علوم و فناوری کامپوزیت

توسعه‏ ی یک مدل لایه گون در حضور روش انتگرال جی برای پیش ‏بینی رشد ترک بین لایه‏ ای در ورق‏ های چندلایه مرکب

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشیار، مهندسی هوافضا، دانشگاه صنعتی شریف، تهران ، ایران

2 دانشجوی دکترا، مهندسی هوافضا، دانشگاه صنعتی شریف، تهران - ایران

3 کارشناسی ارشد، مهندسی هوافضا، دانشگاه صنعتی شریف، تهران ، ایران

چکیده

در این مقاله یک روش عددی به منظور پیش‏ بینی رشد ترک در ورق‏ های چند لایه مرکب توسعه داده شده است. برای محاسبه دقیق تنش های بین لایه ‏ای، تئوری لایه ‏گون ردی به کار گرفته شده و صحت نتایج بدست آمده به کمک نرم افزار اجزاء محدود آباکوس تأیید گردیده است. سپس قابلیت حل مسائل در حضور جدایش بین لایه ‏ای، به عنوان مهم‏ترین عامل خرابی مواد مرکب، به مدل اضافه شده است. در ادامه روش عددی انتگرال جی، به عنوان یک انتگرال مستقل از مسیر، برای ترک‏ های صفحه‌ای بین لایه‌ای در چند لایه‏ های مرکب معرفی شده و با استفاده از آن مدل لایه ‏گون ابتدایی تکمیل گردیده است. همچنین رشد آسیب در سازه با نرخ رهایی انرژی کرنشی کنترل می‏ گردد؛ به این صورت که در ابتدا روش محاسبه ماتریس سختی کل سازه به وسیله ‏ی المان لایه‏ گون بیان گشته و جابجایی‌های گره‏ ای و میدان تنش-کرنش در المان‌ها استخراج می‏ گردد. سپس با محاسبه ‏ی انتگرال جی سه بُعدی، امکان پیش‌بینی رشد ترک به کمک معیار نرخ رهایی انرژی کرنشی لبه‏ ی ترک، به دست می ‏آید. در انتها به منظور اعتبارسنجی مدل ارائه شده، نتایج بدست آمده با نتایج مدل‏ های موجود مقایسه گردید و مشاهده شد که در عین منحصر به فرد بودن، با برخی از مدل ‏های تحلیلی قرابت بیشتری دارد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Development of a layer-wise model together with J-integral method for prediction of interlaminar crack growth in laminated composites plates

نویسندگان [English]

  • Seyed Ali Hosseini Kordkheili 1
  • Reza Khorasani 2
  • Hossein Kashani 3

1 Aerospace department, Sharif University of technology, Tehran, Iran

2 Aerospace department, Sharif University of technology, Tehran, Iran.

3 Aerospace department, Sharif University of technology, Tehran, Iran.

چکیده [English]

In this paper, a numerical method is developed in order to predict the crack growth in multi-layerd composites. Reddy's layerwise theory is em employed to truly calculate the the interlaminar stresses and afterward the accuracy of results are satisfied by Abaqus finite element software. Then the capability of solving problems in the presence of delamination, as the most important cause of composites failure, is added to the elaborated model. In fallows, the J-integral method, which the integral is independent of the path around a crack, is introduced and by using the this method, the initially layerwised model is improved. Also, failure in structure is controlled by strain energy release rate; This means that firstly the process of computing total stiffness matrix of structure using layerwise element is described and nodal displacements and stress-strain fields in elements are extracted. Subsequently the possibility of predicting the crack growth is achieved by calculating the 3D J-integral using the criterion of strain energy release rate at crack front. Finally, the developed numerical model is validated by comparing the its results with the results of available analytical models and it is perceived that the model, despite being unique, is more similar to some of the analytical solutions.

کلیدواژه‌ها [English]

  • Delamination
  • J-Integral
  • Layer-wise theory
  • Free edge
  • Strain energy release rate
مراجع
 
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علوم و فناوری کامپوزیت
دوره 5، شماره 2
شهریور 1397
صفحه 218-226
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