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FLOW STRESS MODELING FOR AERONAUTICAL ALUMINUM ALLOY 7050-T7451 IN HIGH-SPEED CUTTING 被引量:15
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作者 付秀丽 艾兴 +1 位作者 万熠 张松 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2007年第2期139-144,共6页
The high temperature split Hopkinson pressure bar (SHPB) compression experiment is conducted to obtain the data relationship among strain, strain rate and flow stress from room temperature to 550 C for aeronautical ... The high temperature split Hopkinson pressure bar (SHPB) compression experiment is conducted to obtain the data relationship among strain, strain rate and flow stress from room temperature to 550 C for aeronautical aluminum alloy 7050-T7451. Combined high-speed orthogonal cutting experiments with the cutting process simulations, the data relationship of high temperature, high strain rate and large strain in high-speed cutting is modified. The Johnson-Cook empirical model considering the effects of strain hardening, strain rate hardening and thermal softening is selected to describe the data relationship in high-speed cutting, and the material constants of flow stress constitutive model for aluminum alloy 7050-T7451 are determined. Finally, the constitutive model of aluminum alloy 7050-T7451 is established through experiment and simulation verification in high-speed cutting. The model is proved to be reasonable by matching the measured values of the cutting force with the estimated results from FEM simulations. 展开更多
关键词 high-speed cutting flow stress models SHPB compression experiment FEM simulation
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Establishment and application of flow stress models of Mg-Y-MM-Zr alloy
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作者 马鸣龙 李兴刚 +4 位作者 李永军 何兰强 张奎 王献文 陈丽芳 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2011年第4期857-862,共6页
The hot working behaviors of Mg-9Y-1MM-0.6Zr (WE91) magnesium alloy were researched in a temperature range of 653 773 K and strain rate range of 0.001 1 s 1 on Gleeble 1500D hot simulator under the maximum deformati... The hot working behaviors of Mg-9Y-1MM-0.6Zr (WE91) magnesium alloy were researched in a temperature range of 653 773 K and strain rate range of 0.001 1 s 1 on Gleeble 1500D hot simulator under the maximum deformation degree of 60%. A mathematical model was established to predict the stress—strain curves of this alloy during deformation. The experimental results show that the relationship between stress and strain is obviously affected by the strain rates and deformation temperatures. The flow stress of WE91 magnesium alloy during high temperature deformation can be represented by Zener-Hollomon parameter in the hyperbolic Arrhenius-type equation, and the stress—strain curves obtained by the established model are in good agreement with the experimental results,which prove that the model reflects the real deformation characteristics of the WE91 alloy. The average deformation activation energy is 220 kJ/mol at strain of 0.1. The microstructures of WE91 during deformation processing are influenced by temperature and strain rates. 展开更多
关键词 rare-earth magnesium alloy Zener-Hollomon parameter flow stress model microstructure
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A FLOW STRESS MODEL FOR AZ61 MAGNESIUM ALLOY 被引量:9
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作者 H.T.Zhou X.Q.Zeng +1 位作者 Q.D Wang W.J.Ding State Key Laboratory of Metal Matrix Composite,Shanghai Jiaotong University,Shanghai 200030,China 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2004年第2期155-160,共6页
The flow stress behaviors of AZ61 alloy has been investigated at temperature rangefrom 523 to 673K with the strain rates of 0.001-1s^(-1). It is found that the averageactivation energy, strain rate sensitive exponent ... The flow stress behaviors of AZ61 alloy has been investigated at temperature rangefrom 523 to 673K with the strain rates of 0.001-1s^(-1). It is found that the averageactivation energy, strain rate sensitive exponent and stress exponent are different atvarious deformation conditions changing from 143.6 to 176.3kJ/mol, 0.125 to 0.167and 6 to 8 respectively. A flow stress model for AZ61 alloy is derived by analyzingthe stress data based on hot compression test. It is demonstrated that the flow stressmodel including strain hardening exponent and strain softening exponent is suitableto predicate the flow stress. The prediction of the flow stress of AZ61 alloy has shownto be good agreement with the test data. The maximum differences of the peak stressescalculated by the model and obtained by experiment is less than 8%. 展开更多
