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A Scaled Boundary Finite-Element Method with B-Differentiable Equations for 3D Frictional Contact Problems
| Content Provider | MDPI |
|---|---|
| Author | Xue, Binghan Du, Xueming Wang, Jing Yu, Xiang |
| Copyright Year | 2022 |
| Description | Contact problems are among the most difficult issues in mathematics and are of crucial practical importance in engineering applications. This paper presents a scaled boundary finite-element method with B-differentiable equations for 3D frictional contact problems with small deformation in elastostatics. Only the boundaries of the contact system are discretized into surface elements by the scaled boundary finite-element method. The dimension of the contact system is reduced by one. The frictional contact conditions are formulated as B-differentiable equations. The B-differentiable Newton method is used to solve the governing equation of 3D frictional contact problems. The convergence of the B-differentiable Newton method is proven by the theory of mathematical programming. The two-block contact problem and the multiblock contact problem verify the effectiveness of the proposed method for 3D frictional contact problems. The arch-dam transverse joint contact problem shows that the proposed method can solve practical engineering problems. Numerical examples show that the proposed method is a feasible and effective solution for frictional contact problems. |
| Starting Page | 133 |
| e-ISSN | 25043110 |
| DOI | 10.3390/fractalfract6030133 |
| Journal | Fractal and Fractional |
| Issue Number | 3 |
| Volume Number | 6 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-02-27 |
| Access Restriction | Open |
| Subject Keyword | Fractal and Fractional Manufacturing Engineering Frictional Contact Scaled Boundary Finite-element Method B-differentiable Equations Boundary Discretization |
| Content Type | Text |
| Resource Type | Article |
