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جستجوی مقالات مرتبط با کلیدواژه "stress intensity factor" در نشریات گروه "مکانیک"

تکرار جستجوی کلیدواژه «stress intensity factor» در نشریات گروه «فنی و مهندسی»
  • محمد سالاری*، فاطمه ابراهیمی
    از مهمترین تحلیل ها در طراحی سازه های مختلف مخصوصا مخازن تحت فشار و بررسی ایمنی آن ها، تحلیل مکانیک شکست میباشد. یکی از پارامترهای مهم در علم مکانیک شکست، بررسی ضریب شدت تنش ترک های موجود در دیواره مخزن است. در مطالعه حاضر، رفتار یک ترک نیم بیضوی در مخزن تحت فشار کروی ساخته شده از جنس مواد مدرج تابعی با استفاده از نرم افزار اجزاء محدود آباکوس مورد مطالعه قرار گرفته است. اثر پارامترهایی از قبیل هندسه ترک، دو ترک داخلی و خارجی همزمان، توزیع فشار، توزیع بار حرارتی، تغییر ات خواص ماده مدرج تابعی و شرایط تکیه گاهی بر مقدار ضریب شدت تنش بررسی شده است. برای مدل سازی و تحلیل ضریب شدت تنش در این نوع مخزن از توابع مختلف توانی، نمایی و خطی در قالب کد متلب و همینطور یک کد سابروتین استفاده شده است. هندسه ترک نیز از عوامل مهمی است که بر ضریب شدت تنش اثر بسزایی می گذارد. بطوریکه با افزایش مقدار a/c ضریب شدت تنش نیز افزایش می یابد. همچنین بررسی شرایط تکیه گاهی نشان می دهد که با افزایش تعداد پایه ها، ضریب شدت تنش نیز افزایش می یابد.
    کلید واژگان: ترک نیم بیضوی, مخزن تحت فشار کروی, مواد مدرج تابعی, ضریب شدت تنش, تحلیل حرارتی
    Mohammad Salari *, Fatemeh Ebrahimi
    One of the most important analyses in the design of various structures, especially pressure vessels and their safety is the fracture mechanics. One of the important parameters in fracture mechanics is the study of the stress intensity factor of cracks in the tank wall. In the present study, the behavior of a semi-elliptical crack in a spherical pressure vessel made of functionally graded materials has been studied using Abaqus finite element software. The effects of parameters such as crack geometry, simultaneous internal and external cracks, pressure distribution, thermal load distribution, changes in the properties of the functionally graded material, and support conditions on the value of the stress intensity factor have been investigated. In order to model and analyze the stress intensity factor in this type of tank, various power, exponential and linear functions were used in the form of MATLAB code as well as a subroutine code. The results showed that with increasing pressure, the stress intensity factor increases. Crack geometry is also an important factor that has a significant effect on the stress intensity factor. So with the increase of the a/c value, the stress intensity factor also increases. Also, the examination of the support conditions shows that with the increase in the number of foundations, the stress intensity factor also increases.
    Keywords: FGM, Stress intensity factor, Semi-elliptical crack, Spherical pressure vessels, Thermal analysis
  • S. Mohammadi *, S .Daryaei

    Stop holes and composite patches are the most important methods used to repair cracked plates. In this research, using a 3D finite element method and considering different materials for a composite patch, the effect of separate and simultaneous use of stop holes and composite patch (one-sided and two-sided) on the reduction of SIF in a cracked curve plate is investigated. The best position and arrangement of crack stop holes and the best dimensions and material used for the composite patch are determined. Then, the effect of the radius of curvature of the plate on the efficiency of various repair methods is investigated. The results show that with increasing the radius of curvature of the plate, the SIF value decreases in all repair methods and the efficiency of the patch improves in the cases of using the patch or the hybrid method. Besides, from the radius of curvature of approximately 5 meters onwards, a further increase in the radius of curvature does not affect the efficiency of various repair methods. Simultaneous use of the graphite-epoxy double-sided patch and stop holes reduces SIF by 79.9% compared to unrepaired condition.