关键词 magnesium alloy flow stress model hot deformation straion softening
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FLOW STRESS MODEL FOR HARD MACHINING OF AISI H13 WORK TOOL STEEL
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作者 H. Yan J. Hua R. Shivpuri 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2005年第6期741-748,共8页
An approach is presented to characterize the stress response of workpiece in hard machining, accounted for the effect of the initial workpiece hardness, temperature, strain and strain rate on flow stress. AISI H13 wor... An approach is presented to characterize the stress response of workpiece in hard machining, accounted for the effect of the initial workpiece hardness, temperature, strain and strain rate on flow stress. AISI H13 work tool steel was chosen to verify this methodology. The proposed flow stress model demonstrates a good agreement with data collected from published experiments. Therefore, the proposed model can be used to predict the corresponding flow stress-strain response of AISI H13 work tool steel with variation of the initial workpiece hardness in hard machining. 展开更多
关键词 flow stress model hard machining AISI H13 work tool steel
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A new flow stress model based on Arrhenius equation to track hardening and softening behaviors of Ti6Al4V alloy 被引量:9
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作者 Fu-Hui Zhu Wei Xiong +1 位作者 Xi-Feng Li Jun Chen 《Rare Metals》 SCIE EI CAS CSCD 2018年第12期1035-1045,共11页
The conventional Arrhenius-type model was adopted to identify the deformation characteristic of Ti6 A14 V(TC4) titanium alloy based on the stress-strain curves of isothermal compression test. A new flow stress model b... The conventional Arrhenius-type model was adopted to identify the deformation characteristic of Ti6 A14 V(TC4) titanium alloy based on the stress-strain curves of isothermal compression test. A new flow stress model based on Arrhenius equation was proposed for TC4,which is composed of peak flow stress(PFS) prediction and strain compensation. The predicted PFS is set as a reference to derive the flow stress model at any strain ranging from approximately 0 to 0.7. The predictability and efficiency among the proposed model, conventional model,and an existing physical-based model of TC4 were comparatively evaluated. It is found that the newly proposed model can simultaneously track the hardening and softening behaviors of TC4 through a single expression while the other existing models are only valid in the softening region.Besides, the wider application range and acceptable accuracy of the new model have been achieved by fewer material constants with much-simplified modeling procedure than the other models. 展开更多
关键词 flow stress model Arrhenius equation Hot deformation flow behavior Titanium alloy
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New approach for modeling flow stress of aluminum alloy 6A10 considering temperature variation
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作者 李雪松 伍来智 +1 位作者 陈军 张鸿冰 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2010年第8期1482-1487,共6页
The flow stress behavior of aluminum alloy 6A10 was studied by the hot compression tests at temperatures from 350℃ to 550 ℃ and strain rates from 0.1 s^-1 to 10 s^-1 with Gleeble-1500 thermo-mechanical simulator. Th... The flow stress behavior of aluminum alloy 6A10 was studied by the hot compression tests at temperatures from 350℃ to 550 ℃ and strain rates from 0.1 s^-1 to 10 s^-1 with Gleeble-1500 thermo-mechanical simulator. The result demonstrates that the temperatures of specimen differ from initial ones affected by deformation conditions, and that the softening mechanism is dynamic recovery. A new approach was proposed to analyze the flow stress character directly from actual stress, strain, temperature and strain rate data, without performing any previous flow stress correction caused by temperature variation. Comparisons between the experimental and predicted results confirm that the established flow stress model can give reasonable estimation, indicating that the mentioned approach can be used in flow stress model analysis of the materials that undergo only dynamic recovery based on the data obtained under variable deformation temperature. 展开更多
