Uniaxial Mechanical Behavior of 316LN Stainless Steel Based on Crystal Plasticity Finite Element Method

doi:10.12068/j.issn.1005-3026.2024.06.012

Abstract

Abstract:

To describe the uniaxial mechanical behavior of 316LN stainless steel more accurately， a polycrystalline cyclic plasticity constitutive model is constructed based on the Ahmadzadeh-Varvani （A-V） kinematic hardening rule in the framework of the rate?dependent crystal plasticity theory. The constitutive model is implemented to the finite element software ABAQUS through the UMAT， and a two?dimensional polycrystalline finite element model is established through Voronoi diagrams. And then the deformation behavior of 316LN stainless steel is simulated under different loading rates， strain cycles and asymmetric stress cycles， respectively. The simulated results compared with the experimental data show that under the uniaxial tensile condition， the stress errors of both fluctuate around±0.9%， and the maximum stress error is only 1.9%； under the strain cycle condition， the maximum stress error between the two appears in the 5th cycle， with 11.4% and 12.2% errors in the tensile and compression phases， respectively， and 7.4% and 7.9% errors in the tensile and compression phases， respectively， after cycle stabilization. Under the asymmetric stress cycle condition， the errors of both mainly appear in the hysteresis loop width， the simulated hysteresis loop width is narrower， but the error of the hysteresis loop evolution trend is smaller.

Key words: crystal plasticity theory, A-V kinematic hardening rule, saturation hardening rule, Voronoi diagram, ratcheting effect

CLC Number:

TB 302.3

Xiao-hui CHEN, Tian-xiang CHEN, Lin ZHU, Lang LANG. Uniaxial Mechanical Behavior of 316LN Stainless Steel Based on Crystal Plasticity Finite Element Method[J]. Journal of Northeastern University(Natural Science), 2024, 45(6): 843-849.

Figures/Tables 7

Fig.1 Two?dimensional polycrystalline finite element model and boundary conditions

Table 1 Crystal constitutive model parameters

参数	值
$E$ /GPa	195
$v$	0.37
$n$	6.8
$k$ /MPa	48
$C$	4 200
$v 1$	130
$v 2$	10
$δ$	0.6
$g 0$ /MPa	64
$h s$ /MPa	25
$g s$ /MPa	420

Table 1 Crystal constitutive model parameters

参数	值
$E$ /GPa	195
$v$	0.37
$n$	6.8
$k$ /MPa	48
$C$	4 200
$v 1$	130
$v 2$	10
$δ$	0.6
$g 0$ /MPa	64
$h s$ /MPa	25
$g s$ /MPa	420

Fig.2 Uniaxial tensile simulation at different

Fig.3 Stress and strain nephograms after uniaxial tensile

Fig.4 Results of symmetrical strain cycle under strain amplitude ±1%

Fig.5 Stress?strain hysteresis curve

Fig.6 Ratcheting strain evolution rate

References 18

1	Lin Q， Chen X， Zheng Y M，et al.Multiaxial isothermal and thermomechanical fatigue behavior of 316LN stainless steel［J］.International Journal of Pressure Vessels and Piping，2022，197：104-633.
2	Tan J B， Wu X Q， Han E H，et al.Strain‑rate dependent fatigue behavior of 316LN stainless steel in high‐temperature water［J］.Journal of Nuclear Materials，2017，489：33-41.
3	American Society Mechanical Engineers. ASME boiler and pressure vessel code section III ［S］.New York：［s.n］，2004.
4	Li B B， Zheng Y M， Zhao J W，et al.Cyclic deformation behavior and dynamic strain aging of 316LN stainless steel under low cycle fatigue loadings at 550 ℃［J］.Materials Science & Engineering：A，2021，818：141411.
5	Hong C， Chen T， Li Z H，et al.Uniaxial ratcheting behavior and molecular dynamics simulation evaluation of 316LN stainless steel［J］.Materials Science & Engineering：A，2022，849：143535.
6	Kang G Z， Bruhns O T， Sai K.Cyclic polycrystalline visco‑plastic model for ratchetting of 316L stainless steel［J］.Computational Materials Science，2011，50（4）：1399-1405.
7	郭宁.高锰钢塑性变形机制的晶体塑性建模研究及应用［D］.北京：北京科技大学，2018.
	Guo Ning.Crystal plasticity modeling of plastic deformation mechanism for high manganese steel and its application［D］.Beijing：University of Science and Technology Beijing，2018.
8	Samal M K.Simulation of material stress‑strain curve and creep deformation response of nickel based superalloys using crystal plasticity based finite element models［J］.Transactions of the Indian Institute of Metals，2016，69（4）：949-960.
9	Feather W G， Lim H， Knezevic M.A numerical study into element type and mesh resolution for crystal plasticity finite element modeling of explicit grain structures［J］.Computational Mechanics，2021，67：33-55.
10	韩小寒.含粗大晶粒的316LN不锈钢微区变形不均匀性的实验与模拟研究［D］.上海：上海交通大学，2019.
	Han Xiao‑han.Study of experiment and simulation on deformation heterogeneity in microregion of 316LN stainless steel with coarse grains［D］.Shanghai：Shanghai Jiao Tong University，2019.
11	Ahmadzadeh G R， Varvani‑Farahani A.Ratcheting assessment of materials based on the modified Armstrong‑Frederick hardening rule at various uniaxial stress levels［J］.Fatigue & Fracture of Engineering Materials & Structures，2013，36（12）：1232-1245.
12	于敦吉.奥氏体不锈钢循环塑性的微观机理和宏观本构描述［D］.天津：天津大学，2014.
	Yu Dun‑ji.A study of micro‑mechanisms and macro‐constitutive modeling of the cyclic plasticity of austenitic stainless steels［D］.Tianjin：Tianjin University，2014.
13	Kalidindi S R.Modeling anisotropic strain hardening and deformation textures in low stacking fault energy FCC metals［J］.International Journal of Plasticity，2001，17（6）：837-860.
14	Zhou D W， Wang X W， Wang R Z，et al.An extended crystal plasticity model to simulate the deformation behaviors of hybrid stress‑strain controlled creep‑fatigue interaction loading［J］.International Journal of Fatigue，2022，156：106680.
15	司良英，邓关宇，吕程，等.基于Voronoi图的晶体塑性有限元多晶几何建模［J］.材料与冶金学报，2009，8（3）：193-197，216.
	Si Liang‑ying， Deng Guan‑yu， Cheng Lyu，et al.Polycrystal geometry modeling of crystal plasticity finite element method with voronoi diagram［J］.Journal of Materials and Metallurgy，2009，8（3）：193-197，216.
16	张旭，王旻嘉，康国政，等.基于晶体塑性有限元的多晶铜力学行为研究［J］.北京理工大学学报，2014，34（sup1）：86-89.
	Zhang Xu， Wang Min‑jia， Kang Guo‑zheng，et al.Mechanical behavior of polycrystal copper based on crystal plasticity finite element method［J］.Transactions of Beijing Institute of Technology，2014，34（sup1）：86-89.
17	罗娟.基于晶体塑性理论的多晶循环本构模型及其有限元实现［D］.成都：西南交通大学，2014.
	Luo Juan.Crystal plasticity based polycrystalline cyclic constitutive model and its finite element implementation［D］.Chengdu：Southwest Jiaotong University，2014.
18	Armstrong P J， Frederick C O.A mathematical representation of the multiaxial Bauschinger effect［J］.Materials at High Temperature，2007，24（1）：1-26．

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