计算力学学报2017，Vol.34Issue(4)：447-452,6.DOI:10.7511/jslx201704008
基于非重叠Mortar方法的比例边界等几何分析
Scaled boundary isogeometric analysis based on non-overlapping Mortar method
摘要
Abstract
In the scaled boundary isogeometric analysis,the discretization will lead to non-matching meshes across the interface.The non-matching meshes bring difficulties to the analysis and calculation.In order to handle these problems,the scaled boundary isogeometric analysis based on non-overlapping Mortar method was proposed.The full domain was decomposed into several sub-domains by this method.Sub-domains were discretized independently,so the meshes across the interface were no need to match point by point.The non-uniform rational B-spline functions with a cross point modification were employed to construct the space of Lagrange multipliers.The continuity condition across the interface was satisfied by applying the Mortar condition.The degrees of freedom were condensed according to the continuity condition of the interface led to a symmetric positive definite matrix.Numerical examples of a U-shape structure and flexible circular footing on a half-space and a patch test are presented.The numerical results validate the efficiency and accuracy of the proposed method.关键词
比例边界等几何分析/Mortar方法/非均匀有理B样条/非匹配网格Key words
scaled boundary isogeometric analysis/Mortar method/non-uniform rational B-spline/non-matching mesh分类
数理科学引用本文复制引用
薛冰寒,林皋,胡志强..基于非重叠Mortar方法的比例边界等几何分析[J].计算力学学报,2017,34(4):447-452,6.基金项目
国家自然科学基金重点项目(51138001)资助项目. （51138001）