关键词 aluminum alloy 6A10 flow stress model dynamic recovery
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Explicit Algebraic Stress Model for Three-Dimensional Turbulent Buoyant Flows Derived Using Tensor Representation
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作者 Ronald M. C. So 《Journal of Applied Mathematics and Physics》 2022年第4期1167-1181,共15页
An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant ... An explicit algebraic stress model (EASM) has been formulated for two-dimensional turbulent buoyant flows using a five-term tensor representation in a prior study. The derivation was based on partitioning the buoyant flux tensor into a two-dimensional and a three-dimensional component. The five-term basis was formed with the two-dimensional component of the buoyant flux tensor. As such, the derived EASM is limited to two-dimensional flows only. In this paper, a more general approach using a seven-term representation without partitioning the buoyant flux tensor is used to derive an EASM valid for two- and three-dimensional turbulent buoyant flows. Consequently, the basis tensors are formed with the fully three-dimensional buoyant flux tensor. The derived EASM has the two-dimensional flow as a special case. The matrices and the representation coefficients are further simplified using a four-term representation. When this four-term representation model is applied to calculate two-dimensional homogeneous buoyant flows, the results are essentially identical with those obtained previously using the two-dimensional component of the buoyant flux tensor. Therefore, the present approach leads to a more general EASM formulation that is equally valid for two- and three-dimensional turbulent buoyant flows. 展开更多
关键词 Explicit Algebraic stress model Buoyant flows Tensor Representation
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Research on flow stress in ferrite deformation of a Ti-IF steel 被引量:1
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作者 Guang Xu Chushao Xu +1 位作者 Jiarong Zhao Xianjun Liu 《Journal of University of Science and Technology Beijing》 CSCD 2006年第1期34-36,共3页
The experiments of the ferrite warm deformation of ultra-low carbon (ULC) Ti-IF steel were carded out on a hot simulator and the influences of deformation temperature, strain, and strain rate on the flow stress were... The experiments of the ferrite warm deformation of ultra-low carbon (ULC) Ti-IF steel were carded out on a hot simulator and the influences of deformation temperature, strain, and strain rate on the flow stress were analyzed. New flow stress models suitable to ferrite warm forming of Ti-IF steel were given on the basis of analyzing the influence of deformation technology parameters on the flow stress. 展开更多
关键词 ULC Ti-IF steel ferrite deformation flow stress model
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COMPUTATION OF RECIRCULATING SWIRLING FLOW WITH THE GLM REYNOLDS STRESS CLOSURE 被引量:1
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作者 符松 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1994年第2期110-120,共11页
A Reynolds stress closure based on the generalized Langevin model (GLM), developed by Haworth and Pope, is applied to the flow calculation with swirl-induced recirculation. The purpose of the work is to assess the per... A Reynolds stress closure based on the generalized Langevin model (GLM), developed by Haworth and Pope, is applied to the flow calculation with swirl-induced recirculation. The purpose of the work is to assess the performance of this model under the complex flow conditions caused by the presence of strong swirl which gives rise to both unconventional recirculation in the vicinity of the symmetry axis and strong anisotropy in the turbulence field. Comparison of the computational results are made both with the experimental data of Roback and Johnson and the computational results obtained with the typical isotropization of production model (IPM) and the k-∈ type Boussinesq viscosity model. 展开更多
关键词 swirling flow turbulence modelling Reynolds stresses generalized Langevin model probability-density function
