مشخصات مقاله:
عنوان فارسی مقاله:
یک مدل سازنده برای فولادهای ساختاری مختلف با در نظر گرفتن رفتارهای هیستریک مشترک
عنوان انگلیسی مقاله:
A constitutive model for various structural steels considering shared hysteretic behaviors
سال انتشار مقاله:
2021
کلمات کلیدی مقاله:
مدل سازنده پدیدارشناختی، فولاد سازه ای، رفتارهای مشترک هیستریتیک، سطح مرز مجازی، انبساط تدریجی و انقباض موقتی، سطح مرزی
مناسب برای رشته های دانشگاهی زیر:
مهندسی عمران
مناسب برای گرایش های دانشگاهی زیر:
مدیریت ساخت و سازه
وضعیت مقاله انگلیسی و ترجمه:
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فهرست مطالب:
Abstract
Graphic abstracts
Keywords
1. Introduction
2. The motivation for the development of the new model
3. The constitutive model
3.1. Basic framework of the new model
3.2. The mathematically improved description of work-hardening stagnation
3.3. The discrete update formulation of the memory surface
3.4. The evolution rule of the radius of the boundary surface
3.4.1. The decomposition of the radius of the boundary surface
3.4.2. The evolution rule of the gradual boundary surface expansion in fixed memorized plastic strain range
3.4.3. The evolution rule of temporary contraction of boundary surface due to intermediately reverse plastic deformation
3.4.4. Additional consideration of the reduced hardening rate in re-yielding stage following intermediately reverse plastic deformation
3.4.5. The evolution rule of the amplified memorized strain range induced boundary surface expansion
3.5. The modified evolution rule of the elastic region based on the original YU model
4. Validation of proposed model based on the material testing data of three types of structural steels
4.1. Outlines of material testing on structural steels
4.2. Procedures of parameter calibration based on the characteristics of proposed model
4.3. The validation of proposed model and the comparison with two existing models
5. Conclusions
Author statement
Declaration of Competing Interest
Acknowledgement
References
قسمتی از مقاله انگلیسی:
1. Introduction
Accurate constitutive models are required to represent the response of structural steels under irregular loading histories similar to those produced by seismic loading. Moreover, in recent years there has been significant development in the area of high performance structural steels, including high-strength steels [1] and low yield point, high ductility steels [2]. Extensive experimental and theoretical investigations have revealed work-hardening modes including cyclic softening that are peculiar to these steels that constitutive models used for conventional steels are unable to capture [3–17]. As a result, a unified constitutive model for all types of structural steels is highly desirable. In this paper, a unified phenomenological constitutive model is proposed on the basis of different hysteretic behaviors that have been reported in literature for various types of steels, as well as those observed in experimental data obtained as part of this study. The Bauschinger effect is commonly noted in a multitude of cyclic tests on metallic materials, which is characterized by the reduced yield stress after the reverse plastic deformation. In the framework of the classical plasticity, represented by the theories of [18–31], this phenomenon is represented through the yielding function consisting of the backstress as well as the yield stress that indicates the kinematic hardening and the isotropic hardening respectively. Recently, extensive models are developed by incorporating a sophisticated dynamic recovery term in order to produce a better prediction of ratchetting effect [32–47]as well as the hysteric behavior [15,48–50]. In particular, to precisely describe the transient Bauschinger effect and the subsequent work-hardening stagnation, Yoshida and Uemori [16] developed a virtual boundary surface based on the conventional single surface model so that the advantages derived from a conventional Armstrong Frederick (AF) model [19] can be retained together with additional capacities of rigorously depicting the hardening stagnation. Similarly, as reported in the study accomplished by Ohno and Wang [51], the multisurface form of Model II was obtained based on the transformation proposed in the previous study [52], which is similar with the YU model in terms of the evolution rule of backstresses and accordingly shares the advantage of two surface model in prediction of cyclic stress-strain loops. Basically, the transient Bauschinger effect and subsequent work-hardening stagnation can be appropriately incorporated in both models by virtue of the notion of multisurface. With the collective consideration of the advantages and shortcomings of the popular existing models, this study formulates a constitutive model that also overcomes convergence problems along with the advantages in the precise prediction of hysteretic loop.