Expanding element interpolation method for analysis of thin-walled structures

DOI10.1016/j.enganabound.2017.10.014zbMath1403.65242OpenAlexW2767523570MaRDI QIDQ1656350

Jianming Zhang, Yunqiao Dong, Weicheng Lin, Yudong Zhong

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.10.014

zbMATH Keywords

boundary element methodthin-walled structuresnearly singular integralsexpanding element interpolation method

Mathematics Subject Classification ID

Thin films (74K35) Boundary element methods for boundary value problems involving PDEs (65N38)

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Uses Software

• neBEM

Cites Work

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• A study of three-dimensional edge and corner problems using the nebem solver
• A general algorithm for the numerical evaluation of nearly singular integrals on 3D boundary element
• Analysis of two-dimensional thin structures (from micro- to nano-scales) using 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
• New variable transformations for evaluating nearly singular integrals in 2D boundary element method
• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• Heritage and early history of the boundary element method
• Calculation of Nearly Singular Boundary ElementIntegrals in Thin Structures Using an ImprovedExponential Transformation
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• A boundary face method for potential problems in three dimensions
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification