نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، دانشگاه تربیت مدرس، تهران ، ایران

2 استادیار، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران ، ایران

10.22068/jstc.2018.82434.1422

چکیده

این مقاله با استفاده از روش برپایه انرژی به پیش بینی رشد جدایش بین لایه‌ای ناشی از ترک ماتریسی در مواد مرکب لایه‌ای متقارن با لایه چینی عمومی تحت تنش‌های داخل صفحه درحضور تنش‌های پسماند حرارتی پرداخته است. در این پژوهش بر روی دو حالت کلی نامقید و کرنش صفحه‌ای عمومی مطالعه می‌شود. برای هر دو حالت نامقید و کرنش صفحه‌ای عمومی ابتدا فرض بر وجود ترک ماتریسی می‌شود و پس از ایجاد جدایش بین لایه‌ای، افت خواص ناشی از ترک و جدایش محاسبه شده و ماتریس سفتی جدید کاهش یافته برای آن به دست می‌آید. سپس تعدادی ثوابت ترموالاستیک که فقط به خواص ماده‌ی تک لایه‌ها وابسته هستند و خود به نوعی جزو خواص ماده می‌باشند به دست آمده و پس از مرتبط ساختن درایه‌های ماتریس نرمی با یکدیگر توسط این ثوابت، معادله‌ای ساده برای انرژی آزاد گیبس به دست می‌آید. در ادامه با مشتق گرفتن از معادله‌ی انرژی آزاد گیبس نسبت به طول جدایش معادله‌ای بسیار ساده برای تعیین نرخ رهایی انرژی به دست می‌آید که اگر این انرژی از انرژی کرنشی بحرانی آن ماده برابر یا بیشتر باشد جدایش رشد می‌کند. به منظور صحه گذاری روابط توسعه داده شده در این مقاله از نرم افزار المان محدود انسیس استفاده شده است. نتایج بدست آمده نشان داد که تطابق قابل قبولی بین روش توسعه یافته و روش المان محدود در پیشبینی افت سفتی چندلایه های حاوی جداشدگی وجود دارد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Evaluation the energy release rate of induced delamination due to matrix cracking in symmetric composite laminate

نویسندگان [English]

  • mohammad rahmani 1
  • amin farrokhabadi 2

1 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

2 Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

چکیده [English]

In this study, by using an energy-based method, growth of induced delamination due to matrix cracking has been studied in symmetric composite laminates subjected to constant in-plane stresses as well as thermal stresses. Two unconstrained and generalized plane strain states have been analyzed here. Matrix cracking as a primary assumption has been supposed in both states and the impact of matrix cracking and delamination on the stiffness degradation is calculated. Then, some thermoelastic constants are proposed. By relating stiffness matrix elements using these constants, a simple equation due for energy release rate due to delamination formation is derived. The accuracy of developed relations is examined using ANSYS finite element software. The obtained results reveal that there is good agreement between the extended and FE approaches

کلیدواژه‌ها [English]

  • composites
  • Matrix cracks
  • Delamination
  • Energy release rate
  • strain energy
  • Critical strain energy
 
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