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| Scaled boundary isogeometric analysis based on non-overlapping Mortar method |
| Received:May 16, 2016 Revised:September 11, 2016 |
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| DOI：10.7511/jslx201704008 |
| KeyWord:scaled boundary isogeometric analysis Mortar method non-uniform rational B-spline non-matching mesh |
| Author | Institution |
| 薛冰寒 |
大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连 |
| 林皋 |
大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连 |
| 胡志强 |
大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连 |
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| 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. |
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