مروری بر تئوری پریداینامیک و کاربردهای آن؛ بخش دوم: کاربرد پریداینامیک در تحلیل مسائل مختلف

نوع مقاله : مقاله پژوهشی

نویسندگان

دانشگاه اصفهان

چکیده

در پژوهش‌های منتشر شده، از پریداینامیک برای تحلیل رشد ترک در مواد ترد و شبه‌ترد، تحلیل رفتار پلاستیک و حل معادلات دیفرانسیل استفاده شده است. با توجه به چنین دستاوردهایی، دامنه‌ مسائل قابل ‌بررسی با پریداینامیک روزبه‌روز در حال گسترش است. استفاده از پریداینامیک برای تحلیل مسائل ضربه و انتشار موج از ابتدا مدنظر بوده است. به علت وجود یک طول مشخصه در روابط پریداینامیک، استفاده از آن برای حل مسائل در مقیاس‌های گوناگون مورد توجه قرار گرفته است. برخی از پژوهشگران نیز از مدل‌های چندفیزیکی پریداینامیک برای تحلیل مسائل انتقال حرارت، انتشار و بررسی رفتار سیالات استفاده کرده‌اند. تحلیل گسترش آسیب در مواد مرکب و نیز بررسی مسائل ژئومکانیک از دیگر دستاوردهای استفاده از پریداینامیک است. در کنار تمام این موارد، استفاده از پریداینامیک برای بررسی مسائل زیستی نیز در سال‌های اخیر مورد توجه واقع شده است. در این پژوهش، مقالات منتشر شده با موضوع استفاده از پریداینامیک برای حل مسائل مختلف مرور شده‌اند.

کلیدواژه‌ها

عنوان مقاله [English]

A Review of Peridynamics and its Applications; Part 2: Applications of Peridynamics to the Solution of Different Problems

نویسندگان [English]

  • Pouria Sheikhbahaei
  • Farshid Mossaiby
چکیده [English]

In the published studies, peridynamics has been used to simulate crack growth in brittle and quasi-brittle materials, simulation of plastic behaviour and solution of differential equations. With such achievements, the  extent of problems which can be solved using peridynamics is growing. Peridynamics was intended to analyze the impact and the wave propagation problems since its introduction. Due to existence of the characteristic length in peridynamics relations, it has been used to solve problems in various scales. Some researchers have also used peridynamics multiphysics models to analyze heat transfer, diffusion and fluid behavior problems. Analyzing the damage growth in composite materials and investigation of geomechanical problems are among other achievements of using peridynamics. In addition to all these cases, application of peridynamics to biological problems has also received attention in recent years. This paper reviews the studies on the applications of peridynamics in the solution of different problems.

کلیدواژه‌ها [English]

  • Peridynamics
  • Fracture mechanics
  • Nonlocal model
  • Crack growth
  • Damage

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