Prediction of residual stresses of second kind in deep drawing using an incremental two-scale material model

Hofinger, Julia; Erdle, Hannes; Böhlke, Thomas

doi:10.1080/14786435.2020.1798533

Cited by 6 publications

(9 citation statements)

References 28 publications

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“…Averaging over a phase it follows for the strain and stress within the phase " = A OE N " − a and = B OE N − b . As shown in [9,10], for a two phase material, i.e., = 1,2, explicit expressions are given for the localization tensors and fluctuation fields based on the phase volume fractions c , the effective stiffness tensor N C, the phase-specific stiffness tensors C and the plastic strains within the phases " p . Backstress effects are not considered in the present work due to the lack of data for non-proportional loading histories.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…This allows the usage of the small strain homogenization scheme within an objective incremental setting of large deformations. For details on the incremental two-scale material modeling it is referred to Hofinger et al [10]. In this work the phase-specific plastic strains are given by the generalized Ramberg-Osgood relation…”

Section: Numerical Simulationmentioning

confidence: 99%

“…Based on the finite-element results a mean-field homogenization scheme is used in a second step to estimate the phase-specific residual stresses. In [10] an incremental two-scale simulation K approach is presented, which allows for the consideration of the history of phase-specific micro residual stress evolution for complex forming processes. With the phase-specific and anisotropic strain hardening of the duplex stainless steel X2CrNiN23-4 investigated in [11], the mean field approach can now be applied for sheet metal forming simulation considering the anisotropic and phase-specific material behaviour.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Residual stresses in deep-drawn cups made of duplex stainless steel X2CrNiN23-4

Simon

Erdle

Walzer

et al. 2021

Forsch Ingenieurwes

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Residual stress development in deep drawing processes is investigated based on cylindrical cups made of duplex stainless steel sheet. Using a two-scale approach combining finite element modelling with a mean field homogenization scheme the macro residual stresses as well as the phase-specific micro residual stresses regarding the phases ferrite and austenite are calculated for steel X2CrNiN23‑4 for various drawing depths. The simulation approach allows for the numerical efficient prediction of the macro and phase-specific micro residual stress in every integration point of the entire component. The simulation results are validated by means of X‑ray diffraction residual stress analysis applied to a deep-drawn cup manufactured using corresponding process parameters. The results clearly indicate that the fast simulation approach is well suited for the numerical prediction of residual stresses induced by deep drawing for the two-phase duplex steel; the numerical results are in good agreement with the experimental data. Regarding the investigated process, a significant influence of the drawing depth, in particular on the evolution of the residual stress distribution in drawing direction, is observed. Considering the appropriate phase-specific strain hardening, the two-scale approach is also well suited for the prediction of phase specific residual stresses on the component level.

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Section: Numerical Simulationmentioning

confidence: 99%

Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Residual stresses in deep-drawn cups made of duplex stainless steel X2CrNiN23-4

Simon

Erdle

Walzer

et al. 2021

Forsch Ingenieurwes

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show abstract

“…By investigating the distributions of stresses and strains for three increasingly complicated models, the viability of the methods can be compared. Furthermore, the approach of modeling each of the polycrystalline duplex steel phases as a homogeneous material used by, e.g., Lani et al [12] or Hofinger et al [7] is evaluated.…”

Section: Introductionmentioning

confidence: 99%

Stochastic evaluation of stress and strain distributions in duplex steel

Krause

Böhlke

2021

Arch Appl Mech

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Austenite–ferrite duplex steels generally consist of two differently textured polycrystalline phases with different glide mechanisms. For estimating the effective mechanical behavior of heterogeneous materials, there exist well established approaches, two of which are the classes of mean-field and full-field methods. In this work, the local fields resulting from these different approaches are compared using analytical calculations and full-field simulations. Duplex steels of various textures measured using X-ray diffraction are considered. Special emphasis is given to the influence of the crystallographic texture on the stress and strain distributions.

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“…With ever-increasing computational capabilities, the prediction of phase-specific RS is also feasible nowadays. The numerically efficient mean-field approaches have been proven to be especially well suited for the application on the integration point level during the simulation of structural components [2]. Precise knowledge about the contribution of different phases to the macromechanical behaviour, i.e., the phase-specific strain hardening, is essential for prediction of macro RS and phase-specific micro RS after plastic deformation.…”

Section: Introductionmentioning

confidence: 99%

Phase-Specific Strain Hardening and Load Partitioning of Cold Rolled Duplex Stainless Steel X2CrNiN23-4

et al. 2020

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Multi-phase materials often times consist of constituents with high contrasts in phase-specific mechanical properties. Here, even after homogeneous plastic deformation phase-specific residual stresses develop that may affect the components behaviour in service. For numerical simulation of phase-specific residual stresses, knowledge of the particular phase-specific strain hardening behaviour is essential. In this study, the strain hardening of ferrite and austenite in cold rolled duplex stainless steel of type X2CrNiN23-4 is investigated. By means of X-ray diffraction, the phase-specific load partitioning and residual stress evolution are analysed for uniaxial load application in three directions within the sheets plane, taking into account the sheet metals phase specific anisotropy. In order to assess the necessity for experimental determination of anisotropic phase specific behaviour, the strain hardening parameters, derived from only one loading direction, are implemented in a mean-field approach for prediction of phase-specific stresses. A simplified simulation approach is applied that only considers macroscopic plastic anisotropy and results are compared to experimental findings. For all investigated loading directions, it was observed that austenite is the high-strength phase. This load partitioning behaviour was confirmed by the evolution of phase-specific residual stresses as a result of uniaxial elasto-plastic loading. With the simplified and fast numerical approach, satisfying results for prediction of anisotropic phase-specific (residual) stresses are obtained.

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Prediction of residual stresses of second kind in deep drawing using an incremental two-scale material model

Cited by 6 publications

References 28 publications

Residual stresses in deep-drawn cups made of duplex stainless steel X2CrNiN23-4

Residual stresses in deep-drawn cups made of duplex stainless steel X2CrNiN23-4

Stochastic evaluation of stress and strain distributions in duplex steel

Phase-Specific Strain Hardening and Load Partitioning of Cold Rolled Duplex Stainless Steel X2CrNiN23-4

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