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\title{\textbf{¿¹Çâ´àºÏ½ð˫·¾¶½â¾ö·½°¸£º³£¹æÎ»´íÏÝÚåÓë¡°Ô÷Ç⡱¾§¸ñÉè¼Æ}}
\date{}

\begin{document}
\maketitle

\begin{abstract}
±¾ÎÄÊÇλ´íºÏ½ð²ÄÁÏÎïÀíÀíÂÛÔÚ¿¹Çâ´àÁìÓòµÄ¾ßÌåÓ¦ÓᣵÚÒ»²¿·Ö»ùÓÚλ´íÎïÀí½¨Á¢ÁËÇâ´àÐÔÄܵÄͨÓ÷½³Ì£¬°üÀ¨ÇâÏÝÚåÃܶÈͳһ±í´ïʽºÍ¿¹SSCCÃż÷Ó¦Á¦¹«Ê½£¬¿Éͨ¹ý³É·ÖÓ빤ÒÕÔ¤²â¿¹Çâ´àÄÜÁ¦¡£»ùÓÚ30ÖÖµäÐͺϽ𣨹ÜÏ߸֡¢Cr-Mo¸Ö¡¢°ÂÊÏÌå²»Ðâ¸Ö¡¢¸ßìØºÏ½ð¡¢îѺϽðµÈ£©µÄʵÑéÊý¾ÝÑéÖ¤±íÃ÷£ºSSCCÃż÷Ó¦Á¦Ô¤²âƽ¾ùÎó²î7.8\%£¬Çâ´àÃô¸ÐÐÔÖ¸ÊýÔ¤²âÎó²î9.2\%£¬´ïµ½¹¤³ÌÓ¦Óþ«¶ÈÒªÇó¡£Óë¹ú¼ÊÏȽøÄ£ÐÍÏà±È£¬±¾¹«Ê½ÔÚÎïÀí¿É½âÊÍÐÔ¡¢²ÎÊýÊýÁ¿¡¢Ô¤²â¾«¶È·½Ãæ¾ßÓÐ×ÛºÏÓÅÊÆ¡£µÚ¶þ²¿·ÖÌá³ö³¬Ô½Î»´íÎïÀíµÄ¡°Ô÷Ç⡱¾§¸ñÉè¼ÆÐÂÀíÄ¡ªÍ¨¹ý½çÃæÑ¹Ó¦±ä¡¢¾§½çÆ«ÎöºÍµç×ӽṹµ÷¿Ø£¬´ÓÔ­×ӳ߶ÈÅųâÇâÔ­×Ó½øÈë¾§¸ñ£¬²¢Õ¹ÍûÁË·Âʯīϩ¡°µç×Óîø¼×¡±ºÏ½ðµÄδÀ´·½Ïò¡£ÒÔº£Ñ󹤳ÌîѺϽðΪÀý£¬¸ø³öÁË¿¹Çâ´àÓÅ»¯Éè¼Æ·½°¸¡£ËùÓкËÐĹ«Ê½¡¢Éè¼Æ·½·¨¾ùÊÜ֪ʶ²úȨ±£»¤¡£
\end{abstract}

\section{ÒýÑÔ}

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\section{µÚÒ»²¿·Ö£ºÎ»´íÎïÀíµÄÇâ´à·½³Ì£¨³£¹æÏÝÚå·¾¶£©}

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\begin{equation}
\Psi_{\text{total}} = \eta \rho + \zeta S_{\text{grainbd}} + \sum_j \kappa_j N_j
\label{eq:total}
\end{equation}
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    \item $N_j$ΪµÚ$j$ÀàÎö³öÏàµÄÊýÃܶȣ¨m$^{-3}$£©£»
    \item $\eta,\zeta,\kappa_j$Ϊ²ÄÁϳ£Êý£¬¿Éͨ¹ý»ù׼ʵÑé±ê¶¨¡£
\end{itemize}
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\subsection{¿¹SSCCÃż÷Ó¦Á¦¹«Ê½}
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\begin{equation}
\sigma_{\text{th}} = \sigma_y - \lambda \cdot \Psi_{\text{total}} \cdot G b
\label{eq:th}
\end{equation}
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\subsection{ÓÐЧÇâÀ©É¢ÏµÊý}
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\begin{equation}
D_{\text{eff}} = D_0 \exp\left(-\frac{E_{\text{diff}}}{k_B T}\right) \cdot \frac{1}{1 + \Psi_{\text{total}}}
\label{eq:deff}
\end{equation}
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\section{ϵͳÑéÖ¤½á¹û}

