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Q^{-1} = \underbrace{A \rho \frac{\omega\tau_d}{1+(\omega\tau_d)^2}}_{\text{×èÄáÐÔÄÜ}} \label{eq:damping} \end{equation} \subsection{ÈÈѧÁìÓòͨÓùØÏµ£¨¿É²Ã¼ôÐÔ»ù´¡£©} \begin{equation} \kappa = \kappa_0 \left(1 - \beta_{\text{th}} \rho \right), \quad \beta_{\text{th}} = \beta_{\text{th}}^0 \cdot \frac{G b^2}{k_B} \label{eq:thermal} \end{equation} \subsection{µçѧÁìÓòͨÓùØÏµ£¨¿É¶¨ÖÆÐÔ»ù´¡£©} \begin{equation} \sigma = \sigma_0 \left(1 - \beta_{\text{el}} \rho \right), \quad \beta_{\text{el}} = \beta_{\text{el}}^0 \cdot \frac{\hbar}{e^2} \cdot \frac{G b^2}{E_F} \label{eq:elec} \end{equation} \subsection{»¯Ñ§ÁìÓòͨÓùØÏµ£¨¿Éѱ»¯ÐÔ»ù´¡£©} \begin{equation} D_{\text{H}} = D_{\text{H}}^0 \exp\left(-\frac{E_{\text{trap}} \rho}{k_B T}\right), \quad E_{\text{trap}} = E_{\text{trap}}^0 \cdot \frac{G b^3}{k_B} \label{eq:hydrogen} \end{equation} \subsection{¶à³¡ñîºÏµÄͨÓÃÐÎʽ£¨¿É±à¼ÐÔ»ù´¡£©} 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ÁìÓò & Ô¤²âÖµ & ʵÑéÖµ \\ \midrule \endhead \bottomrule \endfoot 1 & CrB\(_2\)/CuÍ¿²ãÔØÁ÷Ħ²ÁÄ¥ËðÂÊ£¨\(\times10^{-4}\) mm\(^3\)/N¡¤m£© & Á¦Ñ§ & 1.42 & 1.37 \\ 2 & ÀäÔþ´¿Íλ´íÃܶȣ¨\(\times10^{14}\) m\(^{-2}\)£© & Á¦Ñ§ & 2.3 & 2.1 \\ 3 & Ti-6Al-4VÇü·þÇ¿¶È¹±Ï×£¨MPa£© & Á¦Ñ§ & 440 & 420 \\ 4 & ´¿ÍÈȵ¼ÂʽµµÍ£¨ÀäÔþ̬£¬\%£© & ÈÈѧ & 11.2 & 12 \\ 5 & Al-1Mgµ¼µçÂÊ£¨\%IACS£© & µçѧ & 36.5 & 38 \\ 6 & Cu-4TiʱЧ̬µ¼µçÂÊ£¨\%IACS£© & µçѧ & 43.8 & 42 \\ 7 & ÖÐÃ̸ÖÇâ´àÖ¸Êý£¨HEI£¬\%£© & »¯Ñ§ & 71.3 & 79.2 \\ \end{longtable} } ×¢£ºÊµÑéÊý¾ÝÀ´Ô´ÓÚ¹«¿ªÎÄÏ×£¬Ô¤²âÖµÓɱ¾Îijõ²½¹«Ê½¼ÆËã¡£Êý¾ÝÓÐÏÞ£¬Îó²î·¶Î§5-15\%£¬½ö¹©Õ¹Ê¾Ñ§¿ÆÑо¿µÄ±ØÒªÐÔ£¬²»×÷ΪÉè¼ÆÒÀ¾Ý¡£ \begin{thebibliography}{99} \bibitem{yao2022} Yao Y, et al. Effect of warm rolling on microstructures and properties of the high strength invar alloy. \textit{Journal of Materials Research and Technology}, 2022, 19: 2345-2356. \bibitem{park2020} Park T M, et al. The possibility of enhanced hydrogen embrittlement resistance of medium-Mn steels by addition of micro-alloying elements. \textit{Materials Characterization}, 2020, 166: 110386. \bibitem{wang2024} Wang Y Q, et al. Improved resistance to hydrogen embrittlement in the nugget zone of friction stir welded medium Mn steel via post-welding annealing. \textit{Corrosion Science}, 2024, 227: 111786. \bibitem{shechtman1984} Shechtman D, et al. Metallic phase with long-range orientational order and no translational symmetry. \textit{Physical Review Letters}, 1984, 53: 1951. \end{thebibliography} \end{document} |
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