Search Results - Boundary element methods applied to problems in solid mechanics

Band structures analysis of fluid–solid phononic crystals using wavelet‐based boundary element method and frequency‐independent fundamental solutions: Band structures analysis of fluid-solid phononic crystals using wavelet-based boundary element method and frequency-independent fundamental solutions

Authors: Qi Wei Jiawei Xiang Weiping Zhu et al.

Source: International Journal for Numerical Methods in Engineering. 124:4603-4633

Subject Terms: domain integral, integral equation, B-spline wavelet, matrix compression, Bloch theorem, Numerical methods for wavelets, 0103 physical sciences, 0101 mathematics, Crystalline structure, radial integration method, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, dual reciprocity method

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Comparative study on domain decomposition methods for solving multi-domain potential problems by DiBFM

Authors: Rongxiong Xiao Jianming Zhang Yang Yang et al.

Source: Engineering Analysis with Boundary Elements. 162:157-171

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, non-overlapping domain decomposition methods, multi-domain problems, DiBFM, Boundary element methods for boundary value problems involving PDEs, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7855339
https://doi.org/10.1016/j.enganabound.2024.01.011

A highly accurate indirect boundary integral equation solution for three dimensional elastic scattering problem

Authors: Sun, Yao Wang, Yating

Source: Engineering Analysis with Boundary Elements. 159:402-417

Subject Terms: Wave scattering in solid mechanics, method of fundamental solutions, collocation method, boundary integral equation, Boundary element methods for boundary value problems involving PDEs, elastic wave scattering, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7855281
https://doi.org/10.1016/j.enganabound.2023.12.015

B-spline wavelet boundary element method for three-dimensional problems

Authors: Qi Wei Jiawei Xiang

Source: Acta Mechanica. 232:3233-3257

Subject Terms: ring domain, singular integration, 0203 mechanical engineering, Classical linear elasticity, linear elasticity, scaling function, potential problem: spherical domain: cube domain, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Numerical computation using splines, Gauss quadrature scheme

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Access URL: https://link.springer.com/article/10.1007/s00707-021-03009-1

Improved hole and tube elements in BEM for elasticity problems

Authors: Zheng, Yong-Tong Liu, Yijun Gao, Xiao-Wei et al.

Source: Engineering Analysis with Boundary Elements. 159:17-35

Subject Terms: Elastic materials, iso-parametric closure elements, Boundary element methods for boundary value problems involving PDEs, stress concentration, hole elements, Boundary element methods applied to problems in solid mechanics, boundary element method

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Access URL: https://zbmath.org/7855253
https://doi.org/10.1016/j.enganabound.2023.11.021

A data-driven multi-flaw detection strategy based on deep learning and boundary element method

Authors: Sun, Jia Liu, Yinghua Yao, Zhenhan et al.

Source: Computational Mechanics. 71:517-542

Subject Terms: Inverse problems in equilibrium solid mechanics, non-uniqueness, block LU decomposition method, Learning and adaptive systems in artificial intelligence, 0211 other engineering and technologies, non-destructive testing, convolutional neural network, 02 engineering and technology, 01 natural sciences, Numerical and other methods in solid mechanics, inverse problem, 0101 mathematics, elliptic flaw detection, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7686705
https://doi.org/10.1007/s00466-022-02231-5

Wavelet-based dual reciprocity BEM for band-structure calculations of 3D fluid/fluid and solid/solid phononic crystals

Authors: Qi Wei Jiawei Xiang Weiping Zhu et al.

