Variational updates for thermomechanically coupled gradient-enhanced elastoplasticity -- implementation based on hyper-dual numbers

DOI10.1016/j.cma.2018.04.047zbMath1440.74082OpenAlexW2802876686MaRDI QIDQ1986245

J. Mosler, Volker Fohrmeister, Alexander Bartels

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.04.047

zbMATH Keywords

numerical differentiationthermomechanical couplingvariational constitutive updateshyper-dual numbersgradient-enhanced elastoplasticity

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Related Items (5)

A variational framework for the thermomechanics of gradient-extended dissipative solids -- with applications to diffusion, damage and plasticity ⋮ A return mapping algorithm based on the hyper dual step derivative approximation for elastoplastic models ⋮ Variational updates for general thermo-chemo-mechanical processes of inelastic solids ⋮ Virtual elements for finite thermo-plasticity problems ⋮ Hill-top branching: its asymptotically expanded and visually solved bifurcation equations

Uses Software

• SuperLU-DIST
• SuperLU
• PETSc
• MPI
• DNAD

Cites Work

• Unnamed Item
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