Application of Decoupled Scaled Boundary Finite Element Method to Solve Eigenvalue Helmholtz Problems (Research Note)

A novel modification of decouple scaled boundary finite element method in fracture mechanics problems

In fracture mechanics and failure analysis, cracked media energy and consequently stress intensity factors (SIFs) play a crucial and significant role. Based on linear elastic fracture mechanics (LEFM), the SIFs and energy of cracked media may be estimated. This study presents the novel modification of decoupled scaled boundary finite element method (DSBFEM) to model cracked media. In this metho...

Application of Boundary Element Method to 3 D Submerged Structures With Open Ends (RESEARCH NOTE)

This paper presents a three dimensional application of direct Boundary-Element Method (BEM) for computing interaction of sinusoidal waves with a large submerged open bottom structure near the floor with finite depth. The wave diffraction problem is formulated within the framework of linearized potential theory and solved numerically with direct BEM. A computer program based on BEM is developed ...

Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method

This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...

Modified Fixed Grid Finite Element Method to Solve 3D Elasticity Problems of Functionally Graded Materials

In the present paper, applicability of the modified fixed grid finite element method in solution of three dimensional elasticity problems of functionally graded materials is investigated. In the non-boundary-fitted meshes, the elements are not conforming to the domain boundaries and the boundary nodes which are used in the traditional finite element method for the application of boundary condit...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

The scaled boundary finite element method applied to electromagnetic field problems

Computation electromagnetic is an important research field of electromagnetic fields and microwave technology subjects. In this paper, the scaled boundary finite element method (SBFEM) is extended to solve one type of electromagnetic field problems-electrostatic field problems. Based on Laplace equation of electrostatic field, the derivations and solutions of SBFEM equations for both bounded an...