Three‐dimensional singularities of elastic fields near vertices
From MaRDI portal
Publication:5286183
DOI10.1002/num.1690090309zbMath0771.73014OpenAlexW2114123394MaRDI QIDQ5286183
Klaus Volk, Wolfgang L. Wendland, H.Schmitz
Publication date: 29 June 1993
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.1690090309
eigenvectorsspectral pointsdisplacement boundary conditionsMellin transformationboundary integral equation of the first kindspline-Galerkin methodthree-dimensional vertex
Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)
Related Items
TRANSMISSION PROBLEMS FOR THE LAPLACE AND ELASTICITY OPERATORS: REGULARITY AND BOUNDARY INTEGRAL FORMULATION, BIE fracture mechanics analysis: 25 years of developments, ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA, Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners., The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems., Numerical analysis of stress singularity at singular points of three-dimensional elastic bodies, Geometrically conforming and directionally enriched finite element method for three dimensional slender members, A study of three-dimensional edge and corner problems using the nebem solver, The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity, The boundary element method for three-dimensional Stokes flows exterior to an open surface, Block second-order Krylov subspace methods for large-scale quadratic eigenvalue problems, On a class of alternating coefficient matrices quadratic eigenvalue problem, Efficient computation of order and mode of corner singularities in 3D‐elasticity, Boundary integral equation method for conductive cracks in two and three-dimensional transversely isotropic piezoelectric media, Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods, Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes, Restarted generalized Krylov subspace methods for solving large-scale polynomial eigenvalue problems, Unnamed Item, Asymptotic behavior of stress intensity factors near an angular point of a crack front, Singularities and treatments of elliptic boundary value problems., Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Table errata: Table of integrals, series and products [English translation of the fourth Russian edition, Academic Press, New York, 1965; MR 33 #5952 by I. S. Gradšteĭn and I. M. Ryžik]
- On the discrete approximation of eigenvalue problems with holomorphic parameter dependence