Plastic deformation instabilities: Lambert solutions of Mecking-Lücke equation with delay

DOI10.1155/2007/45951zbMath1141.74016OpenAlexW2048644752MaRDI QIDQ936195

Saïd Hilout, Mohammed Boutat, Jean Grilhé

Publication date: 13 August 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54361

zbMATH Keywords

linearizationdislocation loopsdifferential-difference equation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stability of dynamical problems in solid mechanics (74H55)

Related Items

Mathematical modelling of plastic deformation instabilities with two delays ⋮ On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays

Uses Software

• LambertW

Cites Work

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• Differential-difference equations
• Introduction to functional differential equations
• On the Portevin-Le Chatelier effect: theoretical modeling and numerical results.
• On the Lambert \(w\) function
• Issues in the numerical solution of evolutionary delay differential equations