Consistent tangent matrices for substepping schemes

DOI10.1016/S0045-7825(00)00336-4zbMath1002.74098OpenAlexW2151892090MaRDI QIDQ5944612

Agustí Pérez-Foguet, Antonio Huerta, Antonio Rodríguez-Ferran

Publication date: 13 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(00)00336-4

zbMATH Keywords

finite element methodnumerical differentiationquadratic convergencecomputational plasticityconsistent tangent matrixconsistent tangent modulisubstepping time-integration schemes

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)

Related Items (22)

A direct complementarity approach for the elastoplastic analysis of plane stress and plane strain structures ⋮ Dimension extending technique for constitutive integration of plasticity with hardening-softening behaviors ⋮ Consistent tangent formulation for 3D interface modeling of cracking/fracture in quasi-brittle materials ⋮ Second-order cone programming with warm start for elastoplastic analysis with von Mises yield criterion ⋮ A comprehensive implicit substepping integration scheme for multisurface plasticity ⋮ A robust computational strategy for failure prediction of masonry structures using an improved multi‐surface damage‐plastic based interface model ⋮ A return mapping algorithm based on the hyper dual step derivative approximation for elastoplastic models ⋮ On the formulation of closest-point projection algorithms in elastoplasticity-part I: The variational structure ⋮ State update algorithm for isotropic elastoplasticity by incremental energy minimization ⋮ An adaptive sub-incremental strategy for the solution of homogenization-based multi-scale problems ⋮ Critical softening in Cam-Clay plasticity: adaptive viscous regularization, dilated time and numerical integration across stress-strain jump discontinuities ⋮ A sub-stepping scheme for multi-scale analysis of solids ⋮ Return mapping for nonsmooth and multiscale elastoplasticity ⋮ Accelerated proximal gradient method for elastoplastic analysis with von Mises yield criterion ⋮ A non-linear interface element for 3D mesoscale analysis of brick-masonry structures ⋮ Consistent tangent matrices for density-dependent finite plasticity models ⋮ A sub-stepping approach for elasto-plasticity with rotational hardening ⋮ Computational methods for elastoplasticity: an overview of conventional and \textit{less-conventional} approaches ⋮ Numerical implementation of spatial elastoplastic damage model of concrete in the framework of isogeometric analysis approach ⋮ An alternative method for the integration of continuum damage evolution laws ⋮ Efficient and modular algorithms in modeling finite inelastic deformations: objective integration, parameter identification and sub-stepping techniques ⋮ An open-source unconstrained stress updating algorithm for the modified Cam-clay model

Cites Work

• Unnamed Item
• Consistent tangent operators for rate-independent elastoplasticity
• Computational inelasticity
• Numerical differentiation for local and global tangent operators in computational plasticity
• A smooth hyperbolic approximation to the Mohr-Coulomb yield criterion
• Symmetry-preserving return mapping algorithms and incrementally extremal paths: A unification of concepts
• Accuracy and stability of integration algorithms for elastoplastic constitutive relations
• Numerical technique in plasticity including solution advancement control
• Substepping schemes for the numerical integration of elastoplastic stress–strain relations
• Quasi-Newton Methods, Motivation and Theory
• On the formulation of closest-point projection algorithms in elastoplasticity-part I: The variational structure
• AN AUTOMATIC LOAD STEPPING ALGORITHM WITH ERROR CONTROL
• Numerical differentiation for non-trivial consistent tangent matrices: an application to the MRS-Lade model

This page was built for publication: Consistent tangent matrices for substepping schemes