Transformation plasticity at different phase transformation of a through hardening bearing steel

Dalgic, M.; Irretier, A.; Zoch, H.‐W.; Löwisch, G.

doi:10.1504/ijmmp.2008.016943

Cited by 10 publications

(16 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The system of equations used for numerical calculation is: (18) where k is the element of stiffness matrix, u is the vector of nodal displacement, t…”

Section: Model Of Thermo-elasto-plastic Stress and Strainmentioning

confidence: 99%

“…Therefore, in the modeling of mechanical phenomena the use of the models of elastic-plastic materials is required. Additionally, to ensure the reliability of the results of numerical simulations of mechanical phenomena, except thermal, structural and plastic strains the transformation induced plasticity should be taken into account [3,[12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Numerical Analysis of the Phenomena of Superficial Hardening of the Hot-Work Tool Steel Elements / Analiza Numeryczna Zjawisk Przypowierzchniowego Hartowania Elementów Ze Stali Narzędziowej Do Pracy Na Gorąco

Bokota¹,

Kulawik²,

Szymczyk³

et al. 2015

Archives of Metallurgy and Materials

View full text Add to dashboard Cite

The numerIcal analysIs of The phenomena of superfIcIal hardenIng of The hoT-work Tool sTeel elemenTs analIza numeryczna zjawIsk przypowIerzchnIowego harTowanIa elemenTów ze sTalI narzędziowej do pracy na gorącoIn the paper the complex model of hardening of the hot-work tool steel is presented. Model of estimation of phase fractions and their kinetics is based on the continuous heating diagram (CHT) and cooling diagram (CCT). Phase fractions which occur during the continuous heating and cooling (austenite, pearlite or bainite) are described by Johnson-Mehl (JM) formula. To determine of the formed martensite the modified koistinen-Marburger (kM) equation is used. Model takes into account the thermal, structural, plastic strains and transformation plasticity. To calculate the plastic strains the Huber-Mises plasticity condition with isotopic hardening is used. whereas to determine transformations induced plasticity the Leblond model is applied. The numerical analysis of phase compositions and residual stresses in the hot-work steel (w360) element is considered.

show abstract

“…The system of equations used for numerical calculation is: (18) where k is the element of stiffness matrix, u is the vector of nodal displacement, t…”

Section: Model Of Thermo-elasto-plastic Stress and Strainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Numerical Analysis of the Phenomena of Superficial Hardening of the Hot-Work Tool Steel Elements / Analiza Numeryczna Zjawisk Przypowierzchniowego Hartowania Elementów Ze Stali Narzędziowej Do Pracy Na Gorąco

Bokota¹,

Kulawik²,

Szymczyk³

et al. 2015

Archives of Metallurgy and Materials

View full text Add to dashboard Cite

show abstract

“…Frequently the elastic part is neglected, especially for a constant stress S during phase changes (cf. [3,10], e.g.). Otherwise, p must be determined via (3.6).…”

Section: Wwwzamm-journalorgmentioning

confidence: 99%

An implicit algorithm to verify creep and TRIP behavior of steel using uniaxial experiments

et al. 2012

View full text Add to dashboard Cite

Creep is a complex material feature occurring in mechanical structures under moderate stresses and relatively high temperatures. Transformation-induced plasticity (TRIP) is a macroscopic phenomenon of steel behavior. If phase transformations occur under deviatoric stress, a permanent inelastic strain is obtained even if the yield stress is not reached. Thus, creep and TRIP do not have a yield stress like plasticity and visco-plasticity. Sometimes, during heat treatment of steel, creep and TRIP appear together. In order to determine creep or TRIP behavior it is necessary to verify concrete material laws and to determine corresponding material parameters. For this reason, often uniaxial experiments with small probes are performed in special devices. It is the main purpose of this study, to develop a procedure for the verification of possible laws for creep and TRIP and for determining material parameters, using experimental data. Therefore, an implicit algorithm in two variants will be developed: strain-driven and stress-driven. These algorithms can also be applied to simulations of (spatially homogenous) uniaxial experiments. Based on these algorithms, an optimization scheme will be developed for finding material parameters which realize a best approximation. Finally, the developed procedure will be applied for the investigation of creep and TRIP during heating of the bearing steel 100Cr6 (SAE 52100). Let the evolution equation for ξ bė( 2.22) Differentiating (2.21) with respect to time t and inserting (2.22), one gets (2.17).

show abstract

“…The two thermomechanical models presented here are able to take into account the initiation and development of these TSTs, especially in the immediate vicinity of the top of the rails on which the trains run (see [19]), based on the main assumption that the friction occurring in the wheel/rail contact area -where the thermal effects are considerable -is strongly associated with the mechanical loading mainly applied, i.e., that TSTs are due to thermomechanical coupling processes (see [17,20]). During the solid-solid phase transformations which occur under mechanical loads, an "anomalous" plastic flow, which is also known as TRIP (transformation-induced plasticity) (see [21][22][23][24][25]), generally occurs even at much lower stress levels than the initial yield stress (the softest phase) of the material in question. Indeed, this TRIP-like mechanism can be superimposed on the classical plasticity behaviour which are always present in metallic materials.…”

Section: Introductionmentioning

confidence: 99%

Return Mapping Algorithms (RMAs) for Two-Yield Surface Thermoviscoplastic Models Using the Consistent Tangent Operator

Lebon

Antoni

Désoyer

2018

International Journal of Nonlinear Sciences and Numerical Simulation

View full text Add to dashboard Cite

The return mapping algorithms (RMAs) presented here are designed for use with pressure-dependent thermoviscoplastic constitutive models involving irreversible effects associated with solid–solid phase transformations. During the volume solid–solid phase transformations occurring under mechanical loads, an “anomalous” plasticity, the so-called “TRansformation Induced Plasticity” (TRIP), is generated at much lower stress levels than those related to the yield stress of the material in the context of the classical plasticity. TRIP mechanisms are superimposed on the classical plasticity which is liable to occur in the case of metallic materials. Based on a non-standard generalized material framework, two different models are presented in which an “associative” plastic flow is introduced in the context of classical plasticity and a “non-associative” flow rule in the context of TRIP-like plasticity. In this paper, a complete algorithmic treatment of these two rate-dependent constitutive models is therefore proposed with the associated consistent tangent operator for dealing the quasi-surface irreversible solid–solid transformations which can appear in metal alloys during specific thermomechanical solicitations. The predictive abilities of the presented numerical procedure for modelling this kind of the irreversible solid–solid transformations involving two plasticity processes are tested and assessed by performing a two-dimensional finite-element analysis on some numerical examples.

show abstract

Transformation plasticity at different phase transformation of a through hardening bearing steel

Cited by 10 publications

References 17 publications

The Numerical Analysis of the Phenomena of Superficial Hardening of the Hot-Work Tool Steel Elements / Analiza Numeryczna Zjawisk Przypowierzchniowego Hartowania Elementów Ze Stali Narzędziowej Do Pracy Na Gorąco

The Numerical Analysis of the Phenomena of Superficial Hardening of the Hot-Work Tool Steel Elements / Analiza Numeryczna Zjawisk Przypowierzchniowego Hartowania Elementów Ze Stali Narzędziowej Do Pracy Na Gorąco

An implicit algorithm to verify creep and TRIP behavior of steel using uniaxial experiments

Return Mapping Algorithms (RMAs) for Two-Yield Surface Thermoviscoplastic Models Using the Consistent Tangent Operator

Contact Info

Product

Resources

About