The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary an...The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary and sufficient conditions for the uniqueness of q-process in random environment are given.展开更多
The Q_(K)(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the Q_(K)(p)-Teichmüller space and the Q_(K,0)(p)-Teichmüller space are given.Their Schwarzian derivat...The Q_(K)(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the Q_(K)(p)-Teichmüller space and the Q_(K,0)(p)-Teichmüller space are given.Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.展开更多
This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-proces...This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.展开更多
设计了一种中碳中锰Q&P(Quenching and partitioning)钢,基于热力学平衡理论计算分析了其相变过程,通过扫描电镜(SEM)、背散射电子衍射(EBSD)和透射电镜(TEM)研究了实验钢经不同热处理后的微观组织,测试了其力学性能,并采用X射线衍...设计了一种中碳中锰Q&P(Quenching and partitioning)钢,基于热力学平衡理论计算分析了其相变过程,通过扫描电镜(SEM)、背散射电子衍射(EBSD)和透射电镜(TEM)研究了实验钢经不同热处理后的微观组织,测试了其力学性能,并采用X射线衍射仪(XRD)进一步分析了拉伸断裂前后残留奥氏体含量的演变规律。结果表明:室温下实验钢微观组织为板条状马氏体和弥散分布的残留奥氏体;残留奥氏体主要存在于马氏体板条之间和原始奥氏体晶界处;随配分时间延长,抗拉强度逐渐降低,延伸率呈现升高趋势;试样拉断后,断口处残留奥氏体含量在3.5%~4.5%之间,明显低于拉伸前的含量(6.94%~10.78%),说明大部分残留奥氏体在拉伸过程中发生了TRIP效应,提高了实验钢的塑性。展开更多
主要对0.19C-1.52Si-1.53Mn-0.14Al-0.048Nb和0.19C-1.52Si-1.48Mn-0.15Al两种成分的钢进行了Q&P(quenching and partitioning)工艺处理,并研究二次淬火对Q&P钢组织性能的影响.结果表明:Nb的加入能够起到细晶强化和沉淀强化的效...主要对0.19C-1.52Si-1.53Mn-0.14Al-0.048Nb和0.19C-1.52Si-1.48Mn-0.15Al两种成分的钢进行了Q&P(quenching and partitioning)工艺处理,并研究二次淬火对Q&P钢组织性能的影响.结果表明:Nb的加入能够起到细晶强化和沉淀强化的效果,提高Q&P钢的综合性能.强塑积最高可达到25 190 MPa.%.二次淬火能够提高实验钢最终的马氏体含量,并大大提高钢的抗拉强度和屈服强度,降低了实验钢的应变硬化指数和总延伸率.若不采用二次淬火则会使实验钢的塑性大大提高,综合力学性能较高.展开更多
采用盐浴法对热成形钢22MnB5进行了Q&P工艺(quenching and partitioningprocess)处理,研究了淬火终点温度、分配温度和分配时间对试验钢的显微组织、力学性能和残余奥氏体含量的影响。结果表明:Q&P工艺处理22MnB5钢的显微组织...采用盐浴法对热成形钢22MnB5进行了Q&P工艺(quenching and partitioningprocess)处理,研究了淬火终点温度、分配温度和分配时间对试验钢的显微组织、力学性能和残余奥氏体含量的影响。结果表明:Q&P工艺处理22MnB5钢的显微组织主要为马氏体和残余奥氏体组织,同时有一定量的碳化物析出,随着淬火终点温度和分配温度的升高或分配时间的延长,马氏体和碳化物的微观形貌会发生变化;在淬火终点温度和分配温度为325℃,分配时间为60s时得到的试样强塑积最高,达到20435MPa.%;试样的拉伸断口都显示出良好的韧性断裂特征;XRD分析表明,在Q&P工艺处理后试验钢的残余奥氏体含量可达5.5%。展开更多
文摘The concepts of Markov process in random environment, q-matrix in random environment, and q-process in random environment are introduced. The minimal q-process in random environment is constructed and the necessary and sufficient conditions for the uniqueness of q-process in random environment are given.
基金supported by the National Natural Science Foundation of China(12271017)supported by the Natural Science Foundation of Shandong Province(ZR2022MA018)by the National Natural Science Foundation of China(12171221)。
文摘The Q_(K)(p)-Teichmüller space is introduced and studied in this paper.Various characterizations of the Q_(K)(p)-Teichmüller space and the Q_(K,0)(p)-Teichmüller space are given.Their Schwarzian derivative model and pre-logarithmic derivative model are also discussed.
基金the NNSF of China(10371092,10771185,10471148)the Foundation of Wuhan University
文摘This article is a continuation of[9].Based on the discussion of random Kolmogorov forward（backward）equations,for any given q-matrix in random environment, Q（θ）=（q（θ;x,y）,x,y∈X）,an infinite class of q-processes in random environments satisfying the random Kolmogorov forward（backward）equation is constructed.Moreover, under some conditions,all the q-processes in random environments satisfying the random Kolmogorov forward（backward）equation are constructed.
文摘设计了一种中碳中锰Q&P(Quenching and partitioning)钢,基于热力学平衡理论计算分析了其相变过程,通过扫描电镜(SEM)、背散射电子衍射(EBSD)和透射电镜(TEM)研究了实验钢经不同热处理后的微观组织,测试了其力学性能,并采用X射线衍射仪(XRD)进一步分析了拉伸断裂前后残留奥氏体含量的演变规律。结果表明:室温下实验钢微观组织为板条状马氏体和弥散分布的残留奥氏体;残留奥氏体主要存在于马氏体板条之间和原始奥氏体晶界处;随配分时间延长,抗拉强度逐渐降低,延伸率呈现升高趋势;试样拉断后,断口处残留奥氏体含量在3.5%~4.5%之间,明显低于拉伸前的含量(6.94%~10.78%),说明大部分残留奥氏体在拉伸过程中发生了TRIP效应,提高了实验钢的塑性。
文摘主要对0.19C-1.52Si-1.53Mn-0.14Al-0.048Nb和0.19C-1.52Si-1.48Mn-0.15Al两种成分的钢进行了Q&P(quenching and partitioning)工艺处理,并研究二次淬火对Q&P钢组织性能的影响.结果表明:Nb的加入能够起到细晶强化和沉淀强化的效果,提高Q&P钢的综合性能.强塑积最高可达到25 190 MPa.%.二次淬火能够提高实验钢最终的马氏体含量,并大大提高钢的抗拉强度和屈服强度,降低了实验钢的应变硬化指数和总延伸率.若不采用二次淬火则会使实验钢的塑性大大提高,综合力学性能较高.
文摘采用盐浴法对热成形钢22MnB5进行了Q&P工艺(quenching and partitioningprocess)处理,研究了淬火终点温度、分配温度和分配时间对试验钢的显微组织、力学性能和残余奥氏体含量的影响。结果表明:Q&P工艺处理22MnB5钢的显微组织主要为马氏体和残余奥氏体组织,同时有一定量的碳化物析出,随着淬火终点温度和分配温度的升高或分配时间的延长,马氏体和碳化物的微观形貌会发生变化;在淬火终点温度和分配温度为325℃,分配时间为60s时得到的试样强塑积最高,达到20435MPa.%;试样的拉伸断口都显示出良好的韧性断裂特征;XRD分析表明,在Q&P工艺处理后试验钢的残余奥氏体含量可达5.5%。
