, and the contact boundary is described using a low-order Lagrange interpolation polynomial. While low-order Lagrange interpolation polynomial works well for planar and low-curvature surfaces [3], artificial oscillations in the contact force and numerical difficulties in the nonlinear solution algorithm occur when a large curvature or finite deformation is encountered [2].