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\begin{table}[htbp]
\centering
\caption{Çâ´àÐÔÄÜÔ¤²âÆ«²îͳ¼Æ}
\label{tab:error}
\begin{tabular}{lcccc}
\toprule
\textbf{ÐÔÄÜÖ¸±ê} & \textbf{Ñù±¾Êý} & \textbf{ƽ¾ù¾ø¶ÔÎó²î} & \textbf{ƽ¾ùÏà¶ÔÎó²î/\%} \\
\midrule
SSCCÃż÷Ó¦Á¦ $\sigma_{\text{th}}/\sigma_y$ & 18 & 0.06 & 7.8 \\
Çâ´àÃô¸ÐÐÔÖ¸Êý£¨RRA£© & 14 & 0.08 & 9.2 \\
ÓÐЧÇâÀ©É¢ÏµÊý $D_{\text{eff}}$ (log³ß¶È) & 12 & 0.35 & ¡ª \\
¶ÏÁÑÈÍÐÔ $K_{\text{IC}}$ ϽµÂÊ (\%) & 20 & 5.2 & 8.5 \\
\bottomrule
\end{tabular}
\end{table}

\begin{table}[htbp]
\centering
\caption{±¾¹«Ê½Óë¹ú¼ÊÖ÷Á÷·½·¨Ô¤²â¾«¶È¶Ô±È}
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\begin{tabular}{lcccc}
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\midrule
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¾­Ñ黨¹éÄ£ÐÍ & 4-6 & $\pm15\%$ & Èõ & ÊÇ \\
¶ÏÁÑÁ¦Ñ§Î¨ÏóÄ£ÐÍ & 5-7 & $\pm20\%$ & ÖÐ & ÊÇ \\
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\bottomrule
\end{tabular}
\end{table}

\section{º£Ñ󹤳ÌîѺϽð¿¹Çâ´àÉè¼ÆÓ¦Óð¸Àý}

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\subsection{ÐÔÄÜÔ¤²â}
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\begin{table}[htbp]
\centering
\caption{ÓÅ»¯ºóTi-6Al-4VÇâ´àÐÔÄÜÔ¤²â}
\label{tab:ti-pred}
\begin{tabular}{lccc}
\toprule
\textbf{ÐÔÄÜÖ¸±ê} & \textbf{ԭʼ̬} & \textbf{ÓÅ»¯Ì¬} & \textbf{ÌáÉý·ù¶È} \\
\midrule
¾§Á£³ß´ç $d$ ($\mu$m) & 20 & 5 & ϸ»¯4±¶ \\
λ´íÃÜ¶È $\rho$ (m$^{-2}$) & $5\times10^{12}$ & $1\times10^{14}$ & 20±¶ \\
Îö³öÏàÊýÃÜ¶È $N$ (m$^{-3}$) & ¡ª & $1\times10^{20}$ & ¡ª \\
×ÜÏÝÚåÃÜ¶È $\Psi_{\text{total}}$ & »ù×¼ & +280\% & ¡ª \\
SSCCÃż÷Ó¦Á¦ $\sigma_{\text{th}}/\sigma_y$ & 0.55 & 0.78 & +42\% \\
ÇâÖÂËÜÐÔËðʧ (\%) & 45 & 22 & -51\% \\
\bottomrule
\end{tabular}
\end{table}

\section{µÚ¶þ²¿·Ö£ºÔ÷Çâ·½°¸¹¹Ï롪¡ª³¬Ô½Î»´íÎïÀíµÄÐÂÀíÄî}

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\begin{equation}
\frac{c_{\text{H}}}{c_{\text{H}}^0} = \exp\left(-\frac{2G \delta^2 V}{k_B T}\right)
\label{eq:h_sol}
\end{equation}
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\begin{equation}
c_{\text{grainbd}} = c_{\text{bulk}} \exp\left(\frac{E_{\text{bind}}}{k_B T}\right)
\label{eq:segregation}
\end{equation}
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\begin{equation}
\ln c_{\text{H}} = A \cdot \Phi_{\text{eff}} + B
\label{eq:solubility}
\end{equation}
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\appendix
\section{¸½Â¼A£º30ÖֺϽðÇâ´àÐÔÄÜÑéÖ¤Êý¾ÝÏê±í}

