مهندسی مکانیک مدرس

مهندسی مکانیک مدرس

ارائه مدل ساختاری برای ورق فولاد زنگ نزن 304 با در نظر گرفتن اثر اندازه در مقیاس میکرو

نوع مقاله : پژوهشی اصیل

نویسندگان
مهدی کریمی فیروزجائی 1
حسن مسلمی نائینی 1
محمدمهدی کسائی 2
محمدجواد میرنیا 3
1 گروه مهندسی ساخت و تولید، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران، ایران
2 گروه مهندسی مکانیک، دانشگاه آزاد اسلامی واحد قزوین، قزوین، ایران
3 گروه مهندسی ساخت و تولید، دانشکده مهندسی مکانیک، دانشگاه صنعتی نوشیروانی، بابل، ایران
10.52547/mme.22.8.519
چکیده
رفتار تغییرشکل ماده در فرایندهای میکرو شکل ­دهی به علت وجود اثر اندازه متفاوت با مقیاس ماکرو است. اثر اندازه در مقیاس میکرو به علت وجود دانه ­های محدود در ناحیه تغییرشکل اتفاق می ­افتد و موجب می­ شود تا رفتار ماده متاثر از ضخامت و اندازه دانه ورق شود. به همین علت، مدل­ های ساختاری متداول توانایی پیش ­بینی رفتار ماده در فرایندهای میکرو شکل­ دهی را ندارند. در این مقاله، مدل ساختاری جدید بر اساس معادله سوئیفت و با در نظر گرفتن اثر اندازه در مقیاس میکرو برای توصیف رفتار کرنش-سختی ورق فولاد زنگ ­نزن 304 ارائه گردید. ارزیابی منحنی جریان نمونه­ های با اندازه دانه مختلف نشان داد که پیش ­بینی تنش جریان ماده با مدل ساختاری جدید به خصوص در کرنش ­های بالا نسبت به مدل موجود بهبود می‏ یابد، به ­طوری که میانگین و بیشینه خطای مدل جدید به ترتیب کم­تر از یک سوم و کم­تر از نصف خطای مدل متداول است. شبیه­ سازی اجزای محدود آزمون کشش میکرو با بکارگیری مدل ساختاری جدید برای بررسی اثر اندازه روی رفتار تغییرشکل نمونه ­ها انجام شد. صحت مدل ساختاری جدید با مقایسه نتایج آزمون­ های تجربی و شبیه ­سازی اجزای محدود ورق­ های با اندازه دانه مختلف مورد تایید قرار گرفت. هم­ چنین، نتایج آزمون کشش نشان داد که تخمین نیروی شکل ­دهی با استفاده از مدل جدید با دقت بالاتری نسبت به مدل­ های متداول و موجود برای ورق­ های با اندازه دانه مختلف و محدوده کرنش ­های بالا انجام می ­شود.
کلیدواژه‌ها
مدل ساختاری
منحنی جریان
میکرو شکل‌دهی
اثر اندازه
مقیاس میکرو

موضوعات

عنوان مقاله English

A constitutive model for stainless steel 304 sheet considering size effect in micro-scale

نویسندگان English

Mehdi Karimi Firouzjaei 1
Hassan Moslemi Naeini 1
Mohammad Mehdi Kasaei 2
Mohammad Javad Mirnia 3
1 Faculty of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran
2 Department of Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
3 Faculty of Mechanical Engineering, Noshirvani University of Technology, Babol, Iran
چکیده English

The deformation behavior of the material in micro-forming processes is different from macro-scale due to the size effect. The size effect in micro-scale appears due to few grains in the deformation region and causes the material behavior to be affected by the thickness and grain size of the sheet. Because of this, conventional constitutive models are not suitable for predicting the material behavior in micro-forming processes. In this paper, a new constitutive model based on the Swift equation and considering size effect in micro-scale is presented to describe the strain-hardening behavior of the stainless steel 304 foil. Comparison of flow stress curves of specimens with different grain sizes showed that the prediction of material flow stress with the new constitutive model is improved compared to the existing model, especially at high strains, so that the average and maximum error of the new model is less than one-third and less than half of the conventional model error, respectively. Finite element simulation of the micro-tensile test was performed using the new constitutive model to investigate the size effect on the deformation behavior of the specimens. The new constitutive model was verified by comparing the results of experimental tests and finite element simulation of sheets with different grain sizes. Also, the results revealed that the estimation of the forming force using the new constitutive model is done with higher accuracy than the conventional and existing model for sheets with different grain sizes and high strain ranges.

کلیدواژه‌ها English

Constitutive Model
Flow stress curve
Micro-forming
Size effect
Micro-scale
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مهندسی مکانیک مدرس
دوره 22، شماره 8
مرداد 1401
صفحه 519-528