نشریه مهندسی مکانیک امیرکبیر

نشریه مهندسی مکانیک امیرکبیر

ماده مرکب چندلایه‌ای ویسکوالاستیک سه بعدی برای تحلیل سازه در کدهای المان محدود

نوع مقاله : مقاله پژوهشی

نویسنده
دانشکده مهندسی مکانیک، دانشگاه گیلان، رشت، ایران،
چکیده
مدل ویسکوالاستیک بولتزمن و معادله مشخصه شاپری با خواص ارتوتروپ برای ماده ویسکوالاستیک بصورت یک انتگرال چند محوری بسط داده شده است. برای حل انتگرال زمانی با بکارگیری سری نمایی پرونی یک روش بازگشتی-تکراری بدست آمد که امکان تخمین هر زمان بر اساس زمان قبل را فراهم می‌کند. بعد از تعیین خواص تک لایه‌ای، با استفاده از تئوری سه‌بعدی لایه‌چینی پاگانو خواص معادل چندلایه‌ای بر اساس آرایش لایه‌ها بصورت صریح حاصل و این خواص به هر نقطه انتگرال‌گیری گوس در المان‌ها اختصاص داده شد. از آنجایی که ماده مرکب چندلایه‌ای ویسکوالاستیک در نرم افزارهای تجاری وجود ندارد مدل سه‌بعدی آن برای کدهای تجاری ارائه شده است. این ماده در اینجا توسط سابروتین ماده انسیس اعمال شده که قابلیت بکارگیری برای هر سازه‌مرکب چندلایه‌ای را با در نظر گرفتن تنها یک المان در ضخامت دارد. برای نمونه فرایند کمانش یک ورق سه‌بعدی با سوراخ تحلیل شد. در ابتدا با منحنی نیرو-خیز در حالت الاستیک، مقایسه ماده چندلایه‌ای موجود در نرم افزار و مدل ماده سابروتین تطابق خوبی را نشان داد. کمانش خزشی برای ورق چندلایه‌ای ویسکوالاستیک با دو آرایش متعامد و متقاطع نیز تحت بارهای اعمالی و نقص های اولیه متفاوت انجام شد و خیز و کاهش طول ورق در مدت زمان طولانی بدست آمد.
کلیدواژه‌ها
موضوعات

عنوان مقاله English

3D Viscoelastic Composite Laminate Material for Finite Element Codes

نویسنده English

Seyed Reza Falahatgar
Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran
چکیده English

The viscoelastic material was presented using Boltzman viscoelastic model and Shapery constitutive equation for orthotropic material with a multidimensional integral. Employing Prony series, solution of the time integral was obtained in the form of a recursive-iterative approach that estimate the current time parameters based on parameters of the preceding time. After finding the lamina properties, overall properties of laminate are obtained with 3D lamination theory of Pagano. These properties are assigned to every integration point of the finite elements. Since this material is not available in standard finite element codes, viscoelastic laminated composite system was developed for commercial codes. The formulation was implemented into ANSYS USERMAT subroutine which is applicable for 3D structures with only one element through the thickness. For instance, buckling problem of a plate with a circular cutout was considered. Force-deflection curves of elastic material were obtained with ANSYS and subroutine material and compared well. For viscoelastic response, creep buckling of viscoelastic plate was obtained for various applied loads and imperfection. Long-term deflections and end-shortenings versus time were illustrated for two different fiber orientations. The results show that for creep bulking, imperfections do not have significant effect on end-shortening.

کلیدواژه‌ها English

Linear Orthotropic Viscoelastic
3D Composite Laminate
ANSYS USERMAT Subroutine
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