Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus

DOI10.1007/s00466-015-1218-2zbMath1336.74014OpenAlexW2248649485WikidataQ113327584 ScholiaQ113327584MaRDI QIDQ905064

André Hürkamp, Michael Kaliske, Masato Tanaka

Publication date: 14 January 2016

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-015-1218-2

zbMATH Keywords

fractional time derivativealgorithmic tangent modulicomplex step derivative approximationlarge strain viscoelasticitynonlinear finite element simulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Fractional derivatives and integrals (26A33) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Nonlinear constitutive equations for materials with memory (74D10) Numerical differentiation (65D25)

Related Items (3)

On the accuracy of the complex-step-finite-difference method ⋮ Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay ⋮ Hyper-dual number-based numerical differentiation of eigensystems

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