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\title{\textbf{λ´íÖÆÔìÔÚ»úÐµÖÆÔìÁìÓòÈ«Æ×ϵӦÓõļ¼Êõ¾­¼Ã·ÖÎö}}

\date{2026Äê3ÔÂ}

\begin{document}

\maketitle

\begin{abstract}
λ´íÖÆÔ졪¡ªÒÔλ´íÃܶÈΪºËÐÄÉè¼Æ²ÎÊý£¬Í¨¹ýÏȽøÖÆÔì¼¼ÊõÔÚÁã¼þÄÚ²¿¹¹½¨ÌݶÈ΢¹Û½á¹¹¡ª¡ªÍ»ÆÆÁË´«Í³ÖÆÔì¡°ÐÔÄܾùÔÈÎÞÌݶȡ±µÄ¸ù±¾¾ÖÏÞ£¬ÊµÏÖÁËÁ¦Ñ§ÐÔÄܵİ´ÐèÉè¼Æ¡£ÕâÒ»·¶Ê½¸³Óè»úÐµÖÆÔìÒµ¸²¸ÇÈ«Æ×ϵӦÓõÄÄÜÁ¦£º´Ó¼«¶Ë³É±¾Ãô¸ÐµÄ´ó×Ú±ê×¼¼þ£¬µ½¼«¶ËÐÔÄÜÓÅÏȵĸ߶˶¨ÖƼþ£¬¾ù¿Éͨ¹ý²»Í¬µÄ¹¤ÒÕ×éºÏʵÏÖÐÔÄÜÔ¾Éý¡£ÎªÏµÍ³¹ÀÁ¿ÕâһȫÆ×ϵDZÁ¦£¬±¾ÎÄѡȡÆ×ϵÁ½¶ËµÄµäÐ͹¤¼þ¡ª¡ªÆû³µ°ëÖᣨ³É±¾Ãô¸Ð¶Ë£©ºÍº½¿ÕÎÐÂÖÅÌ£¨ÐÔÄÜÓÅÏȶˣ©¡ª¡ª×÷ΪÀýÖ¤£¬Ïêϸ²ûÊöÆäÔ­Àí¡¢¹¤ÒÕÓë¾­¼ÃÐÔ¡£×ó¶Ë°¸Àý²ÉÓûùÓÚÏÖÓжÍÔì²úÏßµÄԭλÈÈ-Á¦ñîºÏµ÷¿Ø·½°¸£¬Ñ¡ÓÃ38MnVS·Çµ÷Öʸ֣¬Í¨¹ýÌݶȼÓÈÈ¡¢·ÇµÈζÍÔìºÍ¿ØÀäÎö³öʵÏÖо²ã/¹ý¶É²ã/±í²ãλ´íÌݶȣ¬ÔÚ²»Ôö¼ÓÉ豸Ͷ×ʵÄǰÌáÏ£¬µ¥¼þ³É±¾½µµÍ30Ôª¡¢¼õÖØ30\%¡¢Æ£ÀÍÊÙÃüÌáÉý40\%¡£ÓҶ˰¸Àý²ÉÓó¬¸ßËÙ¼¤¹âÈÛ¸²£¨EHLA£©¼¼Êõ£¬Í¨¹ý³É·ÖÓëλ´íÌݶÈÉè¼ÆÊµÏÖ¼õÖØ20\%¡¢¸ßÎÂÈä±äÊÙÃüÌáÉý200\%£¬Ëäµ¥¼þ³É±¾Ôö¼Ó76\%£¬µ«È«ÉúÃüÖÜÆÚ³É±¾½µµÍ30\%ÒÔÉÏ¡£Á½¸ö°¸Àý¹²Í¬Ö¤Ã÷£¬Î»´íÖÆÔì¡°ÌìÈ»¼õÉÙÓÃÁÏ¡±µÄºËÐÄÓÅÊÆ¿ÉÔÚÈ«Æ×ϵÖÐת»¯Îª¿ÉÁ¿»¯µÄ¾­¼Ã¼ÛÖµ¡£ÔÚ´Ë»ù´¡ÉÏ£¬±¾ÎÄÌá³ö¡°³É±¾-ÐÔÄÜ-²úÁ¿¡±Èýά¾ö²ßͼÆ×£¬Ö¸³ö´ÓÁ½¶Ë¿ÉÏßÐÔ²åÖµ³ö¸²¸Ç¹¤³Ì»úе¡¢Èü³µ¡¢·çµçµÈÖмäÁìÓòµÄ¼¼Êõ·½°¸¡£Î»´íÖÆÔì²¢·Ç¹Ì¶¨¹¤ÒÕ·Ïߣ¬¶øÊÇÒ»Ì׿ɸù¾Ý²úÆ·×ø±êÁé»îÅäÖõÄÁ¬Ðø¼¼ÊõÆ×ϵ£¬±ÊÕ߾ݴ˶ԻúÐµÖÆÔìÒµµÄÈ«Æ×ϵӰÏì½øÐÐÁËÁ¿»¯¹ÀÁ¿¡£
\end{abstract}

