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کمانش غیرموضعی نانوورقهای اورتوتروپ با ترک مرکزی | ||
| نشریه مهندسی عمران امیرکبیر | ||
| دوره 57، شماره 7، مهر 1404، صفحه 1165-1194 اصل مقاله (1.55 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/ceej.2025.23146.8118 | ||
| نویسندگان | ||
| وحید عبدالوهاب1؛ پرهام معمارزاده* 2 | ||
| 1گروه مهندسی عمران، واحد نجف آباد، دانشگاه آزاد اسلامی، نجف آباد، ایران. | ||
| 2گروه مهندسی عمران، واحد نجف آباد، دانشگاه آزاد اسلامی، نجف آباد، ایران | ||
| چکیده | ||
| در این تحقیق، به بررسی جامع کمانش غیرموضعی نانوورقهای اورتوتروپ با ترک مرکزی تحت بارهای تک و دومحوری پرداخته شده است. با توجه به پیشرفتهای روزافزون در فناوری نانو و کاربردهای گسترده نانوورقها در صنایع مختلف مانند الکترونیک، پزشکی و سازههای مهندسی، تحلیل دقیق رفتار مکانیکی این نانوساختارها امری ضروری است. آسیبهایی نظیر ترک که در فرآیند تولید نانوورقها به وجود میآید، میتواند تأثیرات منفی قابل توجهی بر عملکرد این مواد داشته باشد. در این راستا، نظریههای غیرکلاسیک غیرموضعی به عنوان رویکردی نوین برای تجزیه و تحلیل رفتار نانوورقها به کار گرفته شده است. این تحقیق شامل توسعه معادلات حاکم بر اساس نظریه تغییرشکل برشی مرتبه اول و استفاده از روش المان محدود برای تحلیل نانوورقهای ترکدار است. متغیرهای کلیدی مورد مطالعه در این تحقیق عبارتند از: نسبت طول ترک به عرض ورق، عامل مقیاس کوچک که به تأثیرات نانوساختارها بر رفتار کمانشی اشاره دارد، ضخامت نانوورق و شرایط تکیهگاهی مختلف. نتایج بهدستآمده نشان میدهد که اثر مقیاس کوچک به طور قابل توجهی ظرفیت کمانشی بحرانی نانوورقها را کاهش میدهد. بهویژه، برای نانوورقهای با نسبت ابعادی 0/6، اثر غیرموضعی میتواند تا 1/18برابر حالت بدون ترک افزایش یابد. علاوه بر این، با افزایش ابعاد جانبی نانوورقها، تأثیر عامل غیرموضعی به تدریج کاهش مییابد. این پژوهش با ارائه نتایج تحلیلهای جامع، پایهای مستحکم برای طراحی و بهینهسازی نانوورقهای اورتوتروپ تحت بارگذاریهای مختلف فراهم میآورد و به روشن شدن رفتار کمانشی این نانوساختارها کمک میکند. بهعلاوه، این نتایج میتوانند به توسعه روشهای جدید تولید و کاربردهای بهینه نانوورقها در صنایع منجر شوند. | ||
| کلیدواژهها | ||
| نانوورقهای اورتوتروپ؛ ترک مرکزی؛ کمانش فشاری؛ نظریه غیرموضعی؛ روش اجزاء محدود توسعهیافته | ||
| موضوعات | ||
| پایداری سازه | ||
| عنوان مقاله [English] | ||
| Nonlocal Buckling of Orthotropic Nanosheets with a Central Crack | ||
| نویسندگان [English] | ||
| Vahid Abdolvahab1؛ Parham Memarzadeh2 | ||
| 1Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran | ||
| 2Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran | ||
| چکیده [English] | ||
| In this study, a comprehensive study of the non-local buckling of orthotropic nanosheets with a central crack under uniaxial and biaxial loads has been conducted. Given the increasing advances in nanotechnology and the widespread applications of nanosheets in various industries such as electronics, medicine, and engineering structures, a detailed analysis of the mechanical behavior of these nanostructures is essential. Damages such as cracks that occur during the production process of nanosheets can have significant negative effects on the performance of these materials. In this regard, non-local non-classical theories have been used as a new approach to analyze the behavior of nanosheets. This research involves the development of governing equations based on first-order shear deformation theory and the use of the extended finite element method to analyze cracked nanosheets. The main variables studied in this study are: crack length to sheet width ratio, small-scale parameter that refers to the effects of nanostructures on buckling behavior, nanosheet thickness, and different support conditions. The results obtained show that the small-scale parameter significantly reduces the critical buckling capacity of nanosheets. In particular, for nanosheets with an aspect ratio of 0.6, the non-local effect can increase up to 1.18 times that of the case without a crack. Furthermore, as the lateral dimensions of the nanosheets increase, the effect of the non-local factor gradually decreases. By providing comprehensive analysis results, this research provides a solid foundation for the design and optimization of orthotropic nanosheets under various loadings and helps to clarify the buckling behavior of these nanostructures. In addition, these results can lead to the development of new production methods and optimal applications of nanosheets in industries. | ||
| کلیدواژهها [English] | ||
| Orthotropic Nanosheets, Central Crack, Compressive Buckling, Nonlocal Theory, Extended Finite Element Method | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 449 تعداد دریافت فایل اصل مقاله: 271 |
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