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xrightmargin=2em, aboveskip=1em, belowskip=1em } \title{\textbf{΢¹Û½á¹¹Éè¼ÆÖмä¼þ£¨Microstructure Design Middleware£©\\Éè¼Æ¸ÙÒª}} \date{2026Äê3ÔÂ} \begin{document} \maketitle \begin{abstract} ±¾ÎIJÎÕÕоƬµç×ÓÉè¼Æ×Ô¶¯»¯£¨EDA£©Èí¼þµÄ³ÉÊì¼Ü¹¹£¬Ìá³öÃæÏòλ´í¹¤³ÌµÄ¡°Î¢¹Û½á¹¹Éè¼ÆÖмä¼þ¡±Éè¼Æ¸ÙÒª¡£¸ÃÖмä¼þλÓڵײãλ´íÐÔÄÜÊý¾Ý¿â£¨PDK£©ÓëÉϲãÐÐҵרÓÃÉè¼ÆÈí¼þÖ®¼ä£¬Ìṩ´Óºê¹ÛÐÔÄÜÐèÇóµ½Î¢¹Û½á¹¹Éè¼ÆÔÙµ½¹¤ÒÕ²ÎÊýÉú³ÉµÄͨÓúËÐŦÄÜ¡£¸ÙÒªÏêϸ²ûÊöÁËÈí¼þ×ÜÌå¼Ü¹¹¡¢ºËÐÄÄ£¿é£¨ÐÔÄÜÐèÇó½âÎöÆ÷¡¢Î»´í·´ÑÝÇó½âÆ÷¡¢¶à³ß¶È·ÂÕæÒýÇæ¡¢¹¤ÒÕ²ÎÊýÓÅ»¯Æ÷£©¡¢Êý¾Ý½»»»¸ñʽ¶¨Òå¡¢ÏÖÓÐÈí¼þ¸´Ó÷ÖÎö¼°¿ª·¢Â·Ïßͼ¡£±¾Éè¼ÆÖ¼ÔÚΪ»úÐµÖÆÔìҵʵÏÖ¡°Éè¼Æ-ÖÆÔìÉî¶ÈÐͬ¡±µì¶¨Èí¼þ»ù´¡ÉèÊ©£¬Íƶ¯Î»´í¹¤³Ì´ÓÀíÂÛ×ßÏò¹¤³Ìʵ¼ù¡£ \end{abstract} \section{ÒýÑÔ} 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\textbf{Êý¾Ý½»»»²ã}£º¶¨Òå±ê×¼»¯µÄÊäÈëÊä³ö¸ñʽ£¬²¢¼¯³ÉµÚÈý·½CAEÈí¼þ¡£ \item \textbf{¿ÉÊÓ»¯ÓëÑéÖ¤¹¤¾ß}£ºÌṩ΢¹Û½á¹¹¿ÉÊÓ»¯¡¢ÐÔÄÜÔ¤²âÒDZíÅ̼°Éè¼Æ¹æÔò¼ì²é¡£ \end{itemize} \section{ºËÐÄÄ£¿éÉè¼Æ} \subsection{ÐÔÄÜÐèÇó½âÎöÆ÷} ¸ÃÄ£¿é¸ºÔð½âÎöÉè¼ÆÊ¦ÊäÈëµÄºê¹ÛÐÔÄÜÐèÇó£¬Éú³É¿Õ¼äÁ¬ÐøµÄÐÔÄÜÐèÇ󳡡£ÊäÈë¸ñʽ²ÉÓÃJSON£¬Ê¾Àý½á¹¹ÈçÏ£º \begin{lstlisting}[language=Python, caption=ÐÔÄÜÐèÇóÊäÈëʾÀý] { "component": "shaft", "regions": [ { "location": {"type": "surface", "depth": 0.5}, "yield_strength": 800, // MPa "hardness": 60, // HRC "thermal_conductivity": 50 // W/m¡¤K }, { "location": {"type": "core", "radius": 30}, "toughness": 50, // J "thermal_conductivity": 50 } ], "loads": { "torque": 10000, // Nm "temperature": 700 // ¡ãC } } \end{lstlisting} ½âÎöÆ÷Êä³öΪÀëÉ¢»¯µÄÐÔÄÜÐèÇ󳡺¯Êý $\sigma_{\text{req}}(\mathbf{x})$, $\kappa_{\text{req}}(\mathbf{x})$ µÈ£¬¹©ºóÐøÄ£¿éµ÷Óᣠ\subsection{λ´í·´ÑÝÇó½âÆ÷£¨ºËÐÄËã·¨£©} »ùÓÚλ´íÇ¿»¯ÀíÂÛ£¨Taylor¹«Ê½£©¼°µ×²ãPDKÖеIJÄÁϲÎÊý£¬´ÓÐÔÄÜÐèÇ󳡷´ÑݳöËùÐèµÄλ´íÃܶȳ¡ $\rho_{\text{req}}(\mathbf{x})$¡£ »ù´¡¹ØÏµÊ½£¨Taylor¹«Ê½£©£º \begin{equation} \sigma_y = \sigma_0 + \alpha G b \sqrt{\rho} \label{eq:taylor} \end{equation} ÆäÖÐ $\alpha$, $G$, $b$ Ϊ²ÄÁϳ£Êý¡£·´ÑÝÎÊÌâ¿É±íÊöΪ£º \begin{equation} \rho_{\text{req}}(\mathbf{x}) = \mathcal{F}^{-1}\left(\sigma_{\text{req}}(\mathbf{x}), \kappa_{\text{req}}(\mathbf{x}), \dots\right) \label{eq:inverse} \end{equation} ʽÖÐ $\mathcal{F}$ Ϊ¡°Î»´í-ÐÔÄÜ¡±Ó³Éä¹ØÏµ£¬ÓɵײãPDKÌṩ¡£Çó½â²ÉÓÃÓÐÏÞÔªÀëÉ¢+·ÇÏßÐÔÓÅ»¯Ëã·¨£¬Ô¼ÊøÌõ¼þ°üÀ¨²ÄÁϼ«ÏÞ¡¢¹¤ÒÕ¿ÉÐÐÐԵȡ£ \begin{lstlisting}[language=Python, caption=λ´í·´ÑÝÇó½âÆ÷½Ó¿Ú] class DislocationInversionSolver: def solve(self, req_field, material_id, constraints): """ ÊäÈ룺ÐÔÄÜÐèÇ󳡣¬²ÄÁÏID£¬Ô¼ÊøÌõ¼þ Êä³ö£ºÎ»´íÃܶȳ¡£¨ÀëÉ¢µãÔÆ£© """ params = pdk.get_material_params(material_id) rho_field = optimizer.minimize(req_field, params, constraints) return rho_field \end{lstlisting} \subsection{¶à³ß¶È·ÂÕæÒýÇæ} Ϊȷ±£Éè¼Æ·½°¸µÄ¿É¿¿ÐÔ£¬Ðèͨ¹ý¶à³ß¶È·ÂÕæ½øÐÐÑéÖ¤¡£¸ÃÒýÇæ¼¯³É²»Í¬³ß¶ÈµÄ·ÂÕæ¹¤¾ß£¬ÐγÉÑéÖ¤±Õ»·¡£ \begin{table}[htbp] \centering \caption{¶à³ß¶È·ÂÕæ²ã´ÎÓëÑéÖ¤ÄÚÈÝ} \begin{tabular}{|l|l|l|} \hline \textbf{³ß¶È} & \textbf{·ÂÕæ·½·¨} & \textbf{ÑéÖ¤ÄÚÈÝ} \\ \hline Ô×Ó³ß¶È & ·Ö×Ó¶¯Á¦Ñ§£¨MD£© & λ´íºËÐĽṹ¡¢Îö³öÏà½çÃæÎȶ¨ÐÔ \\ ΢¹Û³ß¶È & Àëɢλ´í¶¯Á¦Ñ§£¨DDD£© & λ´í×é̬ÑÝ»¯¡¢Èû»ýÐγɡ¢Ó¦Á¦-Ó¦±ä \\ ½é¹Û³ß¶È & ¾§ÌåËÜÐÔÓÐÏÞÔª£¨CPFEM£© & Ö¯¹¹ÑÝ»¯¡¢¶à¾§ÏìÓ¦ \\ ºê¹Û³ß¶È & ÓÐÏÞÔª·ÖÎö£¨FEA£© & Áã¼þÕûÌåÁ¦Ñ§ÐÔÄÜ¡¢Æ£ÀÍÊÙÃüÔ¤²â \\ \hline \end{tabular} \end{table} ÒýÇæÍ¨¹ý±ê×¼»¯½Ó¿Úµ÷ÓÃÍⲿÇó½âÆ÷£¨ÈçLAMMPS¡¢ABAQUSµÈ£©£¬²¢½«½á¹û·´À¡»ØÖ÷Á÷³Ì¡£ \subsection{¹¤ÒÕ²ÎÊýÓÅ»¯Æ÷} ½«Î»´íÃܶÈÐèÇó³¡ $\rho_{\text{req}}(\mathbf{x})$ ת»¯Îª¿ÉÖ´ÐеŤÒÕ²ÎÊý³¡¡£µ÷ÓõײãPDKÖеŤÒÕ-΢¹Û½á¹¹Ó³ÉäÄ£ÐÍ£º \begin{equation} \rho_{\text{pred}} = f(P, v, \dot{T}, \dots) \label{eq:process_map} \end{equation} ÓÅ»¯Ä¿±êΪ×îС»¯Ô¤²âλ´íÃܶÈÓëÐèÇóλ´íÃܶȵIJîÒ죬ͬʱÂú×ãÉ豸ÄÜÁ¦Ô¼Êø¡£ \begin{lstlisting}[language=Python, caption=¹¤ÒÕ²ÎÊýÓÅ»¯Æ÷½Ó¿Ú] class ProcessOptimizer: def optimize(self, rho_field): # µ÷ÓÃPDKÖеŤÒÕÄ£ÐÍ params = pdk.get_process_model(material_id) # ÓÅ»¯µÃµ½¹¤ÒÕ²ÎÊý³¡ power_field, speed_field, cooling_field = self.inverse_map(rho_field, params) # Éú³ÉG-code»ò»úÆ÷ÈË·¾¶ gcode = self.generate_path(power_field, speed_field, cooling_field) return gcode \end{lstlisting} \section{Êý¾Ý½»»»¸ñʽ¶¨Òå} ΪʵÏÖÄ£¿é¼ä¼°ÓëµÚÈý·½Èí¼þµÄÐͬ£¬¶¨ÒåÒÔϱê×¼Êý¾Ý¸ñʽ£º \begin{longtable}{|l|l|p{6cm}|} \hline \textbf{ÎļþÀàÐÍ} & \textbf{¸ñʽÀ©Õ¹Ãû} & \textbf{ÃèÊö} \\ \hline Éè¼ÆÊäÈë & .mdl£¨Microstructure Design Language£© & »ùÓÚJSONµÄºê¹ÛÐÔÄÜÐèÇóÃèÊö \\ ΢¹Û½á¹¹³¡ & .msf£¨Microstructure Field£© & ÀëÉ¢»¯µÄλ´íÃܶȳ¡¡¢¾§Á£³ß´çµÈÊý¾Ý£¨HDF5¸ñʽ£© \\ ¹¤ÒÕ²ÎÊý³¡ & .pcd£¨Process Control Data£© & °üº¬¼¤¹â¹¦ÂÊ¡¢É¨ÃèËÙ¶È¡¢²ã¼äζȵȵĿռä·Ö²¼£¨XML£© \\ ÖÆÔì´úÂë & .gcode / .clf & É豸¿ÉÖ´ÐеÄÖ¸Á \\ ·ÂÕæÑéÖ¤±¨¸æ & .vrpt£¨Verification Report£© & °üº¬·ÂÕæ½á¹û¡¢Æ«²î·ÖÎöµÈ \\ \hline \end{longtable} \section{ÏÖÓÐÈí¼þ¸´Ó÷ÖÎö} Ϊ¼Ó¿ì¿ª·¢½ø¶È£¬¿É¸´ÓÃÒÔϳÉÊìÈí¼þ×÷Ϊ»ù´¡×é¼þ£º \begin{table}[htbp] \centering \caption{ÏÖÓÐÈí¼þ¸´Óý¨Òé} \begin{tabular}{|l|l|l|} \hline \textbf{¹¦ÄÜÐèÇó} & \textbf{¿É¸´ÓÃÈí¼þ} & \textbf{¸´Ó÷½Ê½} \\ \hline ÍØÆËÓÅ»¯£¨¼¸ºÎ½á¹¹£© & nTopology, Altair OptiStruct & APIµ÷Óã¬Êä³ö¼¸ºÎÄ£ÐÍ \\ ºê¹ÛÓÐÏÞÔª·ÖÎö & ANSYS, COMSOL, CalculiX£¨¿ªÔ´£© & ¼¯³ÉÇó½âÆ÷£¬ÓÃÓÚºê¹ÛÐÔÄÜÑéÖ¤ \\ ÊýÖµÓÅ»¯ & SciPy, NLopt & Ö±½Óµ÷Óã¬ÓÃÓÚ·´ÑÝÓëÓÅ»¯ \\ »úÆ÷ѧϰ¿ò¼Ü & TensorFlow, PyTorch & ѵÁ·´úÀíÄ£ÐÍ£¬¼ÓËÙÓ³Éä \\ ¿ÉÊÓ»¯ & ParaView, VTK & ¼¯³É£¬ÓÃÓÚ΢¹Û½á¹¹¿ÉÊÓ»¯ \\ \hline \end{tabular} \end{table} ÐèÍêÈ«×ÔÑеĺËÐÄÄ£¿é°üÀ¨£ºÎ»´í·´ÑÝÇó½âÆ÷¡¢¹¤ÒÕ-΢¹Û½á¹¹Ó³ÉäÄ£ÐÍ£¨ÒÀÀµPDK£©¡¢Éè¼Æ¹æÔò¼ì²éÆ÷¡£ \section{¿ª·¢Â·Ïßͼ½¨Òé} \begin{longtable}{|l|l|p{6cm}|} \hline \textbf{½×¶Î} & \textbf{Ö÷ÒªÈÎÎñ} & \textbf{ÒÀÀµÌõ¼þ} \\ \hline ½×¶ÎÒ»£¨3-6¸öÔ£© & PDK½Ó¿Ú±ê×¼»¯¡¢¹¤ÒÕ²ÎÊýÓÅ»¯Æ÷ÔÐÍ & µ×²ãPDKÊý¾Ý¿ÉÓà \\ ½×¶Î¶þ£¨6-12¸öÔ£© & λ´í·´ÑÝÇó½âÆ÷¡¢ÓënTopology/ANSYS¼¯³É & ÊýѧÓÅ»¯¿â \\ ½×¶ÎÈý£¨12-18¸öÔ£© & ¶à³ß¶È·ÂÕæÒýÇæ¼¯³É¡¢Éè¼Æ¹æÔò¼ì²éÆ÷ & ¿ªÔ´Çó½âÆ÷·â×° \\ ½×¶ÎËÄ£¨18-24¸öÔ£© & ÍêÕûÖмä¼þ·¢²¼¡¢ÐÐÒµ±ê×¼ÍÆ½ø & ²úÒµÁªÃËÖ§³Ö \\ \hline \end{longtable} \section{½áÂÛ} ±¾ÎIJÎÕÕоƬEDAÈí¼þ¼Ü¹¹£¬Ìá³öÁË΢¹Û½á¹¹Éè¼ÆÖмä¼þµÄÍêÕûÉè¼Æ¸ÙÒª¡£¸ÃÖмä¼þ×÷ΪÁ¬½Óµ×²ãPDKÓëÉϲãÐÐÒµÈí¼þµÄºËÐÄÊàŦ£¬½«ÊµÏÖ´Óºê¹ÛÐÔÄÜÐèÇóµ½Î¢¹Û½á¹¹Éè¼ÆÔÙµ½¹¤ÒÕ²ÎÊýÉú³ÉµÄ×Ô¶¯»¯±Õ»·¡£±¾Éè¼ÆÎªºóÐøÈí¼þ¿ª·¢ÌṩÁËÇåÎúµÄ¼¼Êõ·Ïߣ¬ÓÐÍûÍÆ¶¯Î»´í¹¤³Ì´ÓÀíÂÛ×ßÏò¹¤ÒµÊµ¼ù¡£ \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. \bibitem{pdk} ¡°Ä³ÆóÒµ¼¤¹âÈÛ¸²É豸PDKÎĵµÄ£°å¡±£¬2026. \bibitem{eda} ¡°EDAÈí¼þ¼Ü¹¹Éè¼Æ¡±£¬µç×Ó¹¤Òµ³ö°æ£¬2020. \end{thebibliography} \end{document} |
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