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Development of Flow Stress of AISI H13 Die Steel in Hard Machining 被引量:2
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作者 闫洪 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2007年第2期187-190,共4页
An approach was presented to characterize the stress response of workpiece in hard machining, accounting for the effect of the initial workpiece hardness in addition to temperature, strain and strain rate on flow stre... An approach was presented to characterize the stress response of workpiece in hard machining, accounting for the effect of the initial workpiece hardness in addition to temperature, strain and strain rate on flow stress in this paper. AISI H13 die steel was chosen to verify this methodology. The proposed flow stress model demonstrates a good agreement with experimental data. Therefore, the proposed model can be used to predict the corresponding flow stress-strain response ofAISl H13 die steel with variation of the initial workpiece hardness in hard machining. 展开更多
关键词 flow stress hard machining finite element modeling AISI H13 die steel
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Simulation of Average Turbulent Pipe Flow: A Three-Equation Model
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作者 Khalid Alammar 《Open Journal of Fluid Dynamics》 2014年第1期69-73,共5页
The aim of this study is to evaluate a three-equation turbulence model applied to pipe flow. Uncertainty is approximated by comparing with published direct numerical simulation results for fully-developed average pipe... The aim of this study is to evaluate a three-equation turbulence model applied to pipe flow. Uncertainty is approximated by comparing with published direct numerical simulation results for fully-developed average pipe flow. The model is based on the Reynolds averaged Navier-Stokes equations. Boussinesq hypothesis is invoked for determining the Reynolds stresses. Three local length scales are solved, based on which the eddy viscosity is calculated. There are two parameters in the model;one accounts for surface roughness and the other is possibly attributed to the fluid. Error in the mean axial velocity and Reynolds stress is found to be negligible. 展开更多
关键词 PIPE flow REYNOLDS stress TURBULENCE modeling
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FLOW STRESS OF STEEL 55SiMnVB AT HIGH TEMPERATURES AND HIGH STRAIN RATES
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作者 ZHAO Jiarong YANG Jie Wuhan Iron and Steel University,Wuhan,China ZHAO Jiarong,associate professor,Faculty of Rolling,Wuhan Iron and Steel University,Wuhan 430081,China 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 1990年第8期110-114,共5页
Based on the analyses of hot-deformation mechanism of the steel,a new constitutive equation describing the flow stress of steels was derived.The flow stress data of steel 55SiMnVB have been determined at 900—1200℃,s... Based on the analyses of hot-deformation mechanism of the steel,a new constitutive equation describing the flow stress of steels was derived.The flow stress data of steel 55SiMnVB have been determined at 900—1200℃,strain rates of 1—100s^(-1)and true-strain of 0.08—0.8.An available evaluated formula on the flows tress has been obtained by means of non-linear regression.It can express clearly the physical process of hot-deformation. 展开更多
关键词 flow stress steel 55SiMnVB prediction model hot-deformation
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SECOND-ORDER MOMENT MODEL FOR DENSE TWO-PHASE TURBULENT FLOW OF BINGHAM FLUID WITH PARTICLES
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作者 曾卓雄 周力行 刘志和 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第10期1373-1381,共9页
The USM-θ model of Bingham fluid for dense two-phase turbulent flow was developed, which combines the second-order moment model for two-phase turbulence with the particle kinetic theory for the inter-particle collisi... The USM-θ model of Bingham fluid for dense two-phase turbulent flow was developed, which combines the second-order moment model for two-phase turbulence with the particle kinetic theory for the inter-particle collision. In this model, phases interaction and the extra term of Bingham fluid yield stress are taken into account. An algorithm for USM-θ model in dense two-phase flow was proposed, in which the influence of particle volume fraction is accounted for. This model was used to