On the Somigliana stress identity in elasticity

DOI10.1007/BF00370069zbMath0763.73061MaRDI QIDQ1202396

T. A. Cruse, Wan Suwito

Publication date: 11 February 1993

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

integral equationsintegral termsthree dimensional elasticityweakly-singular form

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Boundary element methods applied to problems in solid mechanics (74S15)

Related Items (14)

BIE fracture mechanics analysis: 25 years of developments ⋮ NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY ⋮ Hypersingular boundary integral equations have an additional free term ⋮ On the free terms of the dual BIE for \(N\)-dimensional Laplace problems ⋮ An approach based on generalized functions to regularize divergent integrals ⋮ A three-dimensional, \(p\)-version BEM: high-order refinement leveraged through regularization ⋮ Approximate formulation of the hypersingular boundary integral equation in potential theory ⋮ Analyzing irreversibilities in Stokes flows containing suspended particles using the traction boundary integral equation method ⋮ Regularized spectral multipole BEM for plane elasticity ⋮ A multi-variable non-singular BEM in 2D elasticity ⋮ A new form of the hypersingular boundary integral equation for 3-D acoustics and its implementation with \(C^0\) boundary elements ⋮ On the simple-solution method and non-singular nature of the BIE/BEM -- a review and some new results ⋮ Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM ⋮ Shape design sensitivity analysis in elasticity using the boundary element method

Cites Work

• Unnamed Item
• On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity
• Traction BIE solutions for flat cracks
• Numerical solutions in three dimensional elastostatics
• Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Hypersingular integrals in boundary element fracture analysis

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