Properties of integral operators and solutions for complex variable boundary integral equation in plane elasticity for multiply connected regions

DOI10.1016/j.enganabound.2014.11.009zbMath1403.74336OpenAlexW2021355226MaRDI QIDQ1654621

Zhong Xian Wang, Yi-Zhou Chen

Publication date: 9 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.2014.11.009

zbMATH Keywords

plane elasticitycomplex variable boundary integral equationdomain field equalitynull field BIEproperties of integral operators and solutions for CVBIE

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Nonlinear constitutive equations for materials with memory (74D10) Boundary element methods for boundary value problems involving PDEs (65N38) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (3)

Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes ⋮ Amended influence matrix method for removal of rigid motion in the interior BVP for plane elasticity ⋮ Numerical test for the Neumann problem of interior BVP of plane elasticity

Cites Work

• Regularity condition and numerical examination for degenerate scale problem of BIE for exterior problem of plane elasticity
• A new kernel in BIE and the exterior boundary value problem in plane elasticity
• The degenerate scale problem for the Laplace equation and plane elasticity in a multiply connected region with an outer circular boundary
• Degenerate scale for multiply connected Laplace problems
• Analysis of \(L\)-integral and theory of the derivative stress field in plane elasticity.
• On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results
• New identities for fundamental solutions and their applications to non-singular boundary element formulations
• Heritage and early history of the boundary element method
• Numerical solutions in three dimensional elastostatics
• An integral equation approach to boundary value problems of classical elastostatics
• Degenerate scale problem when solving Laplace's equation by BEM and its treatment
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