Stress/strain gradient plasticity model for size effects in heterogeneous nano-microstructures

Liu, Hao; Hamid, Mehdi; Ruimi, Annie; Zbib, Hussein M.

doi:10.1016/j.ijplas.2017.05.009

Cited by 57 publications

(24 citation statements)

References 56 publications

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“…In addition to this analysis, it should be mentioned that the formation of the heterogeneously banded microstructure produced via UFH might lead to strain/stress gradients between ferrite, bainite and retained austenite (which transforms to martensite upon straining), producing a synergic effect that conduced to the enhancement of ductility without decreasing the strength level, as reported in Refs. [72][73][74]. Ryu et al demonstrated that the strain partitioning between microconstituents in low alloy steels drastically influences the stability of retained austenite [75], and this factor could be related to the higher mechanical stability indirectly evaluated for the RA grains in the UFH sample.…”

Section: Discussionmentioning

confidence: 99%

The Effect of Different Annealing Strategies on the Microstructure Development and Mechanical Response of Austempered Steels

Durán

Corallo

Ros-Yanez

et al. 2021

Metals

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This study focuses on the effect of non-conventional annealing strategies on the microstructure and related mechanical properties of austempered steels. Multistep thermo-cycling (TC) and ultrafast heating (UFH) annealing were carried out and compared with the outcome obtained from a conventionally annealed (CA) 0.3C-2Mn-1.5Si steel. After the annealing path, steel samples were fast cooled and isothermally treated at 400 °C employing the same parameters. It was found that TC and UFH strategies produce an equivalent level of microstructural refinement. Nevertheless, the obtained microstructure via TC has not led to an improvement in the mechanical properties in comparison with the CA steel. On the other hand, the steel grade produced via a combination of ultrafast heating annealing and austempering exhibits enhanced ductility without decreasing the strength level with respect to TC and CA, giving the best strength–ductility balance among the studied steels. The outstanding mechanical response exhibited by the UFH steel is related to the formation of heterogeneous distribution of ferrite, bainite and retained austenite in proportions 0.09–0.78–0.14. The microstructural formation after UFH is discussed in terms of chemical heterogeneities in the parent austenite.

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Section: Discussionmentioning

confidence: 99%

The Effect of Different Annealing Strategies on the Microstructure Development and Mechanical Response of Austempered Steels

Durán

Corallo

Ros-Yanez

et al. 2021

Metals

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“…multimodal distributions are observed [28]. As was pointed out in [29], nonuniform grain size distribution often plays a major role in a material response during deformation. That is why the DigiCore software was extended by another library MSMgradientLib to generate gradient type microstructures.…”

Section: Algorithms For Flexible Generation Of Heterogenous Microstrumentioning

confidence: 99%

Cellular Automata-based computational library for development of digital material representation models of heterogenous microstructures

Boguń

Sitko

Mojżeszko

et al. 2021

Archiv.Civ.Mech.Eng

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The development of an efficient numerical approach for the generation of a wide range of heterogeneous microstructures models with the application of the lean workflow concept is presented in the paper. First, the idea and implementation details of the developed cellular automata-based computational library allowing the development of digital material representation models within a workflow are presented in the paper. Such an approach provides the desired flexibility in the generation of various digital models of heterogenous microstructures. Therefore, the proposed library is mostly implemented within the object-oriented C + + programming language with the assumption of modularity. In this case, the main part of the application consists of classes and methods, which can be treated like base elements to be inherited and extended in other libraries. Each additional dynamic link library implements particular algorithms for the generation of specific microstructure features in the digital model within the unified data structures that allow the application of the workflow concept. The set of developed libraries and their assumptions are described as case studies to show the capabilities of the presented solution. Finally, examples of practical applications of the developed library in the full-field numerical simulations of complex material deformation are presented at the end of the paper.

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“…Combined 'strain' and 'stress gradient' plasticity has been successfully applied to capture, e.g., the multi-scale nature of size-dependence in heterogeneous nanoand micro-structured materials, see Lyu, Taheri-Nassay and Zbib [45], Lyu et al. [44].…”

Section: Introductionmentioning

confidence: 99%

A novel continuum approach to gradient plasticity based on the complementing concepts of dislocation and disequilibrium densities

Steinmann

Kergaßner

Landkammer

et al. 2019

Journal of the Mechanics and Physics of Solids

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A geometrically linear continuum mechanics framework is proposed for gradient plasticity combining 'strain gradients' and, with a novel approach, 'stress gradients'. Thereby the duality of kinematic and kinetic quantities is exploited in view of the 'div-grad-curl orthogonality' in continuum eld theories. On the one hand the non-integrability of the plastic distortion results in the well-established dislocation density-often denoted as the geometrically-necessary-dislocation (GND) density-that enters the energy storage function. On the other handas entirely novel concept introduced in this contribution-the non-equilibrium of the plastic stress results in the disequilibrium density that parameterizes the dual dissipation potential within the convex analysis setting of plasticity. Consequently both, the dislocation density as well as the disequilibrium density contribute in modelling the size-dependent hardening state of a material in a continuum mechanics setting. The novel approach is eventually elucidated in much detail for the specic case of single crystal plasticity.

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Stress/strain gradient plasticity model for size effects in heterogeneous nano-microstructures

Cited by 57 publications

References 56 publications

The Effect of Different Annealing Strategies on the Microstructure Development and Mechanical Response of Austempered Steels

The Effect of Different Annealing Strategies on the Microstructure Development and Mechanical Response of Austempered Steels

Cellular Automata-based computational library for development of digital material representation models of heterogenous microstructures

A novel continuum approach to gradient plasticity based on the complementing concepts of dislocation and disequilibrium densities

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