An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

Ya, Shukai; Eisenträger, Sascha; Song, Chongmin; Li, Jianbo

doi:10.1016/j.cma.2021.113766

Cited by 24 publications

(5 citation statements)

References 62 publications

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“…where B 1 and B 2 are strain-displacements matrices [55], C is the stiffness matrix, ρ is the mass density, |J b | denotes the determinant of the Jacobian matrix of transformation from the Cartesian to the scaled boundary coordinates calculated on the boundary (ξ = 1), S denotes surface elements forming up an S-element, and ∑ e stands for the standard FEM assembly procedure. By defining the dynamic stiffness matrix S(ω, ξ) which relates the internal nodal force q(ξ) and nodal displacement u(ξ) as follows:…”

Section: D Sbfem Summary For Elastodynamic Problemsmentioning

confidence: 99%

“…Recently, the development of polygon [51] and polyhedral Scaled boundary elements (Selements) [52] for two and three dimensional SBFEM has enabled automatic mesh generation via quadtree [52] and octree [53] procedures. Furthermore, it is also possible to convert finite elements generated by any conventional FE mesh generator software package to S-elements [54,55]. The method handles automatic domain discretization and allows for the treatment of problems with complex geometries without the need for manual intervention.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: D Sbfem Summary For Elastodynamic Problemsmentioning

confidence: 99%

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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“…Yang et al [35] developed UEL subroutines for steady-state and transient heat conduction analysis using the PSBFEM. Ya et al [36] implemented an open-source polyhedral SBFEM element for three-dimensional and nonlinear problems through the Abaqus UEL. Yang et al [37] implemented the SBFEM in Abaqus in linear elastic stress analyses.…”

Section: Geofluidsmentioning

confidence: 99%

A Novel Solution for Seepage Problems Implemented in the Abaqus UEL Based on the Polygonal Scaled Boundary Finite Element Method

et al. 2022

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The scaled boundary finite element method (SBFEM) is a semianalytical computational scheme based on the characteristics of the finite element method (FEM) and boundary element method that combines their respective advantages. In this paper, the SBFEM and polygonal mesh technique are integrated into a new approach to solve steady-state and transient seepage problems. The proposed method is implemented in Abaqus employing a user-defined element (UEL). A detailed implementation of the procedure is presented in which the UEL element is defined, the internal variables RHS and AMATRX are updated, and the stiffness/mass matrix is solved using eigenvalue decomposition. Several benchmark problems are solved to verify the proposed implementation. The results show that the polygonal element of the polygonal SBFEM (PSBFEM) is more accurate than the standard FEM element of the same element size. For transient problems, the results for the PSBFEM and FEM are in excellent agreement. Hence, the proposed method is robust and accurate for solving steady-state and transient seepage problems. The developed UEL source code and the associated input files can be downloaded from GitHub.

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“…So, the movement of the three-section cudgel should be analyzed dynamically. In the analysis of rigid body motion, ABAQUS software is usually used to simulate the dynamic changes of objects, because ABAQUS software can more truly reflect the motion of objects, force conditions and some complex contact problems in the process of dynamic rigid body simulation [18]. Therefore, ABAQUS software is used to simulate the movement track of the three-section cudgel in the process of throwing the cudgel, thus further verifying whether it is feasible to study the force situation of the three-section cudgel by using the basic principle of dynamics.…”

Section: Abaqus Simulation Analysis Of Three-section Cudgelsmentioning

confidence: 99%

Dynamic Analysis of the Complex Motion of Three-Section Cudgel in Wushu Sports

Mei-ling

Jiang

et al. 2021

Applied Sciences

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Purpose: To provide some suggestions on how to effectively master these movements during training. Methods: The dynamics method and ABAQUS simulation analysis were used to analyze the two technical movements of the three-section cudgels: wrestling cudgels and retrieving cudgels. Results: In the process of wrestling the cudgel, the best effect is achieved when the height of the cudgel holding hand is between 70 cm and 80 cm from the ground. The maximum height of the rebound was very similar with different initial angular velocities, at 4.5–9 cm. The initial angular velocities caused significant impact to the horizontal movement of cudgel at 8 s. By excluding the errors, the horizontal movement of cudgel increased approximately linearly with the increase of the initial angular velocity. Conclusions: When the height between held cudgel and the ground was controlled at 1.5 times the height of the middle section, the rebound of the tail section was the least. When completing the movement of three-section cudgel, the cudgel body should be in the same plane perpendicular to the ground and to better retrieve the three-section cudgel. The main factor affecting the cudgel wrestling was the height between the cudgel holder and the ground.

show abstract

An open-source ABAQUS implementation of the scaled boundary finite element method to study interfacial problems using polyhedral meshes

Cited by 24 publications

References 62 publications

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

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

A Novel Solution for Seepage Problems Implemented in the Abaqus UEL Based on the Polygonal Scaled Boundary Finite Element Method

Dynamic Analysis of the Complex Motion of Three-Section Cudgel in Wushu Sports

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