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فصلنامه علمی کارافن

شناسایی و مدل سازی فرایند گسترش ترک در مکانیک شکست مواد پلیمری

نوع مقاله : مقاله پژوهشی (کاربردی)

نویسندگان
1 استادیار، گروه مهندسی مکانیک، دانشگاه ملی مهارت، تهران ایران.
2 استادیار، دانشکده مهندسی، دانشگاه زنجان، زنجان، ایران.
چکیده
بررسی خواص مکانیکی مواد پلیمری با توجه به استفاده روزافزون از این مواد، از اهمیت ویژه­ای برخوردار است. در این مقاله فرایند گسترش ترک با استفاده از داده‌های تجربی به‌دست‌آمده از آزمون کششی پلیمر پلی­وینیل­کلراید (PVC) با هدف کاهش تعداد آزمایش‌‌های تجربی شناسایی شده است. در نمونه­های تجربی، پیش‌ترک­ها به روش‌های خان­کشی و کله­زنی ایجاد شده است و نتایج تجربی نیرو برحسب جابه‌جایی ثبت گردیده است. در مرحله بعد چند عملیات پیش‌پردازش ریاضی از جمله یکسان‌سازی فواصل نمونه­برداری با استفاده از روش درون­یابی و انتگرال­گیری به روش ذوزنقه‌ای روی داده‌ها انجام شده است. در مرحله سوم با استفاده از نتایج عددی پردازش‌شده و روش شناسایی حداقل مربعات، مدل ریاضی سیستم یعنی تابع تبدیل حوزه فرکانس گسسته فرایند گسترش ترک، به‌دست آمده است. در نهایت مدل ریاضی به‌دست‌آمده پس از ارزیابی و راستی‌آزمایی با نتایج تجربی دیگر، برای پیش‌بینی فرایند گسترش ترک پیشنهاد شده است. نتایج به‌دست‌آمده نشان می‌دهد که با شناسایی فرایند گسترش ترک برای نمونه‌های محدود، می‌توان از تعداد آزمایش‌های عملی که مستلزم صرف زمان و هزینه زیادی است، جلوگیری کرد. همچنین روش حداقل مربعات دومرحله‌ای مرتبه دوم با تعداد پنج پارامتر به‌صورت امیدوارکننده‌ای قادر به تخمین دینامیک رشد ترک با دقت قابل‌قبول به‌خصوص در نیمه اول فرایند رشد است.   
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Identification and Modeling of the Crack Development Behavior in the Fracture Mechanics of Polymer Materials

نویسندگان English

Elyas Haddadi 1
Abbas Ghayebloo 2
Yaghoub Dadgar Asl 1
1 Assistant Professor, Department of Mechanical Engineering, National University of Skills, Tehran, Iran.
2 Assistant Professor, Faculty of Engineering, University of Zanjan, Zanjan, Iran.
چکیده English

Examining the mechanical properties of polymer materials has particular importance due to the increasing usage of these materials. In this paper, the crack development process was identified using the experimental data obtained from the tensile tests of polyvinyl chloride polymer (PVC) to reduce the experimental test number. Some pre-cracks were created on the experimental samples by slotting and broaching methods and the experimental results of force versus displacement were recorded for each sample. In the next step, some mathematical pre-processing operations including equating the sampling intervals using interpolation and integration using trapezoidal methods were performed on the experimental data. In the third stage, by using the pre-processed data and the Least Squares (LS) identification method, the mathematical model of the system, the frequency domain discrete transfer function of the crack development process, was obtained. Finally, after evaluating and verifying the obtained mathematical model with other experimental results, it was proposed to predict the crack development process. The obtained results showed that by identifying the crack development process for limited samples, it is possible to avoid the number of experimental tests that are time-consuming and costly. In addition, the second-order two-stage least squares method with five unknown parameters was promisingly able to estimate crack development dynamics with acceptable accuracy, particularly in the first half of the development process.

کلیدواژه‌ها English

Identification
Mathematical Modeling
Least Squares Method
Crack Development Behavior Polyvinyl Chloride
Broaching
Slotting
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دوره 21، شماره 3
فنی و مهندسی
پاییز 1403
صفحه 131-150

  • تاریخ دریافت 02 خرداد 1403
  • تاریخ بازنگری 19 تیر 1403
  • تاریخ پذیرش 21 شهریور 1403