Interaction Term

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Yongqing Zhao - One of the best experts on this subject based on the ideXlab platform.

  • slip transmission behavior across α β interface and strength prediction with a modified rule of mixtures in tc21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Lin Xiao, Yongqing Zhao
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

  • Slip transmission behavior across α/β interface and strength prediction with a modified rule of mixtures in TC21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Changsheng Tan, Lin Xiao, Yongqing Zhao, Qiaoyan Sun, Jun Sun
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

Lin Xiao - One of the best experts on this subject based on the ideXlab platform.

  • slip transmission behavior across α β interface and strength prediction with a modified rule of mixtures in tc21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Lin Xiao, Yongqing Zhao
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

  • Slip transmission behavior across α/β interface and strength prediction with a modified rule of mixtures in TC21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Changsheng Tan, Lin Xiao, Yongqing Zhao, Qiaoyan Sun, Jun Sun
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

Jun Sun - One of the best experts on this subject based on the ideXlab platform.

  • Slip transmission behavior across α/β interface and strength prediction with a modified rule of mixtures in TC21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Changsheng Tan, Lin Xiao, Yongqing Zhao, Qiaoyan Sun, Jun Sun
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

Changsheng Tan - One of the best experts on this subject based on the ideXlab platform.

  • Slip transmission behavior across α/β interface and strength prediction with a modified rule of mixtures in TC21 titanium alloy
    Journal of Alloys and Compounds, 2017
    Co-Authors: Changsheng Tan, Lin Xiao, Yongqing Zhao, Qiaoyan Sun, Jun Sun
    Abstract:

    Abstract Slip transmission behavior across α/β interface has been investigated in an α/β titanium alloy, TC21 alloy (Ti-6Al-2Sn-2Zr-3Mo-1Cr-2Nb-0.1Si). Scanning electron microscopy (SEM) was used to observe slip lines morphology and transmission across the interface in samples which undergo a certain tensile strain. Details of slip traces in α and β lamellae have been observed in detail by Transmission electron microscope (TEM). Atomic Force Microscopy (AFM) technique was used to observe and measure height of a single slip step at the surface of α lamellae. Two processes of slip transmission, direct transmission and a deviation of 10° angle from α to β lamellae, are observed at α/β interface corresponding to basal slip and prismatic slip in α phase, respectively. Slip transmission is not observed across α/βtrans interface when β phase is strengthened by fine α laths. A modified rule of mixtures is developed to predict yield strength of TC21 alloy by introducing an Interaction Term. Based on experimental data and slip transmission behavior from α to β lamellae, Interaction Term is calculated by multiplication of barrier stress and a coefficient. The coefficient is closely related to slip transmission behavior. Easy slip transmission across the interface leads to high absolute value of the coefficient, which indicates that the Interaction Term has an apparent effect on prediction of strength. The low absolute value means that Interaction Term from interface has less effect on prediction of strength than the high one.

Andreas Ludwig - One of the best experts on this subject based on the ideXlab platform.

  • simulation of channel segregation using a two phase columnar solidification model part ii mechanism and parameter study
    Computational Materials Science, 2012
    Co-Authors: Jun Li, M Wu, Abdellah Kharicha, Andreas Ludwig
    Abstract:

    Abstract In Part II of this investigation the two-phase columnar solidification model, described in Part I, is applied to study channel segregation in a Sn–10 wt.% Pb benchmark. Channel segregation originates from the thermo-solutal convection and the flow perturbations. The onset of a flow perturbation and subsequent channel segregation was previously analyzed with a mushy zone Rayleigh number by Beckermann et al. [Worster, Ann. Rev. Fluid Mech. (1997); Beckermann et al., Metall. Mater. Trans. A (2000)]. The current study has justified the Rayleigh number as a qualitative indicator for characterizing the origin of segregation channels. Numerical parameter study has shown that an enhanced mushy zone Rayleigh number by increasing the secondary dendrite arm spacing and/or solutal expansion coefficient is prone to the formation of the channel segregation. Newly formed channels are sustained via growth under certain preferential conditions of the resulting flow-solidification Interactions, which can be characterized by a flow-solidification Interaction Term, u ⇀ l · ∇ c l . Depending on the flow direction, the sign of this Term can be positive or negative. Channels occur only in the region where the flow-solidification Interaction Term is negative. With a negative flow-solidification Interaction Term the increase in flow velocity due to a flow perturbation suppresses the local solidification rate, promoting the growth of the channel. In return the growing channel strengthens the flow perturbation, and the flow-solidification Interaction Term becomes more negative; thus the channel continues to grow and becomes stable. The current model indicates that remelting is not a necessary condition for channel segregation.

  • Simulation of channel segregation using a two-phase columnar solidification model – Part II: Mechanism and parameter study
    Computational Materials Science, 2012
    Co-Authors: Jing Hao, Abdellah Kharicha, Andreas Ludwig
    Abstract:

    Abstract In Part II of this investigation the two-phase columnar solidification model, described in Part I, is applied to study channel segregation in a Sn–10 wt.% Pb benchmark. Channel segregation originates from the thermo-solutal convection and the flow perturbations. The onset of a flow perturbation and subsequent channel segregation was previously analyzed with a mushy zone Rayleigh number by Beckermann et al. [Worster, Ann. Rev. Fluid Mech. (1997); Beckermann et al., Metall. Mater. Trans. A (2000)]. The current study has justified the Rayleigh number as a qualitative indicator for characterizing the origin of segregation channels. Numerical parameter study has shown that an enhanced mushy zone Rayleigh number by increasing the secondary dendrite arm spacing and/or solutal expansion coefficient is prone to the formation of the channel segregation. Newly formed channels are sustained via growth under certain preferential conditions of the resulting flow-solidification Interactions, which can be characterized by a flow-solidification Interaction Term, u ⇀ l · ∇ c l . Depending on the flow direction, the sign of this Term can be positive or negative. Channels occur only in the region where the flow-solidification Interaction Term is negative. With a negative flow-solidification Interaction Term the increase in flow velocity due to a flow perturbation suppresses the local solidification rate, promoting the growth of the channel. In return the growing channel strengthens the flow perturbation, and the flow-solidification Interaction Term becomes more negative; thus the channel continues to grow and becomes stable. The current model indicates that remelting is not a necessary condition for channel segregation.