A thermo-viscoplastic constitutive model to predict elevated-temperature flow behaviour in a titanium-modified austenitic stainless steel

Samantaray, Dipti; Mandal, Sumantra; Borah, Utpal; Bhaduri, A.K.; Sivaprasad, P.V.

doi:10.1016/j.msea.2009.08.009

Cited by 174 publications

(100 citation statements)

References 29 publications

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“…C and m are the material constants that represent the coefficient of strain rate hardening and thermal softening exponent, respectively. Using the material constants summarized in Table 2, flow stress at various deformation conditions for alloy D9 [43] and modified 9Cr-1Mo [44] was evaluated. The predictability of the constitutive equation is quantified employing standard statistical parameters such as correlation coefficient (R) and average absolute relative error (').…”

Section: Johnson Cook (Jc) Modelmentioning

confidence: 99%

An overview on constitutive modelling to predict elevated temperature flow behaviour of fast reactor structural materials

Samantaray

Mandal

Bhaduri

et al. 2010

Trans Indian Inst Met

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This overview emphasized the aspects of formulation and application of various constitutive models developed by us in recent past viz. JohnsonCook (JC), modified Zerilli-Armstrong (MZA), strain compensated Arrhenius type model and artificial neural network (ANN) model to predict elevated temperature flow behaviour of fast reactor structural materials. It has been shown that the JC model is not able to represent the high temperature flow behaviour of both alloy D9 and the modified 9Cr-1Mo as it does not incorporate the coupled effect of strain and temperature, and of strain rate and temperature. The new materials model based on Zerilli-Armstrong (ZA) equation considers the coupled effects of temperature and strain and of strain rate and temperature on the flow stress and hence has the capability to predict flow stress over a wider domain temperature and strain rate in comparison with JC model. The formulation and application of strain compensated Arrhenius type constitutive model to predict high temperature flow behaviour of alloy D9 and modified 9Cr-1Mo has been discussed. Development and application of a generic ANN based constitutive model to predict high temperature deformation behaviour of austenitic stainless steels has been highlighted. Finally, a comparative analysis of the merits and shortcomings of these models has been made.

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Section: Johnson Cook (Jc) Modelmentioning

confidence: 99%

An overview on constitutive modelling to predict elevated temperature flow behaviour of fast reactor structural materials

Samantaray

Mandal

Bhaduri

et al. 2010

Trans Indian Inst Met

Self Cite

View full text Add to dashboard Cite

show abstract

“…They are given as below: Also, it is not appropriate to apply the ZA model at temperatures above the half of the melting temperature of materials [2]. In order to overcome these barriers, the reference condition has been introduced into the original ZA model for FCC structured metals and alloys and succeeded in using this modified model to predict the mechanical behaviour of a titanium-modified austenitic stainless steel [157] and a modified 9Cr-1Mo steel [158] at low strain rates at elevated temperatures. He et al…”

Section: Zerilli-armstrong Modelmentioning

confidence: 99%

“…For the Ti6554 alloy, ρ=4670 kg/m 3 , c=550 J kg/K. The integral can be calculated by introducing the constitutive relation (modified Zerilli-Armstrong model [157]) shown in equation (2) into equation (1).…”

Section: Temperature Estimation Within the Asbmentioning

confidence: 99%

“…Also, it is not valid to use the ZA model for temperatures above half of the melting temperature of the materials [155]. In order to overcome these barriers, Dipti et al introduced the reference condition into the ZA model and succeeded in using this modified model to predict the mechanical behaviour of a titanium-modified austenitic stainless steel [157] and a modified 9Cr-1Mo steel [158] at low strain rates and elevated temperatures. However, there is still an uncertainty that if this modified version can be used within the high strain rate domain.…”

Section: Microstructures In the Outermentioning

confidence: 99%

“…C 1 , C 2 , C 3 , C 4 , C 5, C 6 and n are seven parameters of the modified ZA model. The rationale for the modifications to the ZA model were described in detail in [157] and [158]. The procedures to determine the parameters for the modified ZA model are illustrated below:…”