simulate turbulent flow of Bingham fluid single-phase and dense liquid-particle two-phase in pipe. It is shown USM-θ model has better prediction result than the five-equation model, in which the particle-particle collision is modeled by the particle kinetic theory, while the turbulence of both phase is simulated by the two-equation turbulence model. The USM-θ model was then used to simulate the dense two-phase turbulent up flow of Bingham fluid with particles. With the increasing of the yield stress, the velocities of Bingham and particle decrease near the pipe centre. Comparing the two-phase flow of Bingham-particle with that of liquid-particle, it is found the source term of yield stress has significant effect on flow. 展开更多
关键词 Bingham fluid two-phase flow yield stress second-order moment model
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AN EXTENDED k-ε MODEL FOR NUMERICAL SIMULATION OF WIND FLOW AROUND BUILDINGS
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作者 陈水福 孙炳楠 唐锦春 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第1期95-100,共6页
It is assumed in this paper that for a high Reynolds number nearly homogeneouswind flow, the Reynolds stresses are uniquely related to the mean velocity gradientsand the two independent turbulent scaling parameters k ... It is assumed in this paper that for a high Reynolds number nearly homogeneouswind flow, the Reynolds stresses are uniquely related to the mean velocity gradientsand the two independent turbulent scaling parameters k and E. By applying dimensionalanalysis and owing to the Cayley-Hamilton theorem for tensors, a new turbulenceenclosure model so-called the axtended k-ε model has been developed. The coefficientsof the model expression were detemined by the wind tunnel experimental data ofhomogeneous shear turbulent flow. The model was compared with the standard k-εmodel in in composition and the prediction of the Reynold's normal Stresses. Using thenew model the numerical simulation of wind flow around a square cross-section tallbuilding was performed. The results show that the extended k-ε model improves theprediction of wind velocities around the building the building and wind pressures on the buildingenvelope. 展开更多
关键词 turbulence model Reynolds stress wind flow numerical simulation
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A quasi single-phase model for debris flows and its comparison with a two-phase model
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作者 XIA Chun-chen LI Ji +2 位作者 CAO Zhi-xian LIU Qing-quan HU Kai-heng 《Journal of Mountain Science》 SCIE CSCD 2018年第5期1071-1089,共19页
A depth-averaged quasi single-phase mixture model is proposed for debris flows over inclined bed slopes based on the shallow water hydrosediment-morphodynamic theory with multi grain sizes. The stresses due to fluctua... A depth-averaged quasi single-phase mixture model is proposed for debris flows over inclined bed slopes based on the shallow water hydrosediment-morphodynamic theory with multi grain sizes. The stresses due to fluctuations are incorporated based on analogy to turbulent flows, as estimated using the depth-averaged k-? turbulence model and a modification component. A fully conservative numerical algorithm, using wellbalanced slope limited centred scheme, is deployed to solve the governing equations. The present quasi single-phase model using four closure relationships for the bed shear stresses is evaluated against USGS experimental debris flow and compared with traditional quasi single-phase models and a recent physically enhanced two-phase model. It is found that the present quasi single-phase model performs much better than the traditional models, and is attractive in terms of computational cost while the two-phase model performs even better appreciably. 展开更多
关键词 DEBRIS flows QUASI SINGLE-PHASE mixturemodel stresses DUE to fluctuations Well-balanced
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Discussion and prediction on decreasing flow stress scale effect 被引量:9
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作者 申昱 于沪平 阮雪榆 《中国有色金属学会会刊:英文版》 EI CSCD 2006年第1期132-136,共5页
