On the computation of the pure Neumann problem in 2-dimensional elasticity

DOI10.1007/s10704-007-9167-1zbMath1264.74078OpenAlexW2002470829MaRDI QIDQ1953943

Markus Fulland, Martin Steigemann

Publication date: 12 June 2013

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-007-9167-1

zbMATH Keywords

finite elementsstress intensity factorsweight functionsNeumann problemtwo-dimensional elasticityanisotropic solids

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (4)

Solving the pure Neumann problem by a mixed finite element method ⋮ A solution of the degenerate Neumann problem by the finite element method ⋮ A BEM approach to the evaluation of warping functions in the Saint Venant theory ⋮ A novel study based on Lerch polynomials for approximate solutions of pure Neumann problem

Cites Work

• A numerical procedure for the determination of certain quantities related to the stress intensity factors in two-dimensional elasticity
• Differences in the Effects of Rounding Errors in Krylov Solvers for Symmetric Indefinite Linear Systems
• Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
• Solution of Sparse Indefinite Systems of Linear Equations
• [Russian Text Ignored.]
• ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
• Asymptotics Without Logarithmic Terms for Crack Problems†
• On the Finite Element Solution of the Pure Neumann Problem
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