A scaled boundary finite element method procedure for arch dam-water-foundation rock interaction in complex layered half-space

Li, Zhiyuan; Hu, Zhiqiang; Lin, Gao; Li, Jianbo

doi:10.1016/j.compgeo.2021.104524

Cited by 26 publications

(5 citation statements)

References 27 publications

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“…SBFEM does not require the fundamental solution, and is particularly suitable for handling the problems with stress singularity [3][4][5] and unbounded domains. [6][7][8] SBFEM can also work in an appearance of FEM, [9][10][11][12][13][14] in which the element stiffness matrix is constructed by SBFEM. The singular scaled boundary finite element inherits the advantage of SBFEM to tackle with the stress singularity, 9,10 and the polygon/polyhedron scaled boundary finite elements with arbitrary number of edges/faces and vertices provide convenience to handle irregular geometric shape.…”

Section: Introductionmentioning

confidence: 99%

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A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

Wang

Peng

et al. 2023

Numerical Meth Engineering

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An efficient reduced order algorithm is proposed for the elastic SBFE analysis for 2‐D cyclic symmetric structures with or without a common node. The general stiffness matrices of scaled boundary finite element (SBFE) is proved to be block‐circulant, and can be constructed via the basic region, instead of the whole computing domain. Thus, the expense on eigenvalue analysis required in generating stiffness matrix can be significantly reduced, and the solution scale can be reduced by partitioning the system equation into a series of small independent subproblems. Furthermore, the presented algorithm is combined with the Woodbury formula to reduce the computational cost on the analysis of incomplete cyclically symmetric structures, the original system equation is transformed into the equations with block‐circulant coefficient matrices, which is efficiently solved by partitioning algorithm. Four numerical examples are provided to demonstrate the effectiveness and advantages of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

“…The scaled boundary finite element method (SBFEM) 1,2 originally appeared in BEM form, that is, all unknowns are discretized along the boundary. SBFEM does not require the fundamental solution, and is particularly suitable for handling the problems with stress singularity 3–5 and unbounded domains 6–8 …”

Section: Introductionmentioning

confidence: 99%

A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

Wang

Peng

et al. 2023

Numerical Meth Engineering

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“…The derived equations can be solved in either the time or frequency domain. SBFEM, which was originally developed by Song [32] for dynamic analysis of unbounded domains, has been successfully applied to a wide range of engineering areas such as elastostatics [33,34], inelasticity [35], elastodynamics [36][37][38], fracture mechanics [31,[39][40][41][42], geotechnics [43], fluid mechanics [44], acousto-ultrasonics [25,45,46] and SHM [47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional scaled boundary finite element method to simulate Lamb wave health monitoring of homogeneous structures: Experiment and modelling

et al. 2023

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“…All the possible locations of nodes on a balanced octree cell are indicated in Figure 2b. There are 2 12 = 4096 cell patterns in total [18]. Each octree cell is modelled as a scaled boundary finite element.…”

Section: The Scaled Boundary Finite Element Methodsmentioning

confidence: 99%

“…The scaled boundary finite element method has been developed into a generalpurpose numerical method for the solution of PDE problems [5][6][7][8][9][10][11][12][13][14][15][16][17] over the last few years. This paper aims to present a scaled boundary finite element framework that automates mesh generation and is suitable to high-performance computing.…”

Section: Introductionmentioning

confidence: 99%

Towards Fully-automated High-performance Scaled Boundary Finite Element Analysis

Song,

Zhang,

Kumar

et al.

Proceedings of the Seventeenth International Conference On Civil, Structural and Environmental Engineering Computing

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This paper presents the development of the scaled boundary finite element method to benefit from modern technologies for geometrical modelling and high-performance computing. The scaled boundary finite element method allows the use of arbitrarily shaped star-convex polyhedral elements. The greater flexibility in spatial discretization than standard finite elements facilitates automatic mesh generation. A simple and efficient octree algorithm is developed to mesh geometric models given in common formats such as conventional CAD, STL, digital images, and point clouds. By identifying suitable transformations of the octree cells, a mesh can be deconstructed into a limited number of unique cell patterns. A pattern-by-pattern method for computing matrix-vector products in explicit dynamics and iterative solvers is developed. The operations grouping elements of the same pattern reduce the memory requirement and improve the parallel computation efficiency. Numerical examples of large-scale problems with complex geometries are presented. A significant speedup is observed for these examples with up to 1 billion degrees of freedom and running on up to 16,384 computing cores.

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A scaled boundary finite element method procedure for arch dam-water-foundation rock interaction in complex layered half-space

Cited by 26 publications

References 27 publications

A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

Three-dimensional scaled boundary finite element method to simulate Lamb wave health monitoring of homogeneous structures: Experiment and modelling

Towards Fully-automated High-performance Scaled Boundary Finite Element Analysis

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