Mesoscale fracture of a bearing steel: A discrete crack approach on static and quenching problems

Schicchi, Diego Said; Caggiano, António; Benito, Santiago; Hoffmann, F.

doi:10.1016/j.tafmec.2017.04.006

Cited by 9 publications

(3 citation statements)

References 39 publications

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“…In this context, the free energy is defined by ψ =ψ ε, θ, ∇θ, ε p , κ, ξ i :=ψ ε te , θ, ∇θ, ε p , κ, ξ i (43) and consequentlyψ…”

Section: Enhanced Theorymentioning

confidence: 99%

“…Various classification schemes, based on thermodynamics, microstructure or mechanism, have been discussed from a practical and fundamental point of view by Ågren [41]. For example, it is normal in the heat treating community [28,29,42,43] to split the transformations into two different groups: (i) the diffusive transformations, commonly assessed with the Johnson-Mehl-Avrami model [44,45], and (ii) the non-diffusive transformations, dealing with the martensitic transformation, following Koistinen-Marburger model [46].…”

Section: Phase Transformations In the Microscalementioning

confidence: 99%

See 1 more Smart Citation

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Schicchi

Caggiano

Hunkel

et al. 2018

Continuum Mech. Thermodyn.

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A multiscale framework for thermo-mechanical analysis with phase transformations is proposed in this work. The formulation covers those cases including coupled constitutive equations for simulating thermomechanical processes considering phase transformation phenomena. The general case of temperature-and phase-dependent procedures, involving nonlinear plasticity concepts, is considered as main framework in order to formulate the material dissipation at both micro-and macroscopic level of observation. Thermodynamic consistency conditions for computational up/downscaling between micro-and macroscales are presented, with special focus on phase transformation phenomena, for both the mechanical and thermal homogenization. Classical Coleman-Gurtin thermodynamics is employed at the microscale, whereas an extended framework is considered at the macroscale due to the temperature gradient dependency of the macro stress. The multiscale procedure is based on a variational approach largely discussed in the literature. The overall coupled process at both micro-and macroscopic scales, averaging criteria, thermal, mechanical and phase change constitutive expressions, as well as the corresponding homogenization rules, are discussed and derived in detail.

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“…In this context, the free energy is defined by ψ =ψ ε, θ, ∇θ, ε p , κ, ξ i :=ψ ε te , θ, ∇θ, ε p , κ, ξ i (43) and consequentlyψ…”

Section: Enhanced Theorymentioning

confidence: 99%

Section: Phase Transformations In the Microscalementioning

confidence: 99%

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Schicchi

Caggiano

Hunkel

et al. 2018

Continuum Mech. Thermodyn.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the previous studies, the embedded finite element method (E‐FEM) is used to describe the discontinuities by embedding a displacement discontinuity model in the element . To model the thermomechanical fracture processes of the concrete, the zero‐thickness interfaces, which are obtained by a proper node duplication and update of the finite element connectivity matrix, are employed to capture the cracks . To model the microstructure, the lattice‐particle model is proposed, in which each element of the lattice is considered as a beam element with three degrees of freedom per node, and the discontinuity of the structure is described by the failure of the beam .…”

Section: Introductionmentioning

confidence: 99%

The improvement of crack propagation modelling in triangular 2D structures using the extended finite element method

Chen

Zhou

Berto

2018

Fatigue Fract Eng Mat Struct

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In this paper, a novel geometric method combined with the piecewise linear function method is introduced into the extended finite element method (XFEM) to determine the crack tip element and crack surface element. Then, by combining with the advanced mesh technique, a novel method is proposed to improve the modelling of crack propagation in triangular 2D structure with the XFEM. The numerical tests show that the accuracy, the convergence, and the stability of the XFEM can be improved using the proposed method. Moreover, the applicability of the conventional multiple enrichment scheme is discussed. Compared with the proposed method, the conventional multiple enrichment scheme has deficiency in mixed mode I and II crack. Finally, a comparative study shows that the performance of the XFEM by using the proposed method to model the crack propagation can be greatly improved.

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Simulation of local metastable microstructural states in large tools: construction and validation of the model

Schuppener,

Berger,

Benito

et al. 2023

Int J Adv Manuf Technol

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This study presents the development and experimental verification of a simulation model for estimating the local microstructure of a tool geometry after heat treatment. The experiment involved subjecting a metallic block of dimensions 40 × 50 × 50 mm, made of the ledeburitic cold work steel DIN EN 1.2379 (X153CrMoV12; AISI D2), to a heat treatment in a laboratory furnace at 1000 °C for 20 min. Thermocouples were strategically placed to record time-temperature profiles at different locations within the block. Following the heat treatment, the local microstructure was determined through quantitative image analysis, and the local hardness was measured as a function of the distance from the block’s edge to its core. These measurements were then correlated with the corresponding time-temperature curves obtained from the thermocouples. To replicate the local time-temperature profiles, the thermophysical properties of the steel were experimentally determined and incorporated into a finite element analysis heat transfer simulation using Abaqus FEA® software. This simulation approach, combined with the MatCalc software, facilitated the calculation of various local microstructural characteristics such as carbide content, carbide type, carbide distribution, and chemical composition of the matrix. Furthermore, the content fractions of the microconstituents of the matrix, including martensite and retained austenite, were determined based on the simulated martensite start temperature, employing an optimized function fitted to experimental data. The developed simulation model offers potential applications in two important areas. Firstly, it can be used to adapt heat treatment processes for tools of different sizes in production, optimizing their mechanical properties. Secondly, it enables efficient optimization of heat treatment routes by considering changing initial states, leading to high process quality in terms of mechanical properties. Overall, this study provides valuable insights into the estimation and control of local microstructure in tool geometries through the use of a validated simulation model.

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Mesoscale fracture of a bearing steel: A discrete crack approach on static and quenching problems

Cited by 9 publications

References 39 publications

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

Thermodynamically consistent multiscale formulation of a thermo-mechanical problem with phase transformations

The improvement of crack propagation modelling in triangular 2D structures using the extended finite element method

Simulation of local metastable microstructural states in large tools: construction and validation of the model

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