An improvement in the modeling of the second derivative of displacement field in structural analysis

DOI10.1016/J.MCM.2007.11.017zbMath1156.74377OpenAlexW1987945949MaRDI QIDQ1007666

B. Hakimelahi, A. Ghazavi, Nasser Soltani

Publication date: 23 March 2009

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.11.017

zbMATH Keywords

finite element\(J\)-integralshape functionGauss pointsecond derivation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Interfacial crack-tip constraints and \(J\)-integral for bi-materials with plastic hardening mismatch
• On the definition of local path independent integrals in three- dimensional crack problems
• Path-independent \(J\)-integral and its dual form in elastic-plastic solids with finite displacements
• Conservation law and application of \(J\)-integral in multi-materials.
• Optimal stress locations in finite element models
• Local and global smoothing of discontinuous finite element functions using a least squares method

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