GH4169合金的循环本构模型研究
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摘要
为研究GH4169合金在高温环境不同载荷条件下的非弹性响应力学行为,对其开展650℃下单轴拉伸和恒温低周疲劳试验,采用Bodner-Partom (B-P)统一本构理论对其力学行为开展数值模拟研究。通过试验,获得GH4169合金高温单轴拉伸曲线及半应变幅为0.65%,0.75%及0.85%下的循环曲线,基于B-P理论并结合有限元方法,引入介于0～1的缩小因子,研究了本构方程隐式积分新算法,通过ABAQUS用户子程序,计算得到GH4169合金不同载荷条件下的数值模拟曲线。计算曲线与试验曲线均具有较好的一致性,说明B-P模型能较合理地建模GH4169合金的高温非弹性响应力学行为,同时验证了本文模型的完整性和计算程序的正确性。
In order to study the inelastic response behaviors of GH4169 alloy under different loading condi-tions at high temperature,the uniaxial tension and low cycle fatigue tests were carried out at 650℃. The Bodner-Partom(B-P)unified constitutive theory was used to simulate the mechanical behaviors of GH4169 alloy.Through the experiment,the uniaxial tension stress-strain data and the cyclic stress-strain data at the half-strainamplitudes of 0.65%,0.75%,and 0.85% were obtained. Based on the B-P theory and the finite element method,the new implicit integration algorithm for constitutive equations were studied by introducing a reduction factorthat is between 0 and 1. The B-P model was implemented in ABAQUS software through UMAT subroutine. Nu-merical simulation curves of GH4169 alloy under different loading conditions were calculated. The calculated re-sults agree well with the experimental results,indicating that the B-P model can reasonably describe such kindsof high temperature mechanical behaviors of GH4169 alloy,and verify the integrity of the B-P model and the cor-rectness of the program.
In order to study the inelastic response behaviors of GH4169 alloy under different loading condi-tions at high temperature,the uniaxial tension and low cycle fatigue tests were carried out at 650℃. The Bodner-Partom(B-P)unified constitutive theory was used to simulate the mechanical behaviors of GH4169 alloy.Through the experiment,the uniaxial tension stress-strain data and the cyclic stress-strain data at the half-strainamplitudes of 0.65%,0.75%,and 0.85% were obtained. Based on the B-P theory and the finite element method,the new implicit integration algorithm for constitutive equations were studied by introducing a reduction factorthat is between 0 and 1. The B-P model was implemented in ABAQUS software through UMAT subroutine. Nu-merical simulation curves of GH4169 alloy under different loading conditions were calculated. The calculated re-sults agree well with the experimental results,indicating that the B-P model can reasonably describe such kindsof high temperature mechanical behaviors of GH4169 alloy,and verify the integrity of the B-P model and the cor-rectness of the program.
引文
[1]张鹏,朱强,秦鹤勇,等.航空发动机用耐高温材料的研究进展[J].材料导报,2014,28(11):27-31.
[2]杨挺青.粘弹塑性本构理论及其应用[J].力学进展,1992,22(1):10-19.
[3]周柏卓,张晓霞.正交各向异性材料粘塑性统一本构模型[J].推进技术,1998,19(1):89-93.(ZHOU Bai-zhuo,ZHANG Xiao-xia. The Viscoplastic Unified Constitutive Model of Orthotropic Material[J]. Journal of Propulsion Technology,1998,19(1):89-93.)
[4] Bodner S R,Partom Y. A Large Deformation ElasticViscoplastic Analysis of a Thick Walled Spherical Shell[J]. Journal of Applied Mechanics,1970,39(3):751-757.
[5] Chaboche J L,KanoutéP,Azzouz F. Cyclic Inelastic Constitutive Equations and Their Impact on the Fatigue Life Predictions[J]. International Journal of Plasticity,2012,35(2):44-66.
[6] Wei H L,Yang X G,Yu H C. Constitutive Modeling and Parameter Identification of Mechanical Behavior for GH4169 Alloy at High Temperature[J]. Journal of Materials Engineering,2005,(4):42-45.
[7]蔚夺魁,杨晓光,张克实.多晶镍基合金循环塑性细观本构关系[J].航空动力学报,2013,28(10):2167-2173.
[8] Huang J,Shi D Q,Yang X G,et al. Unified Modeling of High Temperature Deformations of a Ni-Based Polycrystalline Wrought Super-Alloy under Tension-Compression,Cyclic,Creep and Creep-Fatigue Loadings[J].中国科学:技术科学,2015,58(2):248-257.
[9] Ambroziak A. Application of Elasto-Viscoplastic Bodner-Partom Constitutive Equations in Finite Element Analysis[J]. Computer Assisted Mechanics&Engineering Sciences,2007,14:405-429.
[10]魏洪亮,杨晓光,于慧臣. GH4169合金高温力学行为本构建模及参数识别[J].材料工程,2005,(4):42-45.
[11] Bodner S R. Unified Plasticity for Engineering Applications[M]. USA:Springer,2002.