{\tiny
\setlength{\tabcolsep}{2pt}
\begin{longtable}{c p{3.2cm} c p{3.0cm} c c c}
\caption{30ÖֺϽðÇâ´àÐÔÄÜÑéÖ¤Êý¾Ý£¨SSCCÃż÷Ó¦Á¦¡¢Çâ´àÃô¸ÐÐԵȣ©} \\
\toprule
\textbf{ÐòºÅ} & \textbf{ºÏ½ðÅÆºÅ} & \textbf{ÀàÐÍ} & \textbf{ʵÑéÌõ¼þ} & \textbf{ʵÑéÖµ} & \textbf{Ô¤²âÖµ} & \textbf{Îó²î/\%} \\
\midrule
\endfirsthead
\multicolumn{7}{c}{\tablename\ \thetable{}¡ª¡ªÐø±í} \\
\toprule
\textbf{ÐòºÅ} & \textbf{ºÏ½ðÅÆºÅ} & \textbf{ÀàÐÍ} & \textbf{ʵÑéÌõ¼þ} & \textbf{ʵÑéÖµ} & \textbf{Ô¤²âÖµ} & \textbf{Îó²î/\%} \\
\midrule
\endhead
\bottomrule
\endfoot
1 & X70¹ÜÏß¸Ö & ¹ÜÏß¸Ö & H$_2$ 10MPa, NACE TM0177 & $\sigma_{\text{th}}/\sigma_y=0.72$ & 0.75 & +4.2 \\
2 & X80¹ÜÏß¸Ö & ¹ÜÏß¸Ö & H$_2$ 10MPa, NACE TM0177 & $\sigma_{\text{th}}/\sigma_y=0.68$ & 0.65 & -4.4 \\
3 & X100¹ÜÏß¸Ö & ¹ÜÏß¸Ö & H$_2$ 10MPa, SSRT & $\sigma_{\text{th}}/\sigma_y=0.62$ & 0.60 & -3.2 \\
4 & 2.25Cr-1Mo¸Ö & Cr-Mo¸Ö & H$_2$ 15MPa, ¶ÏÁÑÈÍÐÔ & $K_{\text{IC}}$Ͻµ 28\% & 26\% & -7.1 \\
5 & 9Cr-1Mo¸Ö & Cr-Mo¸Ö & H$_2$ 15MPa, SSRT & $\sigma_{\text{th}}/\sigma_y=0.75$ & 0.78 & +4.0 \\
6 & 12Cr-1Mo¸Ö & Cr-Mo¸Ö & ¶¯Ì¬³äÇâ, À­Éì & ËÜÐÔËðʧ32\% & 30\% & -6.2 \\
7 & 304²»Ðâ¸Ö & °ÂÊÏÌå & Ô¤³äÇâ, À­Éì & RRA=0.65 & 0.68 & +4.6 \\
8 & 316L²»Ðâ¸Ö & °ÂÊÏÌå & ¸ßѹÇâ, À­Éì & RRA=0.72 & 0.70 & -2.8 \\
9 & 310²»Ðâ¸Ö & °ÂÊÏÌå & Ô¤³äÇâ, À­Éì & RRA=0.58 & 0.62 & +6.9 \\
10 & 347²»Ðâ¸Ö & °ÂÊÏÌå & ¸ßѹÇâ, Æ£ÀÍ & FCG¼ÓËÙ2.1±¶ & 2.0±¶ & -4.8 \\
11 & CrMnFeCoNi HEA & ¸ßìØºÏ½ð & 70MPaÇâ³ä×¢, Æ£ÀÍ & FCG¼ÓËÙ3.2±¶ & 2.9±¶ & -9.4 \\
12 & CrFeCoNi HEA & ¸ßìØºÏ½ð & ¸ßѹÇâ, À­Éì & ÑÓÉìÂÊËðʧ38\% & 35\% & -7.9 \\
13 & Al$_{0.3}$CoCrFeNi HEA & ¸ßìØºÏ½ð & ¶¯Ì¬³äÇâ, SSRT & $\sigma_{\text{th}}/\sigma_y=0.55$ & 0.58 & +5.5 \\
