The high-order completeness analysis of the scaled boundary finite element method

被引：8
|
作者：
Jia, Yan-Mei [1 ]
Li, Chong-Jun [1 ]
Zhang, Ying [1 ]
Chen, Juan [2 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Dongbei Univ Finance & Econ, Sch Math, Dalian 116025, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2020年 / 362卷
基金：
中国国家自然科学基金;
关键词：
High-order completeness; Higher order accuracy; Scaled boundary finite element; Finite element; Bubble functions; Semi-analytical; STRESS INTENSITY FACTORS; SENSITIVITY-ANALYSIS; ARBITRARY POLYGONS; CRACKS; INTERFACE;
D O I：
10.1016/j.cma.2020.112867
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The scaled boundary finite element method (SBFEM) is a novel semi-analytical approach. The high-order completeness analysis is an important and necessary part of the basic theory of the SBFEM. Different from the standard FEM, the shape functions are constructed by the computation of the SBFEM. Thus, the key is to show that the polynomials bases can be always obtained independently of the shape of the S-elements. This paper presents the theoretical analysis of the high-order completeness of the SBFEM in mathematics for two- and three-dimensional problems, including the curved boundary elements. Moreover, in the completeness analysis, we also make up some theoretical problems and give the necessary proofs in the solving procedure of the SBFEM. Some numerical patch tests verify the theoretical results. (C) 2020 Elsevier B.V. All rights reserved.
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页数：34
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