Source: Engineering Analysis with Boundary Elements. 162:172-183

Subject Terms: sparse matrix, B-spline wavelet on interval, truncation threshold, Boundary element methods applied to problems in fluid mechanics, Numerical methods for wavelets, Boundary element methods for boundary value problems involving PDEs, band-structure, phononic crystals, dual reciprocity boundary element method, Boundary element methods applied to problems in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

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Access URL: https://zbmath.org/7855340
https://doi.org/10.1016/j.enganabound.2024.02.008

Band structure analysis of two-dimensional photonic crystals using the wavelet-based boundary element method

Authors: Qi Wei Jiawei Xiang Xingfu Ma

Source: Engineering Analysis with Boundary Elements. 134:1-10

Subject Terms: \(B\)-spline wavelet on the interval, singular integral, band structure, 0103 physical sciences, wavelet-based boundary element method, Boundary element methods for boundary value problems involving PDEs, Crystalline structure, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Boundary element methods applied to problems in optics and electromagnetic theory, photonic crystal

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Access URL: https://zbmath.org/7439995
https://doi.org/10.1016/j.enganabound.2021.09.025
https://www.sciencedirect.com/science/article/pii/S0955799721002733

Band structure calculations of three-dimensional solid-fluid coupling phononic crystals using dual reciprocity boundary element method and wavelet compression method

Authors: Qi Wei Jiawei Xiang Weiping Zhu et al.

Source: Computer Physics Communications. 299:109165

Subject Terms: sparse matrix, Wave scattering in solid mechanics, B-spline interval wavelet, integral equation, Numerical and other methods in solid mechanics, generalized linear eigenvalue equation, cubic lattice scatterer, Crystalline structure, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7839801
https://doi.org/10.1016/j.cpc.2024.109165

On optimal radius of sub-domains in meshless LBIE method

Authors: Hossein Hosseinzadeh Ahmad Shirzadi

Source: Mathematics and Computers in Simulation. 213:145-160

Subject Terms: meshless methods, local weak formulation, Boundary element methods applied to problems in fluid mechanics, local boundary integral equations (LBIE), Lebesgue constant, radial basis functions, Boundary element methods for boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, Boundary element methods applied to problems in solid mechanics

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The boundary element method applied to time dependent problems in anisotropic materials: The boundary element method applied to time-dependent problems in anisotropic materials.

Authors: Eudenilson L. Albuquerque Paulo Sollero M.H. Aliabadi

Source: International Journal of Solids and Structures. 39:1405-1422

Subject Terms: quarter point elements, dynamic stress intensity factors, Anelastic fracture and damage, anisotropic plates, 02 engineering and technology, 01 natural sciences, 0203 mechanical engineering, Anisotropy in solid mechanics, multi-domain boundary element formulation, cracks, 0101 mathematics, Plates, Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics, Boundary element methods applied to problems in solid mechanics, dual reciprocity method

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Access URL: https://www.sciencedirect.com/science/article/pii/S0020768301001731

Development of ABAQUS UEL/VUEL subroutines for scaled boundary finite element method for general static and dynamic stress analyses

Authors: Z.J. Yang F. Yao Y.J. Huang

Source: Engineering Analysis with Boundary Elements. 114:58-73

Subject Terms: semi-analytical, 0211 other engineering and technologies, concrete, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, heterogeneity, 0101 mathematics, Stress, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, scaled boundary finite element method, Abaqus UEL/VUEL

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Access URL: https://zbmath.org/7214835
https://doi.org/10.1016/j.enganabound.2020.02.004
https://www.sciencedirect.com/science/article/pii/S0955799720300424

Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: A comparative study: Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: a comparative study

Authors: Cong Gao Jiawei Xu Fuzhen Pang et al.

Source: Engineering Analysis with Boundary Elements. 162:239-257

Subject Terms: Finite difference methods applied to problems in solid mechanics, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, experiment, Finite difference methods for initial value and initial-boundary value problems involving PDEs, impact loading, narrow band random loading, ring stiffened cylindrical shell, Boundary element methods applied to problems in solid mechanics, vibro-acoustic response, boundary element method

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A new approach for the Modified Local Green's Function Method applied to solid mechanics problems.

Authors: Corrêa, Ramon Macedo Arndt, Marcos Machado, Roberto Dalledone

Source: Engineering Analysis with Boundary Elements. Oct2023, Vol. 155, p907-919. 13p.