14 & Ti-6Al-4V & îѺϽð & º¬Çâ0.023\%, À­Éì & ËÜÐÔËðʧ45\% & 48\% & +6.7 \\
15 & Ti-6Al-4V & îѺϽð & ¸ßѹÇâ, Æ£ÀÍ & FCG¼ÓËÙ2.5±¶ & 2.6±¶ & +4.0 \\
16 & Ti-24Al-11Nb & Ti-Al½ðÊô¼ä & ¶¯Ì¬³äÇâ, $K_{\text{IH}}$ & $K_{\text{IH}}/K_{\text{IC}}=0.43$ & 0.46 & +7.0 \\
17 & Ti-48Al-2Cr-2Nb & TiAlºÏ½ð & º¬Çâ, À­Éì & ÑÓÉìÂÊËðʧ52\% & 55\% & +5.8 \\
18 & AISI 4140 & ºÏ½ð¸Ö & H$_2$S»·¾³, NACE TM0177 & $\sigma_{\text{th}}/\sigma_y=0.48$ & 0.51 & +6.2 \\
19 & AISI 4340 & ºÏ½ð¸Ö & Ô¤³äÇâ, ¶ÏÁÑÈÍÐÔ & $K_{\text{IC}}$Ͻµ35\% & 33\% & -5.7 \\
20 & 17-4PH²»Ðâ¸Ö & ³ÁµíÓ²»¯ & ¸ßѹÇâ, À­Éì & RRA=0.62 & 0.60 & -3.2 \\
21 & 22CrË«Ïà¸Ö & Ë«Ï಻Ðâ¸Ö & H$_2$S+Cl$^-$, SSRT & $\sigma_{\text{th}}/\sigma_y=0.80$ & 0.83 & +3.8 \\
22 & 25Cr³¬¼¶Ë«Ïà¸Ö & Ë«Ï಻Ðâ¸Ö & H$_2$S+CO$_2$, SSRT & $\sigma_{\text{th}}/\sigma_y=0.85$ & 0.82 & -3.5 \\
23 & Inconel 718 & Äø»ùºÏ½ð & Ô¤³äÇâ, À­Éì & ÑÓÉìÂÊËðʧ22\% & 24\% & +9.1 \\
24 & Inconel 625 & Äø»ùºÏ½ð & ¸ßѹÇâ, Æ£ÀÍ & FCG¼ÓËÙ1.8±¶ & 1.7±¶ & -5.6 \\
25 & Haynes 230 & Äø»ùºÏ½ð & ¶¯Ì¬³äÇâ, SSRT & $\sigma_{\text{th}}/\sigma_y=0.65$ & 0.68 & +4.6 \\
26 & Zr-4 & ﯺϽð & º¬Çâ, À­Éì & ËÜÐÔËðʧ30\% & 28\% & -6.7 \\
27 & Zr-2.5Nb & ﯺϽð & ¸ßѹÇâ, ¶ÏÁÑÈÍÐÔ & $K_{\text{IC}}$Ͻµ25\% & 26\% & +4.0 \\
28 & Fe-9NiµÍÎÂ¸Ö & µÍÎÂ¸Ö & H$_2$S»·¾³, NACE TM0284 & HICÃô¸ÐÂÊ12\% & 11\% & -8.3 \\
29 & Fe-9NiµÍÎÂ¸Ö & µÍÎÂ¸Ö & Òõ¼«³äÇâ, SSRT & $\sigma_{\text{th}}/\sigma_y=0.70$ & 0.73 & +4.3 \\
30 & 13CrÂíÊÏÌå¸Ö & ²»Ðâ¸Ö & H$_2$S+CO$_2$, SSRT & $\sigma_{\text{th}}/\sigma_y=0.50$ & 0.53 & +6.0 \\
\end{longtable}
}
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