Direct evaluation of boundary stresses in the 3D BEM of elastostatics

DOI<505::AID-CNM164>3.0.CO;2-S 10.1002/(SICI)1099-0887(199806)14:6<505::AID-CNM164>3.0.CO;2-SzbMath0907.73076OpenAlexW2089680841MaRDI QIDQ4213702

A. J. Wilde, Mohammad Hossien Aliabadi

Publication date: 2 March 1999

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199806)14:6<505::aid-cnm164>3.0.co;2-s

zbMATH Keywords

edgescontinuity conditionscontinuous elementsinterpolation functioncornersseries expansionshypersingular integralssingularity subtraction methodstatic boundary integral equation

Mathematics Subject Classification ID

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

Related Items (11)

Regularization of hypersingular boundary integral equations: a new approach for axisymmetric elasticity. ⋮ Boundary Condition Related Mixed Boundary Element and its Application in FMBEM for 3D Elastostatic Problem ⋮ Probabilistic fracture mechanics by the boundary element method ⋮ The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems ⋮ Error estimation using hypersingular integrals in boundary element methods for linear elasticity. ⋮ The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems. ⋮ Boundary contour analysis for surface stress recovery in 2-D elasticity and Stokes flow ⋮ Post buckling analysis of shear deformable shallow shells by the boundary element method ⋮ Numerical approximation strategy for solutions and their derivatives for two-dimensional solids ⋮ Finite parts of singular and hypersingular integrals with irregular boundary source points ⋮ Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM

Cites Work

• Evaluation of the stress tensor in 3D elastostatics by direct solving of hypersingular integrals
• Hypersingular boundary integral equations have an additional free term
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• Boundary stress calculation using regularized boundary integral equation for displacement gradients
• NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY
• A SINGLE-DOMAIN BOUNDARY ELEMENT METHOD FOR 3-D ELASTOSTATIC CRACK ANALYSIS USING CONTINUOUS ELEMENTS
• HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

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