Subject Terms: *GREEN'S functions, *APPLIED mechanics, *BOUNDARY element methods, *FINITE element method, *SOLID mechanics

Generalized Kelvin solution based boundary element method for crack problems in multilayered solids: Generalized Kelvin solution based boundary element method for crack problems in multilayered solids.

Authors: Xiao, HT Yue, ZQ

Source: Engineering Analysis with Boundary Elements. 26:691-705

Subject Terms: Stress intensity factors, 02 engineering and technology, interface crack, 01 natural sciences, Interface crack, Multilayered elastic solid, 0203 mechanical engineering, Fracture mechanics, Boundary element method, stress intensity factors, Composite and mixture properties, 0101 mathematics, Generalized Kelvin solution, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/1906393
https://doi.org/10.1016/s0955-7997(02)00038-3
http://hub.hku.hk/handle/10722/71285
http://www.sciencedirect.com/science/article/pii/S0955799702000383
https://www.sciencedirect.com/science/article/pii/S0955799702000383
http://hdl.handle.net/10722/71285

WBEM-based analysis of band structures of solid-solid and fluid-fluid phononic crystals with frequency-independent fundamental solutions

Authors: Wei, Qi Xiang, Jiawei Zhu, Weiping et al.

Source: Engineering Analysis with Boundary Elements. 151:439-456

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, domain integral, matrix compression, band structure, Numerical methods for wavelets, wavelet-based boundary element method, Numerical methods for low-rank matrix approximation, B-spline wavelet on the interval, phononic crystals, Boundary element methods applied to problems in solid mechanics

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Three dimensional modified BEM analysis of forward scattering problems in elastic solids

Authors: Bin Wang Chen Yang Zhenghua Qian

Source: Engineering Analysis with Boundary Elements. 122:145-154

Subject Terms: Wave scattering in solid mechanics, 0203 mechanical engineering, infinite boundary, 0103 physical sciences, Boundary element methods for boundary value problems involving PDEs, three-dimensional modified BEM, 02 engineering and technology, forward scattering, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, guided wave

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0955799720302691

A 2D RVE formulation by the boundary element method considering phase debonding

Authors: Jordana F. Vieira Gabriela Fernandes Maria Júlia Marques Silva et al.

Source: Engineering Analysis with Boundary Elements. 104:259-276

Subject Terms: boundary elements, zoned plates, cohesive fracture, 0203 mechanical engineering, plasticity, homogenization techniques, Boundary element methods for boundary value problems involving PDEs, 02 engineering and technology, 0101 mathematics, RVE, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, Displacive transformations in solids

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799718304521

Stochastic boundary‐element methods applied to 3D elastic problems and reliability of structural strength: Stochastic boundary-element methods applied to 3D elastic problems and reliability of structural strength

Authors: Wen Wei-dong

Source: Communications in Numerical Methods in Engineering. 10:583-589

Subject Terms: random variables, integral equations, Gauss distribution, 0209 industrial biotechnology, 0203 mechanical engineering, Fracture and damage, 02 engineering and technology, Other numerical methods in solid mechanics, Thin bodies, structures, Boundary element methods applied to problems in solid mechanics

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Access URL: http://onlinelibrary.wiley.com/doi/10.1002/cnm.1640100802/abstract

A boundary weak singularity elimination method for multilayer structures

Authors: Shuguang Wang Hou Junjian Wenbin He et al.

Source: Engineering Analysis with Boundary Elements. 130:69-78

Subject Terms: sinh transformation, 0203 mechanical engineering, Structured surfaces and interfaces, coexistent phases, coordinate transformation, Boundary element methods for boundary value problems involving PDEs, singular integrals, 02 engineering and technology, 0101 mathematics, multilayer structures, 01 natural sciences, Boundary element methods applied to problems in solid mechanics, boundary element method

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799721001405