Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals

DOI10.1016/j.camwa.2022.03.014zbMath1504.65265OpenAlexW4220706795WikidataQ114201480 ScholiaQ114201480MaRDI QIDQ2122647

Guizhong Xie, Yudong Zhong, Hao Li, Hongrui Geng, Rongjie Huang, Liangwen Wang

Publication date: 7 April 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.03.014

zbMATH Keywords

boundary element methodsingular integralscoordinate transformationthin structuresdistance transformation

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals
• A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM
• Analysis of thin piezoelectric solids by the boundary element method
• Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method
• An adaptive element subdivision method for evaluation of weakly singular integrals in 3D BEM
• A new type of high-accuracy BEM and local stress analysis of real beam, plate and shell structures
• Element-subdivision method for evaluation of singular integrals over narrow strip boundary elements of super thin and slender structures
• A serendipity triangular patch for evaluating weakly singular boundary integrals
• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis
• Efficient integration of crack singularities in the extended finite element method: Duffy-distance transformation and conformal preconditioning strategy
• A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation
• Three-dimensional stress analysis of thin structures using a boundary element method with sinh transformation for nearly singular integrals
• The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
• Heritage and early history of the boundary element method
• On an analytical method to solve singular integrals both in space and time for 2-D elastodynamics by TD-BEM
• A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
• Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
• Local boundary integral equations for orthotropic shallow shells
• Efficiency improvement of the polar coordinate transformation for evaluating BEM singular integrals on curved elements
• A semi-analytical algorithm for the evaluation of the nearly singular integrals in three-dimensional boundary element methods
• Variable transformations for nearly singular integrals in the boundary element method
• The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• On the computation of nearly singular integrals in 3D BEM collocation
• A boundary face method for potential problems in three dimensions
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• Analysis of Two-Dimensional Thin Structures (From Micro- to Nano-Scales) Using the Singular Boundary Method
• A sinh transformation for evaluating nearly singular boundary element integrals
• A generalisation of Telles' method for evaluating weakly singular boundary element integrals

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