[12]邓斌,申志彬,谢燕,等.含损伤粘弹性本构及其在有限元分析中的实现[J].推进技术,2013,34(5):699-705.(DENG Bin,SHEN Zhi-bin,XIE Yan,et al. Viscoelastic Constitutive Model with Damage and Its Implementation in Finite Rlement Analysis[J]. Journal of Propulsion Technology,2013,34(5):699-705.)
[13] Prakash D G L,Walsh M J,Maclachlan D,et al. Crack Growth Micro-Mechanisms in the IN718 Alloy under the Combined Influence of Fatigue,Creep and Oxidation[J]. International Journal of Fatigue,2009,31(11):1966-1977.
[14]安金岚,王磊,刘杨,等.长期时效对GH4169合金组织演化及低周疲劳行为的影响[J].金属学报,2015,51(7):835-843.
[15]康国政.循环稳定材料的棘轮行为:II.隐式应力积分算法和有限元实现[J].工程力学,2005,22(3):204-209.
[16]胡桂娟,张克实,黄世鸿. Chaboche率相关本构模型的数值积分算法[J].广西大学学报(自然科学版),2011,36(1):166-171.
[17]周计明,齐乐华.率相关本构方程积分新算法[J].应用力学学报,2009,26(4):762-766.
[18]胡绪腾,宋迎东. Bodner-Partom本构模型材料参数估计新方法[J].机械科学与技术,2009,28(2):196-199.
[19]冯明珲.粘弹塑性统一本构理论[D].大连:大连理工大学,2000.
[2]杨挺青.粘弹塑性本构理论及其应用[J].力学进展,1992,22(1):10-19.
[3]周柏卓,张晓霞.正交各向异性材料粘塑性统一本构模型[J].推进技术,1998,19(1):89-93.(ZHOU Bai-zhuo,ZHANG Xiao-xia. The Viscoplastic Unified Constitutive Model of Orthotropic Material[J]. Journal of Propulsion Technology,1998,19(1):89-93.)
[4] Bodner S R,Partom Y. A Large Deformation ElasticViscoplastic Analysis of a Thick Walled Spherical Shell[J]. Journal of Applied Mechanics,1970,39(3):751-757.
[5] Chaboche J L,KanoutéP,Azzouz F. Cyclic Inelastic Constitutive Equations and Their Impact on the Fatigue Life Predictions[J]. International Journal of Plasticity,2012,35(2):44-66.
[6] Wei H L,Yang X G,Yu H C. Constitutive Modeling and Parameter Identification of Mechanical Behavior for GH4169 Alloy at High Temperature[J]. Journal of Materials Engineering,2005,(4):42-45.
[7]蔚夺魁,杨晓光,张克实.多晶镍基合金循环塑性细观本构关系[J].航空动力学报,2013,28(10):2167-2173.
[8] Huang J,Shi D Q,Yang X G,et al. Unified Modeling of High Temperature Deformations of a Ni-Based Polycrystalline Wrought Super-Alloy under Tension-Compression,Cyclic,Creep and Creep-Fatigue Loadings[J].中国科学:技术科学,2015,58(2):248-257.
[9] Ambroziak A. Application of Elasto-Viscoplastic Bodner-Partom Constitutive Equations in Finite Element Analysis[J]. Computer Assisted Mechanics&Engineering Sciences,2007,14:405-429.
[10]魏洪亮,杨晓光,于慧臣. GH4169合金高温力学行为本构建模及参数识别[J].材料工程,2005,(4):42-45.
[11] Bodner S R. Unified Plasticity for Engineering Applications[M]. USA:Springer,2002.
[12]邓斌,申志彬,谢燕,等.含损伤粘弹性本构及其在有限元分析中的实现[J].推进技术,2013,34(5):699-705.(DENG Bin,SHEN Zhi-bin,XIE Yan,et al. Viscoelastic Constitutive Model with Damage and Its Implementation in Finite Rlement Analysis[J]. Journal of Propulsion Technology,2013,34(5):699-705.)
[13] Prakash D G L,Walsh M J,Maclachlan D,et al. Crack Growth Micro-Mechanisms in the IN718 Alloy under the Combined Influence of Fatigue,Creep and Oxidation[J]. International Journal of Fatigue,2009,31(11):1966-1977.
[14]安金岚,王磊,刘杨,等.长期时效对GH4169合金组织演化及低周疲劳行为的影响[J].金属学报,2015,51(7):835-843.
[15]康国政.循环稳定材料的棘轮行为:II.隐式应力积分算法和有限元实现[J].工程力学,2005,22(3):204-209.
[16]胡桂娟,张克实,黄世鸿. Chaboche率相关本构模型的数值积分算法[J].广西大学学报(自然科学版),2011,36(1):166-171.
[17]周计明,齐乐华.率相关本构方程积分新算法[J].应用力学学报,2009,26(4):762-766.
[18]胡绪腾,宋迎东. Bodner-Partom本构模型材料参数估计新方法[J].机械科学与技术,2009,28(2):196-199.
[19]冯明珲.粘弹塑性统一本构理论[D].大连:大连理工大学,2000.