Based on crystal plasticity theory and surface layer model, relation of flow stress to billet dimension and grain size was built, and rationality of derived relation was verified with tensile tests of different size b... Based on crystal plasticity theory and surface layer model, relation of flow stress to billet dimension and grain size was built, and rationality of derived relation was verified with tensile tests of different size billets. With derived expressions, relation of decreasing flow stress scale effect to billet dimension, grain size as well as billet shape was discussed and predicted. The results show that flow stress is proportional to billet size; with decrease of grain size, flow stress is less influenced by billet dimension. When both cross section area and grain size are same, flow stress decrease of rectangular section billet or sheet is larger than that of circular section billet. 展开更多
关键词 晶体塑性理论 霍尔-佩奇关系 表面层模型 刻度效应 微加工 流动压力
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Waspaloy镍基合金高温流变应力及其本构模型构建
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作者 许罗鹏 郝梦全 +5 位作者 熊磊 张儒伦 李志欣 张宏 杨卫波 邹华维 《科学技术与工程》 北大核心 2024年第17期7406-7413,共8页
针对涡轮发动机涡轮叶片复杂应力状态下的时效变形问题,以涡轮叶片材料Waspaloy镍基合金为研究对象,开展Waspaloy镍基合金时效处理,完成时效态Waspaloy镍基合金600、700和750℃准静态高温力学拉伸试验。利用Ludwik和Hollomon经验公式预... 针对涡轮发动机涡轮叶片复杂应力状态下的时效变形问题,以涡轮叶片材料Waspaloy镍基合金为研究对象,开展Waspaloy镍基合金时效处理,完成时效态Waspaloy镍基合金600、700和750℃准静态高温力学拉伸试验。利用Ludwik和Hollomon经验公式预测Waspaloy镍基合金高温塑性段流变应力,引入平均误差(the mean error,E_(r))和均方根误差(root mean square error,RMSE)评价流变应力的预测准确度。结果表明,时效处理后合金的硬度得到有效提升,而其塑性性能有所降低。Waspaloy镍基合金的抗拉强度和延伸率在600~750℃区间范围内与加载温度呈负相关关系。Ludwik模型较Hollomon模型有更高的流变应力预测精度,而在高温高应变区域Ludwik模型预测流变应力仍存在较大误差。在Ludwik模型的基础上引入指数项,修正后的Ludwik模型能更好地预测Waspaloy镍基合金高温塑性段的流变应力。 展开更多
关键词 Waspaloy镍基合金 时效处理 流变应力 本构模型
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TC4钛合金的力学性能分析和本构模型的构建
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作者 郑伟 王硕 黄小娴 《山东建筑大学学报》 2024年第3期76-82,共7页
构建TC4钛合金本构模型,可以更精确地描述和预测TC4钛合金的力学行为,为其生产应用提供更加准确、可靠的理论依据。文章通过高温压缩实验,得到TC4钛合金流动应力与应变、应变速率以及温度之间的关系,并建立了初始的Johnson-Cook(JC)本... 构建TC4钛合金本构模型,可以更精确地描述和预测TC4钛合金的力学行为,为其生产应用提供更加准确、可靠的理论依据。文章通过高温压缩实验,得到TC4钛合金流动应力与应变、应变速率以及温度之间的关系,并建立了初始的Johnson-Cook(JC)本构模型。根据应变量、变形温度、应变速率之间的相互联系,修正了本构模型并拟合数据;比较了拟合、实验结果,并借助误差用相关系数R定量评价不同本构模型对流动应力预测的准确性。结果表明:最终构建的钛合金本构模型的预测值误差相关系数R值可达到0.999,比原始的JC模型能更准确地预测材料的力学行为。 展开更多
关键词 TC4钛合金 本构模型 流动应力 力学行为
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Plastic flow behavior of superalloy GH696 during hot deformation 被引量:1
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作者 许赵华 李淼泉 李宏 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第3期712-721,共10页
In order to investigate the hot deformation behavior of superalloy GH696, isothermal compression experiments were carried out at deformation temperatures of 880?1120 °C and strain rates of 0.01?10 s?1. And the de... In order to investigate the hot deformation behavior of superalloy GH696, isothermal compression experiments were carried out at deformation temperatures of 880?1120 °C and strain rates of 0.01?10 s?1. And the deformation amount of all the samples was 50%. The strain rate sensitivity exponent (m) and strain hardening exponent (n) under different deformation conditions were calculated, meanwhile the effects of the processing parameters on the values ofm andn were analyzed. The results show that the flow stress increases with the increase of strain rate and the decrease of deformation temperature. The value ofm increases with the increase of deformation temperature and decreases with the increase of strain rate, while the value ofn decreases with the increase of deformation temperature. A novel flow stress model during hot deformation of superalloy GH696 was also established. And the calculated flow stress of the alloy is in good agreement with the experimental one. 展开更多
关键词 superalloy GH696 flow stress deformation behavior strain rate sensitivity exponent strain hardening exponent flow stress model
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基于应变的应变硬化指数演化行为研究
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作者 崔学习 关铂镔 +3 位作者 周兵营 吴向东 万敏 韩非 《塑性工程学报》 CAS CSCD 北大核心 2024年第8期164-170,共7页
为准确描述变形过程中双相高强钢板的应力应变关系,针对3种双相高强钢板应变硬化指数的演化行为进行了试验研究与理论模型预测。借助单向拉伸试验机和自主研发的DIC应变测量系统,获得了3种材料的真实应力-真实应变曲线,基于经典的Hollo... 为准确描述变形过程中双相高强钢板的应力应变关系,针对3种双相高强钢板应变硬化指数的演化行为进行了试验研究与理论模型预测。借助单向拉伸试验机和自主研发的DIC应变测量系统,获得了3种材料的真实应力-真实应变曲线,基于经典的Hollomon流动应力模型,得到了其应变硬化指数的演化历程,发现3种材料应变硬化指数与真实应变呈非线性变化关系。为了更好地预测应变硬化指数的演化行为,提出了可以描述其值变化的非线性数学模型,并结合经典的Hollomon流动应力模型,提出了基于n值变化的修正的Hollomon-n流动应力模型,最后通过3种材料的真实应力-真实应变曲线验证了所提出模型的有效性。 展开更多
关键词 双相高强钢板 应变硬化指数 数字图像相关法 应变演化 流动应力模型
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