Mathematical modelling of plastic deformation instabilities with two delays

DOI10.1016/J.APM.2009.11.013zbMath1195.74131OpenAlexW2081775983MaRDI QIDQ1957325

Jean Grilhé, Idriss Laadnani, Mohammed Boutat, Saïd Hilout

Publication date: 25 September 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.11.013

zbMATH Keywords

asymptotic stabilitydislocationcharacteristic equationplastic deformationretarded differential-difference equations

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05) Crystals in solids (74N05)

Uses Software

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• dde23

Cites Work

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• Differential-difference equations
• Plastic deformation instabilities: Lambert solutions of Mecking-Lücke equation with delay
• Stability and bifurcation in delay-differential equations with two delays
• Introduction to functional differential equations
• Global geometry of the stable regions for two delay differential equations
• Issues in the numerical solution of evolutionary delay differential equations
• Solving DDEs in Matlab

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