Extension of constrained incremental Newton-Raphson scheme to generalized loading fields

DOI10.1016/0016-0032(84)90040-1zbMath0555.73084OpenAlexW1979598731MaRDI QIDQ761273

D. Kharzeev

Publication date: 1984

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(84)90040-1

zbMATH Keywords

convergencestatic responsestability characteristicscompletely generalized historiesconstrained incremental Newton-Raphson schemecontrol successive or clustered load stepskinematic and material nonlinearityloading fieldspre- and postbuckling behaviourspecially warped hyperelliptic constraint surfacestiming schedulesvicinity of loading events

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elasticity (74B20) Numerical and other methods in solid mechanics (74S99)

Cites Work

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• Some practical procedures for the solution of nonlinear finite element equations
• Formal convergence characteristics of elliptically constrained incremental Newton-Raphson algorithms
• An incremental approach to the solution of snapping and buckling problems
• Discrete approximations related to nonlinear theories of solids
• The solution of nonlinear finite element equations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Self-adaptive predictor-corrector algorithms for static nonlinear structural analysis
• On the solution of elastic-plastic static and dynamic postbuckling collapse of general structure

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