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شبیه‌سازی رفتار ماسه اشباع با ترکیب روش اجزاء منفصل و هیدرودینامیک ذرات هموار | ||
| نشریه مهندسی عمران امیرکبیر | ||
| مقاله 4، دوره 55، شماره 11، بهمن 1402، صفحه 2207-2226 اصل مقاله (2.3 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/ceej.2023.21590.7772 | ||
| نویسندگان | ||
| یونس خلیلی طرقبه؛ احمدرضا محبوبی* ؛ محمد حاجی ستوده | ||
| دانشکده مهندسی عمران، آب و محیط زیست، دانشگاه شهید بهشتی، تهران، ایران | ||
| چکیده | ||
| روش اجزاء منفصل (DEM) از روش‌های عددی معتبر برای تحلیل موضوعات ژئوتکنیکی، به خصوص رفتار مصالح دانه‌ای است. هیدرودینامیک ذرات هموار (SPH) نیز یکی از روش‌های نوین برای مدل‌سازی رفتار سیالات است. هر دو روش DEM و SPH دارای مزیت عدم نیاز به شبکه‌بندی هستند. هنگامی که برای تحلیل یک پدیده ژئوتکنیکی مانند روانگرایی ماسه، بررسی رفتار مصالح دانه‌ای اشباع مد نظر باشد، استفاده از مکانیک سیالات و ترکیب آن با مکانیک ذرات اجتناب‌ناپذیر خواهد بود. روش ترکیبی DEM-SPH به عنوان یک روش لاگرانژی-لاگرانژی، بهترین ترکیب برای مدل‌سازی محیط‌های چندفازی است. زیرا می‌تواند به طور کامل نیاز به شبکه‌بندی حجمی را برطرف کند. عدم نیاز به شبکه‌بندی در مسائلی که دارای هندسه پیچیده، تغییرشکل‌های بزرگ یا سطح آزاد جریان هستند، مزیت بزرگی محسوب می‌شود. با این وجود، تاکنون مدل ترکیبی رضایت‌بخشی بر پایه استفاده همزمان از DEM و SPH برای تحلیل رفتار زهکشی‌نشده مصالح دانه‌ای اشباع ارائه نشده است. در این مقاله با استفاده از روش اجزاء منفصل و ترکیب آن با هیدرودینامیک ذرات هموار، رفتار زهکشی‌نشده ماسه اشباع شبیه‌سازی شده است. مدل عددی با استفاده از نتایج آزمایش‌های سه‌محوری زهکشی‌شده و زهکشی‌نشده بر روی نمونه ماسه گردگوشه صحت‌سنجی شده است. جریان سیال و برهم‌کنش‌های سیال-ذره در مدل منظور شده است. برای اعمال شرایط مرزی ذرات جامد، از یک غشاء انعطاف‌پذیر استفاده شده و شرایط مرزی سیال نیز با استفاده از ذرات فرضی سیال متصل به غشاء پیرامونی، تعریف شده است. نتایج شبیه‌سازی‌ها نشان داد که مدل ترکیبی DEM-SPH به خوبی قادر به پیش‌بینی پاسخ زهکشی‌نشده مصالح دانه‌ای اشباع و متغیرهای محلی مانند توزیع فشار سیال است. | ||
| کلیدواژه‌ها | ||
| شبیه‌سازی؛ روش اجزاء منفصل؛ هیدرودینامیک ذرات هموار؛ DEM؛ SPH | ||
| موضوعات | ||
| روش های عددی؛ مکانیک خاک و پی | ||
| عنوان مقاله [English] | ||
| Coupled DEM-SPH Modeling of Saturated Sand | ||
| نویسندگان [English] | ||
| Younes Khalili؛ Ahmad Mahboubi؛ Mohammad Haji-Sotoiudeh | ||
| Department of Civil and Environmental Engineering, Shahid Beheshti University, Tehran, Iran | ||
| چکیده [English] | ||
| DEM (Discrete Element Method) is a particle-based method for modeling the granular materials. SPH (Smoothed Particle Hydrodynamics) is also a particle-based method to analyze fluids using a limited number of integration points. These mesh-free methods are suitable to analyze geotechnical problems with large deformations or complicated geometries. Coupling DEM and SPH for simulating multi-phase media, resolves the need for the spatial mesh and prepares a more realistic understanding of the saturated granular materials. In this study by coupling both DEM and SPH methods, a novel DEM-SPH model was developed to simulate saturated granular media such as saturated sand. The particles were modeled using DEM and the inter-particle fluid was simulated using SPH. The fluid flow and the particle-fluid interactions were included in the model. The model was validated by comparing the numerical results to experimental data. The evolution of the fluid pressure distribution was investigated. Three phases were observed in fluid pressure distribution. After starting loading, a pressure wave appeared adjacent to the top wall that formed a “transient phase”. After finishing the transient phase, a “stable phase” of the fluid pressure distribution started, during which the pressure gradient changed gradually. There was an “instable phase” at large axial stains. The pressure gradient changed randomly in this phase. The results showed that the model could satisfactorily predict the undrained behavior of the saturated granular materials and capture the local parameters of the inter-particle fluid e.g. the local variations of the fluid pressure. | ||
| کلیدواژه‌ها [English] | ||
| DEM, SPH, Mesh-free, Saturated Sand, particle shape | ||
| مراجع | ||
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