Section: Modified Za Modelmentioning

confidence: 99%

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The dynamic response of β titanium alloys to high strain rates at room and elevated temperatures

Zhan¹

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Titanium and its alloys fulfil a wide range of applications involving aerospace, biomedical, chemical and petroleum industries due to their extraordinary properties such as high specific strength, excellent biocompatibility and corrosion resistance. Among different types of titanium alloys, β titanium alloys have a unique range of properties such as an excellent combination of high strength and fracture toughness and low Young's modulus. Therefore, the usage of β titanium alloys in the manufacturing of some key components in aerospace and biomedical industries has continually increased in the past decade.Nowadays many commercial manufacturing processes for metallic materials such as machining, explosive welding, hot forging and extrusion employ high strain rates and are conducted at elevated temperatures. Also, high-strain-rate deformation can be encountered in collisions such as in car crashes, bird strikes on airplanes and micrometeorite impacts on space structures. Hence a large number of studies have been conducted on the dynamic response of metallic materials including copper, steels, tantalum, Ti-6Al-4V alloy and commercially pure titanium to high strain rates. Due to limited knowledge of the dynamic behaviour of β titanium alloys, this thesis mainly investigates the stress-strain behaviour and microstructural evolution of β titanium alloys under high strain rates at room and elevated temperatures.Split Hopkinson Pressure Bar compressive tests were carried out on two new types of β titanium alloys with different levels of β phase stability, the Ti-6Cr-5Mo-5V-4Al (wt. %) and Ti-25Nb-3Zr-3Mo-2Sn (wt.%) alloys, at strain rates ranging from 10 -3 s -1 to 10 4 s -1 and temperatures ranging from 293K to 1173K. The Ti-6Cr-5Mo-5V-4Al alloy, with relatively high β phase stability, represents an alloy type which can be engineered through heat treatment or thermo-mechanical processing to achieve a superior combination of strength and fracture toughness. While the Ti-25Nb-3Zr-3Mo-2Sn alloy with relatively low β phase stability represents an alloy type which can be applied in biomedical applications due to their low Young's modulus and superelastic properties.For the Ti-6Cr-5Mo-5V-4Al alloy, dislocation slip is dominant at all testing strain rates and temperatures in this research. The flow stress increases with increasing strain rate but decreasing temperature. Also, it is more sensitive to temperature than strain rate. At ambient temperatures, the strain hardening rate exhibited by the Ti-6Cr-5Mo-5V-4Al alloy at high strain rates is much lower than that at quasi-static strain rates, which is attributed to the thermal softening effect brought byHongyi Zhan II The University of Queensland adiabatic heating. While for the Ti-25Nb-3Zr-3Mo-2Sn alloy, multiple deformation mechanisms including dislocation slip, {332} <113> and {112} <111> mechanical twinning, stress-induced martensitic α" and ω phase transformations can be activated simultaneously and among them {332} <113> twinning is dominant at 293K regardless of...

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Processing Map Development through Elaborating Phenomenological and Physical Constitutive Based Models

2015

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This study was conducted to develop a new method for constructing the processing maps. Using hot compression testing method at various temperature and strain rates, the experimental flow stress data were employed to build the activation energy map, strain rate sensitivity map, and finally the processing maps. In an alternative approach, the extracted constitutive models were utilized to develop the power efficiency and instability maps. It is found that the sinh-based model would predict the unsafe regions of hot working conditions in a way more consistent with the experimental based prediction one in contrast with optimistic predictions of the Zerilli-Armstrong processing maps. All findings were further verified through examination of the obtained thermomechanically processed microstructures. 14395, Iran

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A thermo-viscoplastic constitutive model to predict elevated-temperature flow behaviour in a titanium-modified austenitic stainless steel

Cited by 174 publications

References 29 publications

An overview on constitutive modelling to predict elevated temperature flow behaviour of fast reactor structural materials

An overview on constitutive modelling to predict elevated temperature flow behaviour of fast reactor structural materials

The dynamic response of β titanium alloys to high strain rates at room and elevated temperatures

Processing Map Development through Elaborating Phenomenological and Physical Constitutive Based Models

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