A modified constitutive model based on Arrhenius-type equation to predict the flow behavior of Fe-36%Ni Invar alloy

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Articles

Contributing Editor: Michael E. McHenry

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INTRODUCTION

It is well known that the hot deformation processes (forging, rolling, and extruding et al.) of metals and alloys are extremely complex and regarded as a crucial part in the industrial production.^1-3In this context, a considerable amount of research has been devoted to acquire the accurate predictability of the material models to simulate the deformation process. Moreover, the modeling of hot deformation behavior is generally established through the constitutive equations. Accordingly, a number of constitutive models have occurred through hot compressive or tensile experiments to clarify the relationship between the flow stress and deformation parameters (i.e., temperatures and strain rates) for different metals and alloys so as to better guide the hot working process.^4-7

According to recent research, Samantaray et al.⁸carried out a study to compare the predictability of Johnson-Cook (JC), modified Zerilli-Armstrong (ZA) and strain-compensated Arrhenius-type constitutive models for the flow behavior of 9Cr-1Mo steel, and eventually found that Arrhenius-type constitutive models revealed a higher prediction accuracy than the other models in the hot working domain. Abbasi-Bani et al.⁹introduced two phenomenological constitutive equations (Johnson Cook and Arrhenius-type ones) to depict the high temperature flow behavior of Mg-6Al-1Zn alloy during hot compression tests, and also concluded that the Arrhenius-type equations were more reliable for the material deformation process. Same as above, the investigations of the flow behavior of Al-0.62Mg-0.73Si aluminum alloy¹⁰and ferritic stainless steel¹¹still proved the prediction capability of the Arrhenius-type model was stronger than the Johnson-Cook model. Furthermore, a modified Arrhenius-type constitutive equation considering the effect of strain on material constant was developed under hot deformation conditions to describe the flow stress of different materials, such as Ti-20Zr-6.5Al-4V alloy,¹²aluminum alloy (AA2030 alloy,¹³Al-Zn-Mg-Cu alloy,¹⁴and AA6N01 alloy¹⁵), magnesium alloy (AZ81 alloy,¹⁶AZ31B alloy,¹⁷and Mg-4Li-1Al alloy¹⁸), 17%Cr ferritic stainless steel,¹⁹AISI 420 stainless steel,²⁰Fe-21Mn-2.5Si-1.5Al steel,²¹Nb-Ti micro alloyed steel,²²and Nickel-based corrosion-resistant alloy (N08028).²³Additionally, based on modified Zerilli-Armstrong model, a thermo-viscoplastic constitutive model was proposed by Samantaray et al.²⁴and used to successfully describe the flow behavior...