Macro modelling and homogenization for transformation induced plasticity of a low-alloy steel

Mahnken, Rolf; Schneidt, Andreas; Antretter, Thomas

doi:10.1016/j.ijplas.2008.03.005

Cited by 91 publications

(60 citation statements)

References 36 publications

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“…Mahnken et al (2009) used a rule of mixtures to calculate a h taking into ac count the different coefficients for thermal expansion of martensite and austenite. However, different authors (Sideridis et al, 2005) shown that the thermal expansion coefficient does not obey the law of mixtures because a state of microstresses appears between the phases when submitted to a temperature increase.…”

Section: Proposed Modifications For the Modelmentioning

confidence: 99%

“…The complex material behavior of the steel was modeled in the framework of small deformations, including phase transformation, plasticity and TRIP effect. Mahnken et al (2009) pre sented a constitutive model formulated within a small strain theory, which combines the effects of viscoplasticity and TRIP. The main aim of the model was the simulation of metal forming and heat treatment of low alloy steels.…”

Section: Introductionmentioning

confidence: 99%

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A constitutive model for analyzing martensite formation in austenitic steels deforming at high strain rates

Zaera

Rodríguez-Martínez

Casado³

et al. 2012

International Journal of Plasticity

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a b s t r a c tThis study presents a constitutive model for steels exhibiting SIMT, based on previous sem inal works, and the corresponding methodology to estimate their parameters. The model includes temperature effects in the phase transformation kinetics, and in the softening of each solid phase through the use of a homogenization technique. The model was validated with experimental results of dynamic tensile tests on AISI 304 sheet steel specimens, and their predictions correlate well with the experimental evidence in terms of macroscopic stress strain curves and martensite volume fraction formed at high strain rates. The work shows the value of considering temperature effects in the modeling of metastable austen itic steels submitted to impact conditions. Regarding most of the works reported in the lit erature on SIMT, modeling of the martensitic transformation at high strain rates is the distinctive feature of the present paper.

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Section: Proposed Modifications For the Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A constitutive model for analyzing martensite formation in austenitic steels deforming at high strain rates

Zaera

Rodríguez-Martínez

Casado³

et al. 2012

International Journal of Plasticity

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“…1 Hybrid-forming tool: a) Photography, b) Simulated displacement normal to the forming surface after 50 cycles of thermal shock steel 51CrV4 used in the regarded hybrid-forming process [1] are not available. Therefore we assume material parameters obtained in [5] for a low-alloy steel. The coupled thermo-mechanical problem is simulated with the finite-element program Abaqus/Standard, where quadratic axi-symmetric finite elements are used.…”

Section: Work Piecementioning

confidence: 99%

Simulation of a Hybrid‐Forming Process using Temperature‐ and Rate‐Dependent Viscoplastic Material Models

Sauerland

Schneidt

Mahnken

2009

Proc Appl Math and Mech

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Hybrid-forming processes for graded structures are quite innovative methods for the production of components with tailored properties, particularly tailored material properties and geometrical shape. In this contribution a hybrid-forming process based on the utilization of locally varying thermo-mechanical effects is investigated [1]. For process optimization and improvement of the resulting work piece the simulation of the entire forming process is necessary in modern engineering. The main topics of this contribution are the simulation of the cyclic thermal loaded forming tool and the simulation of the work piece treated at large deformations with phase transformations. For both materials temperature-and rate-dependent viscoplastic material models are applied and parameter identification using cyclic tensile-compression tests for the forming tool material and phase transformation tests for a low-alloy steel similar to the work piece material is presented. For validation of finite-elementcalculations for the forming tool thermal shock experiments are performed with optical deformation measurements. For validation of finite-element-calculations for the work piece numerical results of geometry and structure after heating, forming and cooling are compared to experimental micro sections. Results concerning the forming tool will be used for future lifetime prediction and results concerning the work piece will be used for future specific setting of graded material properties.

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“…These models account for the complete phase transformation tensor but do not enable to derive a simple analytic form for the overall transformation plastic strain rate. On the other hand, numerical investigations have been published, for instance Mahnken et al (2009) proposed a numerical homogenization based on Finite Element simulations of random cubic unit cells. Barbe et al (2007) proposed a Finite Element modeling of a unit cell that undergoes a diffusive phase transformation, which is modeled by changing material properties as the transformation goes on.…”

Section: Introductionmentioning

confidence: 99%

Multiphase model for transformation induced plasticity. Extended Leblond’s model

Weisz-Patrault

2017

Journal of the Mechanics and Physics of Solids

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To cite this version:Daniel Weisz-Patrault. Multiphase model for transformation induced plasticity. Extended Leblond's model. Journal of the Mechanics and Physics of Solids, Elsevier, 2017, 106, pp.152 -175 AbstractTransformation induced plasticity (TRIP) classically refers to plastic strains observed during phase transitions that occur under mechanical loads (that can be lower than the yield stress). A theoretical approach based on homogenization is proposed to deal with multiphase changes and to extend the validity of the well known and widely used model proposed by Leblond, J.-B., Devaux, J., and Devaux, J. (1989). Mathematical modelling of transformation plasticity in steels i: case of ideal-plastic phases. International journal of plasticity, 5(6):551-572. The approach is similar, but several product phases are considered instead of one and several assumptions have been released. Thus, besides the generalization for several phases, one can mention three main improvements in the calculation of the local equivalent plastic strain: the deviatoric part of the phase transformation is taken into account, both parent and product phases are elastic-plastic with linear isotropic hardening and the applied stress is considered. Results show that classical issues of singularities arising in the Leblond's model (corrected by ad hoc numerical functions or thresholding) are solved in this contribution excepted when the applied equivalent stress reaches the yield stress. Indeed, in this situation the parent phase is entirely plastic as soon as the phase transformation begins and the same singularity as in the Leblond's model arises. A physical explanation of the cutoff function is introduced in order to regularize the singularity. Furthermore, experiments extracted from the literature dealing with multiphase transitions and multiaxial loads are compared with the original Leblond's model and the proposed extended version. For the extended version, very good agreement is observed without any fitting procedures (i.e., material parameters are extracted from other dedicated experiments) and for the original version results are more qualitative.

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Macro modelling and homogenization for transformation induced plasticity of a low-alloy steel

Cited by 91 publications

References 36 publications

A constitutive model for analyzing martensite formation in austenitic steels deforming at high strain rates

A constitutive model for analyzing martensite formation in austenitic steels deforming at high strain rates

Simulation of a Hybrid‐Forming Process using Temperature‐ and Rate‐Dependent Viscoplastic Material Models

Multiphase model for transformation induced plasticity. Extended Leblond’s model

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