deformation compatibility
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Materials ◽  
2021 ◽  
Vol 14 (18) ◽  
pp. 5352
Author(s):  
Gui-Ying Qiao ◽  
Zhong-Tao Zhao ◽  
Xian-Bo Shi ◽  
Yi-Yin Shan ◽  
Gu Yu ◽  
...  

The strength and plasticity balance of F/B dual-phase X80 pipeline steels strongly depends on deformation compatibility between the soft phase of ferrite and the hard phase of bainite; thus, the tensile strength of ferrite and bainite, as non-negligible factors affecting the deformation compatibility, should be considered first. In this purely theoretical paper, an abstract representative volume elements (RVE) model was developed, based on the mesostructure of an F/B dual-phase X80 pipeline steel. The effect of the yield strength difference between bainite and ferrite on tensile properties and the strain hardening behaviors of the mesostructure was studied. The results show that deformation first occurs in ferrite, and strain and stress localize in ferrite prior to bainite. In the modified Crussard-Jaoul (C-J) analysis, as the yield strength ratio of bainite to ferrite (σy,B/σy,F) increases, the transition strain associated with the deformation transformation from ferrite soft phase deformation to uniform deformation of ferrite and bainite increases. Meanwhile, as the uncoordinated deformation of ferrite and bainite is enhanced, the strain localization factor (SLF) increases, especially the local strain concentration. Consequently, the yield, tensile strength, and yield ratio (yield strength/tensile strength) increase with the increase in σy,B/σy,F. Inversely, the strain hardening exponent and uniform elongation decrease.


Author(s):  
O. M. Ustarkhanov ◽  
Kh. M. Muselemov ◽  
Kh. M. Gapparov

Objective. In most cases, when determining the stress-deformed state of three-layer structures, it is assumed that bearing layers obey the Kirchhoff-Love hypothesis, while a filler obey the Neit (vanderNeit), or “broken line”, hypothesis. But in many cases, the results of our research show that this is not always accurate. Methods. It is proposed to solve the three-dimensional problem of determining the stress-deformed state of a three-layer structure using cubic functions of the law of aggregate deformation distribution along the normal line, obtained on the basis of the law of deformation compatibility at “filler – bearing layer” boundaries and the construction of boundary conditions in joint zones. Results. Equilibrium equations of a three-layer beam obtained on the basis of this hypothesis are shown in Table 1. The given partial differential equations are of the 12th order and we transformed them into homogeneous equations of the 1st order to simplify the solution. This solution is implemented using the mathematical modelling software package Mаple 5.4. Conclusion. The work of the filler in the direction of OX axis has a certain value, which affects the overall stress state of the three-layer structure (in existing hypotheses, it is zero).


2021 ◽  
Vol 174 ◽  
pp. 110940
Author(s):  
Qiuping Wang ◽  
Rongfeng Zhou ◽  
Jieren Guan ◽  
Chunjian Wang

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Gui-ying Qiao ◽  
Zhong-tao Zhao ◽  
Xian-bo Shi ◽  
Jun-si Wang ◽  
Fu-ren Xiao

To obtain high strength and excellent deformability for ferrite/bainite dual-phase (F/B DP) pipeline steel for gas pipelines based on strain-based design, the volume fractions of ferrite and bainite should be considered first. In this work, abstract representative volume elements (RVE) of finite element models (FEMs) of mesostructure for F/B DP pipeline steel with volume fractions of bainite between 30% and 58% were established, and the effects of volume fraction of bainite on the tensile properties and deformation compatibility were studied. Results show that the stress and strain in the mesostructure were primarily distributed in the bainite and ferrite, respectively, and strain concentration occurs at the ferrite/bainite interface. With increasing volume fractions of bainite, the strain localization factor (SLF) and strain ratio of ferrite with bainite ( ε F / ε B ) decrease, which can improve the deformation compatibility of the F/B DP pipeline steel. However, the stress ratio of bainite with ferrite ( σ B / σ F ) and the contributions of bainite to stress and strain sequentially increase, and, as a result, the strength increases and the ductility decreases. Therefore, a balance of strength and deformability can be obtained when the optimal volume fraction of bainite is in the range of 40% to 48%.


2020 ◽  
Vol 6 (39) ◽  
pp. eaba8169 ◽  
Author(s):  
Bo Gao ◽  
Qingquan Lai ◽  
Yang Cao ◽  
Rong Hu ◽  
Lirong Xiao ◽  
...  

Ultrastrong materials can notably help with improving the energy efficiency of transportation vehicles by reducing their weight. Grain refinement by severe plastic deformation is, so far, the most effective approach to produce bulk strong nanostructured metals, but its scaling up for industrial production has been a challenge. Here, we report an ultrastrong (2.15 GPa) low-carbon nanosteel processed by heterostructure and interstitial mediated warm rolling. The nanosteel consists of thin (~17.8 nm) lamellae, which was enabled by two unreported mechanisms: (i) improving deformation compatibility of dual-phase heterostructure by adjusting warm rolling temperature and (ii) segregating carbon atoms to lamellar boundaries to stabilize the nanolamellae. Defying our intuition, warm rolling produced finer lamellae than cold rolling, which demonstrates the potential and importance of tuning deformation compatibility of interstitial containing heterostructure for nanocrystallization. This previously unreported approach is applicable to most low-carbon, low-alloy steels for producing ultrahigh strength materials in industrial scale.


Materials ◽  
2020 ◽  
Vol 13 (16) ◽  
pp. 3612
Author(s):  
Zheng Zhang ◽  
Wen Huang ◽  
Guoxin Lu ◽  
Yongkang Zhang

Residual stress in structural components is crucial as it affects both service performance and safety. To investigate the evolution of residual stress in a laser-peen-formed panel, this study adopted two plate samples of thickness 3 and 9 mm instead of the conventional Almen strip. The two plates were peened with an identical energy density of 10.99 GW/cm2. The residual stress across the entire section was determined using a slitting method, and near-surface stress was then verified by X-ray diffraction. Furthermore, cross-sectional variation in hardness and microstructure were characterized to understand the residual stress evolution. The experimental results showed that different thicknesses resulted in distinct spatial distributions of residual stress. The 3-mm plate demonstrated a shallow (0.5 mm) and lower compressive stress magnitude (−270 MPa) compared with a deeper (1 mm) and higher compressive stress (−490 MPa) in the 9-mm plate. Further analysis revealed that the deformation compatibility during the forming process inevitably leads to a stress compensation effect on the peened side. The decrease in the depth and magnitude of the compressive residual stress in the thin plate was mainly attributed to low stiffness and large deflection.


2020 ◽  
Author(s):  
Xinbo Wang ◽  
Xuebin Zhu ◽  
Xiaobo Song ◽  
Di Wang ◽  
Qing Liu ◽  
...  

Abstract The main retarder of vehicle is gear rotor system, its vibration property is complex. The whole transfer matrix method is a new algorithm to study, relationship of the displacements and forces are established considering gyroscopic moment and coupling vibration. The meshing point between rotors is treated as coupling element, balance equations are estalished on deformation compatibility condition. The globe status vectors including forces and displacements of all shafts were integrated into a whole transfer matrix. So it can be programming and has high numerical stability and accuracy. The influence of the meshing effect on vibration of the system can be systematically studied. The status vectors such as displacements, deflection angles, torsion angles, shearing forces, bending moments and torques are no longer independent. The vibration property of the geared rotor system was calculated and analyzed. The numerical results revealed that many coupling critical rational speeds of the system are derived. vibration of main retarder can be improved.


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