مدل جدید پری‌داینامیک مبتنی بر پیوند با قابلیت مدل‌سازی رفتار الاستوپلاستیک

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشگاه سمنان

چکیده

معادلات مکانیک کلاسیک شامل مشتقات جابه‌جایی می‌باشند، که نوعاً این امر موجب عدم توانایی در پیش‌بینی عیوب موجود در سازه‌های آسیب دیده می‌گردد. امروزه جهت رفع این چالش در شرایط خاص حاکم بر نوک ترک و ناپیوستگی‌های موجود در ماده، تئوری پری‌داینامیک به منظور مدل‌سازی آسیب‌های پیش‌رونده و گسیختگی در سازه‌های ترک‌خورده مطرح شده است. به جهت عدم توانایی پری‌داینامیک مبتنی بر پیوند برای پیش‌بینی آسیب در مواد نرم، هدف اصلی این مقاله ارائه یک مدل جدید در پری‌داینامیک مبتنی بر پیوند با قابلیت مدل‌سازی مواد الاستوپلاستیک به کمک روش خواص مادی متغیر است. به منظور اعتبارسنجی مدل، نتایج مدل پری‌داینامیک پیشنهادی برای دو مثال از صفحه‌ای با یک سوراخ مرکزی و نیز صفحه‌ای با یک ترک مرکزی تحت کشش با نتایج حاصل از نرم‌افزار آباکوس بر اساس مفروضات مکانیک پیوسته بررسی می‌گردند. نتایج مربوط به تنش فون‌میسز، اندازه ناحیه پلاستیک، کرنش پلاستیک معادل و جابه‌جایی‌های مدل پیشنهادی در مقایسه با نتایج حاصل از روش اجزای‌ محدود، مطابقت خوبی را نشان دادند، که بیان‌گر دقت خوب مدل پیشنهادی است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

A New Bond-Based Peridynamic Model with the Ability to Model Elastoplastic Behavior

نویسندگان [English]

  • Mohammad Hadi Safari Naderi
  • Ahmad Ghasemi Ghalebahman
  • Meisam shakouri
Semnan University
چکیده [English]

The classical mechanics equations include displacement derivatives, which usually causes the inability to predict defects in damaged structures. Nowadays, in order to solve this challenge in the special conditions governing the crack tip and the discontinuities in the material, the theory of Peridynamics has been proposed to model progressive damage and rupture in cracked structures. Due to the inability of bond-based Peridynamics to predict failure in ductile materials, the main purpose of this paper is to present a new bond-based Peridynamics model with the ability to model elastoplastic materials using Variable Material Property method. For validation of the model, the results of the proposed Peridynamics model of two examples of a plate with a central hole and a plate with a central crack under tension are checked with those of ABAQUS software based on the assumptions of the continuum mechanics. The results related to von Mises stress, plastic zone size, equivalent plastic strain and displacements of the proposed model showed a good agreement as compared to the results by the finite element method, which indicates the good accuracy of the proposed model.

کلیدواژه‌ها [English]

  • Bond-based Peridynamics
  • Variable Material Properties approach
  • Elastoplastic modeling
  • Von Mises stress
  • Finite Element Method

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