Digital Material Representation as an efficient tool for strain inhomogeneities analysis at the micro scale level

Madej, Łukasz; Rauch, Ł.; Perzyński, K.; Cybułka, P.

doi:10.1016/s1644-9665(12)60108-3

Cited by 54 publications

(39 citation statements)

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“…Numerous studies have been carried out to produce numerical microstructures using Voronoi tessellation [22,24,41]. It is well established that polycrystalline microstructures can be modelled using Voronoi tessellations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of two-phase ceramic composites using micromechanical models

Alveen

McNamara

Carolan

et al. 2014

Computational Materials Science

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Micromechanical models of two-phase ceramic composites are created using a modified Voronoi tessellation approach. These representative Finite Volume (FV) microstructures are used to investigate the role of microstructure on fracture of advanced ceramics. An arbitrary crack propagation model using a cell-centred finite volume based method is implemented. In particular the effect of matrix content is examined. It is shown that the underlying microstructure significantly affects the local stress and strain distributions for a two-phase ceramic containing hard particles in a softer matrix. Simulation results indicate that an increase in the volume fraction of these hard grains leads to an increase in strength of the composite material. Furthermore, it is found that the homogeneity of the microstructure affects the overall strength.

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Section: Introductionmentioning

confidence: 99%

Analysis of two-phase ceramic composites using micromechanical models

Alveen

McNamara

Carolan

et al. 2014

Computational Materials Science

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“…To facilitate the generation of input data in the form of microstructural morphology, especially in 3D, different numerical methods have also been developed. The Voronoi tessellation, cellular automata or Monte Carlo grain growth models are among the most commonly used, see the authors' earlier research e. g. Madej et al [15] for more details.…”

Section: Digital Representation Of Materials Microstructurementioning

confidence: 99%

“…From Pietrzyk et al [14] and Madej et al [15] it can be concluded that there is a lack of methods capable of generation of virtual microstructures of magnesium alloy with explicit representation of twin boundaries. Thus, development of such an algorithm based on the cellular automata method is one of the goals of the present work.…”

Section: Digital Representation Of Materials Microstructurementioning

confidence: 99%

“…4 the simple CA grain growth model can provide a reliable representation of polycrystalline microstructure after the homogenisation process involving for example grain coarsening or static recrystallisation. Additionally to improve quality of obtained results microstructure can be subjected to Monte Carlo grain growth algorithm, based on energy minimisation criterion as described in the authors' earlier work, Madej et al [15].…”

Section: Digital Representation Of Materials Microstructurementioning

confidence: 99%

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Digital material representation concept applied to investigation of local inhomogeneities during manufacturing of magnesium components for automotive applications

Madej

Ambroziński

Kwiecien

et al. 2017

International Journal of Materials Research

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Digital material representation concept applied to investigation of local inhomogeneities during manufacturing of magnesium components for automotive applications Multi-scale computer aided design of manufacturing processes of a magnesium bracket for the automotive industry is the main goal of the present paper. Tensile tests at various deformation conditions (temperatures, strain rates etc.) were performed to obtain flow stress data necessary for the macro-scale finite element analysis. The digital material representation concept was used to create a micro-scale model and to evaluate the influence of local microstructural features in the form of twins on material behaviour. An algorithm based on the cellular automata method capable of replicating microstructural morphology with twins was proposed to provide the digital material representation model. The bracket made of AZ31 magnesium alloy was formed at an elevated temperature of 200 8C. Description of the study as well as results obtained at two length scales are presented in the paper.

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“…The algorithm allows to recreate microstructures statistically as well as exactly -to precisely reflect specimen microstructure on the basis of experimental observations. A detailed review on the state of the art as well as authors contribution in this field can be found in earlier works [4,5].…”

Section: Numerical Simulation -Digital Materials Representation and Crmentioning

confidence: 99%

Application of Crystal Plasticity Model for Simulation of Polycrystalline Aluminum Sample Behavior During Plain Strain Compression Test

Wajda¹,

Madej²,

Paul³

2013

Archives of Metallurgy and Materials

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Capabilities of crystal plasticity finite element (CPFE) model in application to modeling polycrystalline aluminum sample behavior during plain strain compression test are discussed within the present work. To simplify analysis of material behavior during plain strain compression the aluminum specimen is composed of only three grains, both in experiment and numerical simulation. To reconstruct appropriate grains morphology a digital material representation (DMR) technique is used. The predicted/calculated values of loads and pole figures are compared with the experimental data. Calculated results remain in good agreement with experimental data what highlight predictive capabilities of the proposed approach in modeling material behavior under loading conditions. The conclusions regarding model capabilities and possible improvements during further work are also drawn in the paper.Keywords: crystal plasticity, texture, microstructure, digital material representation W artykule przedstawiono możliwości opisu zachowania umocnieniowego, polikrystalicznej próbki aluminiowej ściskanej w płaskim stanie odkształcenia, z wykorzystaniem modelu plastyczności kryształu i Metody Elementów Skończonych. Ściskana próbka składała się z trzech ziaren, co ułatwiło analizę jej zachowania umocnieniowego oraz weryfikację wyników numerycznych. Zastosowanie modelu plastyczności kryształów do symulacji zachowania odkształceniowego próbek polikrystalicznych wymaga odwzorowania rzeczywistej (mikro)struktury próbki, do czego wykorzystano koncepcję Cyfrowej Reprezentacji Materiału (DMR -ang. Digital Material Representation). Metoda DMR umożliwia rekonstrukcję morfologii oraz określenie początkowej orientacji ziaren w symulacji. Wyniki obliczeń w postaci figur biegunowych oraz naprężenia w funkcji odkształcenia zostały porównane z wynikami doświadczalnymi. Obliczone wyniki wykazują dobrą zgodność z doświadczeniem. W artykule omówiono wyniki porównania oraz przedstawiono wnioski głównie dotyczące kierunku udoskonalenia modelu w dalszej pracy.

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Digital Material Representation as an efficient tool for strain inhomogeneities analysis at the micro scale level

Cited by 54 publications

References 1 publication

Analysis of two-phase ceramic composites using micromechanical models

Analysis of two-phase ceramic composites using micromechanical models

Digital material representation concept applied to investigation of local inhomogeneities during manufacturing of magnesium components for automotive applications

Application of Crystal Plasticity Model for Simulation of Polycrystalline Aluminum Sample Behavior During Plain Strain Compression Test

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