浙江大学学报(工学版)  2017, Vol. 51 Issue (10): 1996-2004    DOI: 10.3785/j.issn.1008-973X.2017.10.014
 土木工程、交通工程

1. 大连理工大学 水利工程学院, 辽宁 大连 116024;
2. 大连理工大学 海岸和近海工程国家重点实验室, 辽宁 大连 116024
Novel nonlinear polygon scaled boundary finite element method and its application
CHEN Kai1,2, ZOU De-gao1,2, KONG Xian-jing1,2, LIU Jing-mao1,2
1. School of Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China;
2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
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Abstract:

The scaled boundary finite element method (SBFEM) is extensively applied in elastic structure numerical simulation. However, its application cannot be expanded to nonlinear problem. A novel nonlinear polygon scaled boundary finite element (NPSBFE) was developed by introducing internal Gaussian integration points over a subdomain covered by each line element according to the integral rule of triangular element. The nonlinear shape function was constructed with the introduced points by the semi-analytical solution derived from elastic theory. The Koyna concrete dam was modeled, which was always treated as the classical research object for dynamic damage research of concrete dams. The results accorded well with the one obtained from XFEM simulation and shake table test, which verified the reliability of the accomplished method in nonlinear dynamic analysis. The response of nonlinearity under earthquake for a homogeneous concrete faced rockfill dam with extrusion sidewall was modeled by utilizing the NPSBFE and FEM, respectively. Results accorded well with the conclusion obtained from a dense FEM mesh, which indicated the robustness of NPSBFE for dealing with the material partition in complex geometries. The difficulty in modeling and numbers of elements can be significantly reduced. The NPSBFE provided prominent advantages in dealing with the optimization of material partition and cross-scale subdivision in the domain with a mesh size changing rapidly.

 CLC: TV641

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CHEN Kai, ZOU De-gao, KONG Xian-jing, LIU Jing-mao. Novel nonlinear polygon scaled boundary finite element method and its application. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2017, 51(10): 1996-2004.

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