Numerical investigation of circle defining curve for two-dimensional problem with general boundaries using the scaled boundary finite element method

2018 ◽  
Vol 13 (1) ◽  
pp. 92-102 ◽  
Author(s):  
Chung Nguyen Van
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Investigation ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Scaled Boundary Finite Element ◽  
Element Method

scholarly journals An effective high-order element for analysis of two-dimensional linear problem using SBFEM

2021 ◽  
Vol 15 (3) ◽  
pp. 109-122
Author(s):  
Nguyen Van Chung ◽  
Nguyen Thanh Him ◽  
Bui Quoc Khiem ◽  
Pham Ngoc Tien
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Linear Problem ◽  
High Order ◽  
Surface Load ◽  
Two Dimensional ◽  
High Order Element ◽  
Scaled Boundary Finite Element ◽  
Element Method

The scaled boundary finite element method (SBFEM) is a semi-analytical method, whose versatility, accuracy, and efficiency are not only equal to, but potentially better than the finite element method and the boundary element method for certain problems. This paper investigates the possibility of using an efficient high-order polynomial element in the SBFEM to form the approximation in the circumferential direction. The governing equations are formulated from the classical linear elasticity theory via the SBFEM technique. The scaled boundary finite element equations are formulated within a general framework integrating the influence of the distributed body source, mixed boundary conditions, contributions the side face with either prescribed surface load or prescribed displacement. The position of scaling center is considered for modeling problem. The proposed method is evaluated by solving two-dimensional linear problem. A selected set of results is reported to demonstrate the accuracy and convergence of the proposed method for solving problems in general boundary conditions.

scholarly journals Scaled Boundary Finite Element Method for Two-Dimensional Linear Multi-Field Media

2017 ◽  
Vol 21 (7) ◽  
pp. 333-360 ◽  
Author(s):  
Chung Nguyen Van ◽  
Jaroon Rungamornrat ◽  
Phoonsak Pheinsusom
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Two Dimensional ◽  
Scaled Boundary Finite Element ◽  
Element Method
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