Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient

DOI10.1002/ZAMM.201600286arXiv1612.04620MaRDI QIDQ6087224

Unnamed Author, Alexey V. Shutov, Unnamed Author

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04620

zbMATH Keywords

finite straincyclic creepcreep anisotropyKachanov-Rabotnov damagenested multiplicative split

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (3)

Calculations of large nonisothermal deformations of elastoviscoplastic materials ⋮ Mathematical modelling of the production process of irreversible strains under the heating and cooling of a flat heavy layer on an inclined surface ⋮ On the sequential change in the mechanisms of production of large irreversible deformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Experimental study and modeling of damage of Al alloys using tensor theory
• Exact formulation of subloading surface model: unified constitutive law for irreversible mechanical phenomena in solids
• Geometric integrators for multiplicative viscoplasticity: analysis of error accumulation
• Theory of creep deformation with kinematic hardening for materials with different properties in tension and compression
• On the description of cyclic creep and rate dependent plastic deformation
• On the creep-hardening rule for metals with a memory of maximal prestress
• A comparative study of kinematic hardening rules at finite deformations
• Constitutive equations for cyclic plasticity and cyclic viscoplasticity
• Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration
• A constitutive equation of creep based on the concept of a creep- hardening surface
• Creep constitutive modeling of an aluminum alloy under multiaxial and cyclic loading
• Geometrically nonlinear bending of thin-walled shells and plates under creep-damage conditions
• Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility.
• On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime.
• Constitutive modelling in finite thermoviscoplasticity: A physical approach based on nonlinear rheological models
• Constitutive equations of creep under changing multiaxial stresses
• Efficient implicit integration for finite-strain viscoplasticity with a nested multiplicative split
• An explicit solution for implicit time stepping in multiplicative finite strain viscoelasticity
• Cyclic behavior modeling of a tempered martensitic hot work tool steel
• Stress computation in finite thermoviscoplasticity
• Theory of creep with anisotropic hardening
• An enhanced concept of rheological models to represent nonlinear thermoviscoplasticity and its energy storage behavior
• On plastic incompressibility within time-adaptive finite elements combined with projection techniques
• On the modelling of non‐linear kinematic hardening at finite strains with application to springback—Comparison of time integration algorithms
• Mechanics of Solid Materials
• A unified model for inelastic deformation of polycrystalline materials -- application to transient behavior in cyclic loading and relaxation.

This page was built for publication: Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient