IJE TRANSACTIONS C: Aspects Vol. 31, No. 9 (September 2018) 1498-1504    Article in Press

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W. Lin, H. Wang and Y. Zhang
( Received: February 12, 2018 – Accepted in Revised Form: April 26, 2018 )

Abstract    Characterization of properties of composites has attracted a great deal of attention towards exploring their applications in engineering. The purpose of this work is to study the difference of two computational microstructure models which are widely used for determining effective transverse elastic properties of unidirectional fiber reinforced composites. The first model based on the classic mechanics of materials permits free unloaded opposite boundaries in the unit cell; while the second one introduces straight-edge constraints in the unit cell to represent interactions of neighboring cells during deformation. The two approaches are firstly verified by the periodic circular hole problems. Then three microstructures are taken into consideration including the circular fibers, square fibers, and circular fiber clusters periodically embedded in the matrix and subsequently are solved by finite element analysis. A comparison of the numerical results demonstrated that the two computational models with and without periodic conditions can give different predictions on the effective elastic properties of composite for both low and high fiber volume fractions, especially for the effective Poisson’s ratio of composite. Applying periodic straight-edge constraints after deformation can prevent any over-constrained conditions in the numerical model and give more stable results.


Keywords    Fiber-reinforced Composite, Effective Transverse Elastic Properties, Free Boundary, Straight-edge Boundary, Finite Element



مشخصه خواص کامپوزیت‌ها توجه زیادی به مطالعه برنامه‌های کاربردی آن در مهندسی دارد. هدف از این کار مطالعه تفاوت دو مدل ریزساختار محاسباتی است که به طور گسترده‌ای برای تعیین خواص کششی موثر برای کامپوزیت‌های تقویت شده فیبری همسو استفاده می‌شود. اولین مدل مبتنی بر مکانیک کلاسیک مواد مجاز آزادانه تخلیه مرزهای مخالف در سلول واحد است. در حالی که دومین محدودیت‌های خطی را در سلول واحد برای نشان دادن تعاملات سلول‌های اطراف در طی تغییر شکل می‌دهد. این دو روش ابتدا توسط طرح مسئله در سوراخ دایره‌ای تایید شده است. سپس سه ریزپردازنده شامل الیاف دایره‌ای، فیبرهای مربعی و خوشه‌های فیبر دایره‌ای که به صورت دوره‌ای در ماتریس قرار می‌گیرند و سپس با تجزیه و تحلیل عناصر محدود حل می‌شوند، مورد توجه قرار می‌گیرند. مقایسه نتایج عددی نشان داد که دو مدل محاسباتی با و بدون شرایط دوره‌ای می‌تواند پیش‌بینی‌های مختلفی بر خواص مؤثر کششی کامپوزیت برای هر دو فاکتور حجم کم و زیاد، بخصوص برای نسبت موثر پواسون کامپوزیت ارائه دهد. اعمال محدودیت‌های مستقیم خطی پس از تغییر شکل می‌تواند مانع هرگونه شرایط بیش از حد محدود در مدل عددی شود و نتایج پایدارتری را ارائه دهد.


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