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بررسی اثر تخلخل بر خمش ترمو-الاستوپلاستیک ورق‌های مدرج تابعی توسط روش بدون المان بازتولید نقطه با هسته پایه شعاعی سه‌بعدی | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 9، دوره 54، شماره 10، دی 1401، صفحه 2377-2398 اصل مقاله (1.91 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2022.20998.7356 | ||
| نویسنده | ||
| رضا واقفی* | ||
| دانشکده مهندسی، دانشگاه فسا، فسا، ایران | ||
| چکیده | ||
| در این مقاله اثر تخلخل بر پاسخ خمش ترمو-الاستوپلاستیک ورق‌های مدرج تابعی با خواص وابسته به دما که در معرض ترکیبی از بارهای حرارتی و مکانیکی واقع شده‌اند، توسط یک مدل بدون المان سه‌بعدی مبتنی بر روش بازتولید نقطه با هسته پایه شعاعی مورد مطالعه قرار گرفته است. برای توصیف رفتار پلاستیک ورق، معیار تسلیم فون میزز، کرنش سختی همسانگرد و قانون جریان پراندتل-رویس بکار گرفته شده است. خواص ماده مدرج تابعی که همگی وابسته به دما فرض شده‌اند، به طور پیوسته در جهت ضخامت ورق، بر اساس کسر حجمی اجزای تشکیل دهنده آن و بر طبق یک تابع توانی تغییر می‌کنند. از قانون آمیختگی اصلاح‌شده برای ارزیابی موضعی پارامترهای ترمومکانیکی مؤثر در ماده مدرج تابعی استفاده شده است. یک مدل بدون المان سه‌بعدی مبتنی بر روش بازتولید نقطه با هسته پایه شعاعی توسعه یافته و در همه تجزیه و تحلیل‌ها بکار گرفته شده است. برای نشان دادن دقت و کارایی روش حاضر، نتایج بدست آمده با نتایج تحلیلی و عددی موجود در مراجع معتبر مقایسه شده و توافق بسیار خوبی میان نتایج مشاهده شده است. به علاوه تأثیر پارامترهای مهمی مانند ضریب تخلخل، شاخص تغییرات ماده، نسبت ضخامت و شرایط مرزی بر پاسخ خمش ورق مدرج تابعی مطالعه شده است. | ||
| کلیدواژه‌ها | ||
| تحلیل ترموالاستوپلاستیک؛ ورق مدرج تابعی؛ تخلخل؛ روش بازتولید نقطه با هسته؛ توابع پایه شعاعی | ||
| عنوان مقاله [English] | ||
| Investigation of the Effect of Porosity on Thermo-Elastoplastic Bending of Functionally Graded Plates Using 3D Meshless Radial Basis Reproducing Kernel Particle Method | ||
| نویسندگان [English] | ||
| Reza Vaghefi | ||
| Department of Mechanical Engineering, Fasa University, Fasa, Iran | ||
| چکیده [English] | ||
| In this paper, the effect of porosity on the thermo-elastoplastic bending response of temperature-dependent functionally graded plates exposed to a combination of thermal and mechanical loads is studied using a three-dimensional meshless model based on the radial basis reproducing kernel particle method. To describe the plastic behavior of the plate, the von Mises yield criterion, isotropic strain hardening, and the Prandtl-Reuss flow rule are adopted. The material properties are continuously varying in the thickness direction according to a power-law function in terms of the ceramic and metal volume fractions. The modified rule of mixtures is employed to locally evaluate the effective thermomechanical parameters of the functionally graded material. A 3D meshless model based on the radial basis reproducing kernel particle method is developed and used in all analyses. To show the accuracy and efficiency of the present method, the obtained results are compared with the existing analytical and numerical results and very good agreements have been observed. Several numerical examples for temperature, deflection, and stress analysis of porous functionally graded plates are presented, and the effect of significant parameters such as porosity coefficient, material gradient index, thickness ratio, and boundary conditions on the bending response of plates has been investigated. | ||
| کلیدواژه‌ها [English] | ||
| Thermo-elastoplastic analysis, Functionally graded plate, Porosity, Reproducing kernel particle method, Radial basis function | ||
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| مراجع | ||
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