Historical review of internal state variable theory for inelasticity

Horstemeyer, M.F.; Bammann, Douglas J.

doi:10.1016/j.ijplas.2010.06.005

Cited by 196 publications

(68 citation statements)

References 233 publications

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“…Recent advances in modelling inelastic behaviour include the introduction of internal state variables [13]. In general, three variables have been considered to describe the evolution of inelastic deformation [14]: (i) an initial yield stress, σ 0 , describing an isotropic resistance to create inelastic flow of material; (ii) a stress, σ κ , describing a sum of contributions from isotropic hardening; and (iii) a stress, σ α , that contributes to kinematic hardening.…”

Section: Introductionmentioning

confidence: 99%

Role of the misfit stress between grains in the Bauschinger effect for a polycrystalline material

Chen

Wang

et al. 2015

Acta Materialia

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. (2015) Role of the misfit stress between grains in the Bauschinger effect for a polycrystalline material. Acta Materialia, http://dx.doi.org/10.1016/j.actamat. .11.021 DOI 10.1016/j.actamat.2014.11.021 ISSN 1359 Publisher: Elsevier Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders. This document is the author's post-print version, incorporating any revisions agreed during the peer-review process. Some differences between the published version and this version may remain and you are advised to consult the published version if you wish to cite from it. AbstractThe role of misfit stress on kinematic hardening under reversed straining of a Type 316H austenitic stainless steel has been investigated by using the neutron diffraction technique combined with in-situ deformation. Initial misfit stresses, often referred to an intergranular internal stresses, were created by the tensile pre-straining at high temperature. The misfit stresses at the length-scale of grain families, measured by neutron diffraction, were shown to be a function of the magnitude of the tensile prestrain. The pre-strained specimens were further subjected to either continued (tensile) straining or reversed (compressive) straining at room temperature. In-situ neutron diffraction measurements were undertaken to monitor the change of the misfit stresses during loading. The macroscopic stress-strain behaviour was used to derive isotropic and kinematic hardening stresses developed in the pre-strained specimens. Resultsshow that the change of the transient softening stress towards a zero value is accompanied by a decrease in the change of the misfit stresses. A multi-scale selfconsistent model has been developed to assist in understanding the measured change of the misfit stresses when subjecting the material to strain reversal. An important conclusion is that the origin of the kinematic hardening of Type 316H austenitic stainless steel arises from the misfit stress between grains.

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Section: Introductionmentioning

confidence: 99%

Role of the misfit stress between grains in the Bauschinger effect for a polycrystalline material

Chen

Wang

et al. 2015

Acta Materialia

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“…One method predicts the mechanical behaviour of the component, and two methods include microstructural behaviour in the FEM simulation based on the internal state variable (ISV) approach. The ISV approach is reviewed elsewhere, 42,43 but in short aims to capture the effects of a representative volume element instead of capturing all the complex causes at the microstructural level. The behaviour of observable state variables (OSVs) e.g.…”

Section: Literature Reviewmentioning

confidence: 99%

“…deformation, are described by a sufficient number of internal state variables (ISVs) representing the internal structure of the material. 43 As long as the macroscale ISV representation is complete, the complete microstructural arrangement is not necessary. 44 An example of an ISV approach is to describe deformation with formation and growth of cracks using a constitutive model, i.e.…”

Section: Literature Reviewmentioning

confidence: 99%

Simulation of mechanical behaviour of cast aluminium components

Olofsson

2012

International Journal of Cast Metals Research

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A literature review on methods to consider mechanical behaviour of cast aluminium alloys in finite element method (FEM) simulations of cast aluminium components has been performed. The mechanical behaviour is related to several microstructural parameters achieved during the casting process. Three different methods to consider these microstructural parameters are introduced. One method predicts the mechanical behaviour of the component using casting process simulation software. The other two methods implements numerical models for mechanical behaviour of cast aluminium into the FEM simulation. Applications of the methods are shown, including combinations with statistical methods and geometry optimisation methods. The methods are compared, and their different strengths and drawbacks are discussed.

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“…GTN models define the damage variable as the void fraction, and its evolution is due to the nucleation, growth and coalescence of voids. While initially an isotropic approach to damage, it has been extended to anisotropic damage (Hammi and Horstemeyer, 2007;Zapara et al, 2012;Horstemeyer and Bammann, 2010).…”

Section: Introductionmentioning

confidence: 99%

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

Mengoni¹,

Ponthot²

2015

International Journal of Plasticity

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This paper aims at presenting a general versatile time integration scheme applicable to anisotropic damage coupled to elastoplasticity, considering any damage rate and isotropic hardening formulations. For this purpose a staggered time integration scheme in a finite strain framework is presented, together with an analytical consistent tangent operator. The only restrictive hypothesis is to work with an undamaged isotropic material, assumed here to follow a J 2 plasticity model. The only anisotropy considered is thus a damage-induced anisotropy.The possibility to couple any damage rate law with the present algorithm is illustrated with a classical ductile damage model for aluminium, and a biological damage-like application. The later proposes an original bone remodelling law coupled to trabecular bone plasticity for the simulation of orthodontic tooth movements. All the developments have been considered in the framework of the implicit non-linear finite element code Metafor (developed at the LTAS/MN 2 L, University of Liège, Belgium -www.metafor.ltas.ulg.ac.be).

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Historical review of internal state variable theory for inelasticity

Cited by 196 publications

References 233 publications

Role of the misfit stress between grains in the Bauschinger effect for a polycrystalline material

Role of the misfit stress between grains in the Bauschinger effect for a polycrystalline material

Simulation of mechanical behaviour of cast aluminium components

A generic anisotropic continuum damage model integration scheme adaptable to both ductile damage and biological damage-like situations

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