تحلیل شکست دینامیکی مود ترکیبی ورق مدرج تابعی با روش بدون مش

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشگاه شیراز

2 پژوهشکده هوا دریا

چکیده

در این مقاله تحلیل ترک مود ترکیبی ورق مدرج تابعی با استفاده از روش MLPG انجام شده است و تأثیر تغییرات مقدار و زاویه‌ی گرادیان خواص بر ضرایب شدت تنش دینامیکی مود اول، دوم و مؤثر دینامیکی بررسی شده است. برای حل معادلات وابسته به زمان که توسط MLPG شکسته شده اند روش های تفاضل مرکزی و نیومارک استفاده شده است. اگر چه روش انتگرال J یکی از روش های مرسوم در محاسبه‌ی ضریب شدت تنش است اما به‌طور کلی این روش برای مواد مدرج تابعی قابل استفاده نیست. بنابراین در این مقاله برای محاسبه‌ی ضریب شدت تنش از انتگرال مستقل از مسیر J* که برای مواد ناهمگن فرمول بندی شده، استفاده گردیده است. نتایج نشان می-دهد که روش حاضر تطابق خوبی با حل دقیق و سایر حل های موجود دارد. هم‌چنین نتایج نشان می دهد، که حداکثر و حداقل مقدار ضریب شدت تنش مؤثر برای E2/E1>1 به‌ترتیب در زاویه‌ی گرادیان خواص 0 و 90 درجه رخ می دهد و برای E2/E1

کلیدواژه‌ها

عنوان مقاله [English]

Mixed-Mode Dynamic Fracture Analysis of FGM Plate by MFree Method

نویسندگان [English]

  • A. Abdollahifar 1
  • M.R. Nami 1
  • B. Saranjam 2
1
2
چکیده [English]

In this paper, the mixed-Mode dynamic fracture analysis of a FGM plate is performed using MLPG method also the effect of changes in value and angle of material gradation on the dynamic Stress Intensity Fctor(SIF) of Mode I, II, and effective are investigated. To solve time dependent equations that discretized by MLPG method, the Central Difference Method (CDM) and the Newmark method are used. Although the J integral is one of the most common methods to calculate the SIF, but in general, it is not applicable for FGMs. So, in this paper the path independent integral, J*, which is formulated for the non-homogeneous material is used to calculate stress intensity factor. Results show that the present method has good agreement with the exact and other existent solutions. Results also, show the maximum and minimum values of effective stress intensity factor for E2/E1>1 are occurred at material gradation angle equal to 0 and 90 respectively, and for E2/E1

کلیدواژه‌ها [English]

  • Mixed-Mode dynamic fracture analysis
  • Meshless local Petrov-Galerkin (MLPG) method
  • Material gradation angle
  • Functionally graded material (FGM)
  • Newmark method
  • Central difference method (CDM))

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