\section{ÒýÑÔ}
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\section{ÀíÂÛ»ù´¡£ºÎ»´íµÄ¿ÉÉè¼ÆÐÔÓë΢¸´ºÏ½á¹¹}
λ´íÃÜ¶È $\rho$ Óë²ÄÁÏÇ¿¶ÈÂú×ãTaylorÓ²»¯¹«Ê½\cite{taylor1934}£º
\begin{equation}
\sigma_y = \sigma_0 + \alpha G b \sqrt{\rho}
\label{eq:strength}
\end{equation}
ÆäÖÐ $\alpha$ Ϊ³£Êý£¬$G$ Ϊ¼ôÇÐÄ£Á¿£¬$b$ Ϊ°ØÊÏʸÁ¿¡£Í¨¹ýµ÷¿Ø¹¤ÒÕ²ÎÊý£¨Î¶ȡ¢Ó¦±äËÙÂÊ¡¢ÀäÈ´ËÙÂÊ£©£¬¿ÉÔÚ $10^{10}$¨C$10^{15}\ \mathrm{m}^{-2}$ ·¶Î§ÄÚÁ¬Ðøµ÷½Úλ´íÃܶȡ£

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\begin{itemize}
    \item \textbf{о²ã}£ºµÍλ´íÃܶȣ¨$\rho \approx 10^{12}\ \mathrm{m}^{-2}$£©£¬ÌṩÈÍÐÔ£»
    \item \textbf{¹ý¶É²ã}£ºÎ»´íÃܶÈÌݶȣ¨$10^{12} \to 10^{14}\ \mathrm{m}^{-2}$£©£¬»º½âÓ¦Á¦¼¯ÖУ»
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\subsection{»ù×¼¹¤¼þÓëÉè¼ÆÄ¿±ê}
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\subsection{¼õÖØ30\%µÄÍêÕûÀíÂÛÍÆµ¼}
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\begin{equation}
T_{\max} = \frac{\pi D^3}{16} \tau_{\max}
\label{eq:torque}
\end{equation}
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\begin{equation}
T_0 = \frac{\pi \times 80^3}{16} \times 372 = 10000 \times 10^3 \ \text{N¡¤mm}
\label{eq:verify}
\end{equation}

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\begin{equation}
\Delta \sigma = \alpha G b \sqrt{\rho} = 0.3 \times 80\times10^9 \times 0.25\times10^{-9} \times \sqrt{5\times10^{14}} \approx 134 \ \text{MPa}
\label{eq:delta}
\end{equation}
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\label{eq:new_dia}
\end{equation}
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\label{eq:weight_reduction}
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\section*{²Î¿¼ÎÄÏ×}
\begin{thebibliography}{99}
\bibitem{taylor1934} Taylor G I. The mechanism of plastic deformation of crystals. Part I.¡ªTheoretical. \emph{Proceedings of the Royal Society of London A}, 1934, 145(855): 362-387.
\bibitem{kocks1975} Kocks U F. Laws for work-hardening and low-temperature creep. \emph{Journal of Engineering Materials and Technology}, 1975, 98(1): 76-85.
\bibitem{arshenk2015} Arsenlis A, Parks D M. Modeling the evolution of crystallographic dislocation density in crystal plasticity. \emph{Journal of the Mechanics and Physics of Solids}, 2004, 52(6): 1213-1246.
\bibitem{wang2020} Wang Y M, Voisin T, McKeown J T, et al. Additively manufactured hierarchical stainless steels with high strength and ductility. \emph{Nature Materials}, 2020, 19(1): 63-71.
\bibitem{zhang2019} ÕÅijij. 38MnVS·Çµ÷ÖÊ¸ÖÆû³µ°ëÖáµÄÑÐÖÆ. \emph{Æû³µ¹¤ÒÕÓë²ÄÁÏ}, 2019(5): 34-38.
\bibitem{custeel2014} ¶Í¸ÖÇúÖáÉú²úÖеļ¼Êõ½µ±¾Í¾¾¶. ÖйúÁªºÏ¸ÖÌúÍø, 2014.
\bibitem{¹ú28417} ¹ú/T 28417-2012 Æû³µ°ëÖá¼¼ÊõÌõ¼þ. Öйú±ê×¼³ö°æÉç, 2012.
\bibitem{liu2023} Liu L, Ding Q, Zhong X, et al. Dislocation network in additive manufactured metals: a review. \emph{International Journal of Extreme Manufacturing}, 2023, 5(2): 022001.
\end{thebibliography}

\end{document}
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