On the use of Somigliana's formula and Fourier series for elasticity problems with circular boundaries

DOI10.1002/nme.789zbMath1032.74693OpenAlexW2022951542MaRDI QIDQ4446795

Sofia G. Mogilevskaya, Steven L. Crouch

Publication date: 3 February 2004

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.789

zbMATH Keywords

elasticityFourier seriesdirect boundary integral methodSomigliana's formulamultiple circular holes and inclusions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (14)

The interior field method for Laplace's equation in circular domains with circular holes ⋮ New series expansions for fundamental solutions of linear elastostatics in 2D ⋮ Complex variable boundary integral method for linear viscoelasticity. II: Application to problems involving circular boundaries ⋮ On the use of Somigliana's formulae and series of surface spherical harmonics for elasticity problems with spherical boundaries ⋮ A semi-analytical solution for multiple circular inhomogeneities in one of two joined isotropic elastic half-planes ⋮ A complex boundary integral method for multiple circular holes in an infinite plane. ⋮ Numerical modeling of micro- and macro-behavior of viscoelastic porous materials ⋮ A boundary integral method for multiple circular inclusions in an elastic half-plane ⋮ A new method for Stokes problems with circular boundaries using degenerate kernel and Fourier series ⋮ A time domain direct boundary integral method for a viscoelastic plane with circular holes and elastic inclusions ⋮ Torsional rigidity of a circular bar with multiple circular inclusions using the null-field integral approach ⋮ Null‐field approach for Laplace problems with circular boundaries using degenerate kernels ⋮ A spectral alternating method for elastostatic problems with multiple spherical cavities ⋮ Direct boundary integral procedure for a Boltzmann viscoelastic plane with circular holes and elastic inclusions

Cites Work

• Unnamed Item
• Multiple Circular Inclusion Problems in Plane Elastostatics

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