تأثیر چگالی نابجایی‌ها بر نمودار حد شکل‌دهی پیش‌بینی‌شده به روش پلاستیسیته‌ بلوره‌ای

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکترا دانشکده مهندسی مکانیک دانشگاه گیلان رشت ایران

2 گیلان*مهندسی مکانیک

3 دانشکده مهندسی مکانیک/دانشگاه گیلان/رشت/ایران

چکیده

یکی از مهم‌ترین و پرکاربردترین ابزارها برای پیش‌بینی رفتار ورق‌ها، نمودار حد شکل‌دهی است. مدل مارشینیاک-کوزینسکی یکی از روش‌های پیش‌بینی است که می‌تواند با معادلات پدیدار شناختی یا از طریق معادلات مربوط به پلاستیسیته بلورهای برای دستیابی به نتایج موردنظر ترکیب شود. در این تحقیق، تالش شده است که از ترکیب مستقیم روش مارشینیاک-کوزینسکی با پلاستیسته بلورهای برای رسم نمودارهای حد شکل‌دهی استفاده شود. روش مستقیم به علت حالت خاص معادلات ریاضی مربوط به پیش‌بینی نمودار حد شکل‌دهی انتخاب شده است. در این تحقیق از فلز چند بلوره مکعبی مرکز وجوه پر، استفاده شده است، بنابراین روش تیلور برای چندبلوره‌ها می‌تواند مورداستفاده قرار گیرد. هرچند این روش برای توصیف پلاستیسیته، از تعاملات بین بلوره‌ها صرف‌نظر کرده ولی با ساده‌سازی نظریه یکنواختی کرنش، هزینه محاسباتی را کاهش داده است. در این تحقیق دو روش نابجایی‌ها و پلاستیسته چندبلوره‌ها توسط راهکار جدیدی ادغام شده‌اند. فقط فرآیند سخت شدن بر اساس نابجایی‌ها مدل شده و کل تحلیل بر اساس پلاستیسیته بلورهای وابسته به نرخ انجام شده است. برای اولین بار نمودار حد شکل‌دهی با در نظر گرفتن اثر چگالی نابجایی‌ها رسم شده است و نتایج نشان داده است که در نظر گرفتن اثر چگالی نابجایی‌ها در تغییرات مقاومت برشی، باعث نزدیک شدن نمودارهای حد شکل‌دهی به مقادیر تجربی می‌شود.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

e Limit Forming on Density Dislocation of Effect T

نویسندگان [English]

  • sedigheh Mohamadnejad 1
  • Ali Basti 2
  • Reza Ansari 3
1 Phd student,Faculty of mechanical engineering university of Guilan, rasht ,iran
3 Faculty of mechanical engineering /University of Guilan/rasht /Iran
چکیده [English]

One of the most important and widely used tools to predict the behavior of sheets is   the forming limit diagram. The Marciniak-Kuczynski model is one of the prediction methods, which can be combined with the phenomenological or the crystal plasticity equations to achieve the desired results. In this research, to predict the forming limit diagram, the direct combination of the Marciniak- Kuczynski method with the crystal plasticity has been applied. The direct method is chosen due to the particular state of the mathematical equations associated with forming limit diagram. In this study a face-centered cubic polycrystalline metal has been used here, so, the Taylor method for the polycrystals can be used. Although this method ignores the interactions between the crystals to describe plasticity, it can also reduce the computational cost by simplifying the strain uniformity theory. In this study, polycrystal plasticity and dislocation methods have been merged in a new way. Only the hardening process is modeled based on the dislocation density and its modifications, and the entire analysis is based on the rate-dependent crystal plasticity. For the first time, the forming limit diagram is plotted to take into account the effect of dislocation density, and the results show that considering the effect of the dislocation density on the shear strength changes, the forming limit diagram formulation becomes nearer to the experimental values.

کلیدواژه‌ها [English]

  • Dislocations
  • Forming Limit Diagram
  • Face-centered cubic materials: Crystal Plasticity
  • Taylor Method
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