    Keywords: Stress intensity factor, Crack repair, Composite patch, Fracture mechanics, Stop holes
  • محمدمهدی شهیب*، پیمان یوسفی

    در این تحقیق، هدف تعیین ضریب شدت تنش در یک ورق ترک دار تحت بارگذاری حرارتی و مکانیکی است. برای این منظور به کمک کدنویسی در نرم افزارمتلب یک ورق با ترک میانی به روش هم هندسی بر اساس عملگر بیزییر، مدل سازی و المان بندی گردید. در این روش توابع پایه نربز با استفاده از عملگر بیزییر به صورت یک ترکیب خطی از چندجمله ای های برنشتاین تولید می شوند. استفاده از این عملگر موجب تولید المان های بیزییر با پیوستگی Co شده که چندجمله ای های برنشتاین بر روی این المان ها تعریف می شوند. جهت مدل سازی ترک از روش هم هندسی توسعه یافته استفاده شد. در این روش به کمک تعریف تابع مجموعه تراز مناسب، نقاط کنترلی که در طول ترک و نوک ترک وجود دارند شناسایی و استخراج شده اند. با غنی سازی نقاط کنترلی استخراج شده با توابع غنی ساز مناسب و اعمال شرایط مرزی، فرآیند تحلیل انجام شده و کرنش ها و تنش ها محاسبه گردیدند. در نهایت مقدار ضریب شدت تنش مد اول بر اساس روش انتگرال اندرکنش به دست آمد. برای بررسی صحت نتایج به دست آمده، تحلیل مشابهی به روش اجزا محدود انجام شد و نتایج حاصل از هر دو روش مقایسه شد.

    کلید واژگان: روش هم هندسی توسعه یافته, عملگر بیزییر, چند جمله ای برنشتاین, ترک, ضریب شدت تنش
    MohammadMehdi Shoheib *, Peyman Yousefi

    In this research, an analysis of the stress and stress intensity factor in a cracked plate under thermal and mechanical loading is done. For this purpose, using MATLAB coding, a plate with a center crack was modeled by the isogeometric method (IGA) based on the Bezier extraction operator. In this method, NURBS basis functions are generated as a linear combination of Bernstein polynomials using the Bezier extraction operator. Using this operator Bezier elements with Co continuity (similar to elements of the finite element method) were produced and Bernstein polynomials are defined on these elements. In order to model the crack, the extended isogeometric method (XIGA) was used. In this method, the control points that exist along the crack and at the tip of the crack are identified and extracted using the proper level set functions. Therefore, there is no need to re-meshing or modify the elements. By enriching the extracted control points with appropriate enrichment functions and applying boundary conditions, the analysis process was carried out and the strains and stresses were calculated. Finally, the value of the first mode stress intensity factor was obtained based on the interaction integral method. To check the accuracy of the obtained results, a similar analysis was performed using the finite element method and the results obtained from both methods were compared. These studies showed that the considered isogeometric method provides more accurate solutions with a much smaller number of elements and computational costs.

    Keywords: Extended IGA method, Bezier extraction operator, Bernstein polynomial, Crack, Stress intensity factor
  • Ali Moarrefzadeh *, Shahram Shahrooi
    This paper is introduced new method for predicting of fatigue crack propagation (FCP) in residual stress (RS) field due to welding. If there is stress in the material and is subjected to loading, the effects of loading and RS must be considered simultaneously. For this purpose, stress intensity factor (SIF) in liner elastic fracture mechanics (LEFM) approach and J-integral in elastic-plastic fracture mechanics (EPFM) approach are used. The superposition principle based on LEFM is used to consider the RS effects on the cycle ratio and SIF. To achieve more appropriate results based on EPFM, the J-integral is modified to consider the simultaneous effects of RS and external loading. Finally, the FCP equations are modified to consider into calculation the simultaneous influences of RS and cyclic loading. Results from FCP equation based on J-integral are in good agreement with experimental results. The obtained results show that the MLPG method is suitable for calculating the residual stress and the modified J-integral method is the best method for predicting FCP in the RS field caused by welding.
    Keywords: Residual stress, welding, Stress intensity factor, J-integral, Fatigue Crack Propagation
  • زهره خدیری نیازمند، ابولفضل توتونچی، مهدی اسکندرزاده*، بهزاد عباس زاده

    این تحقیق با هدف بررسی منشا نشتی های گاه به گاه در شبکه لوله کشی گاز طبیعی انجام شده است. طبق نتایج به دست آمده از روش تجزیه وتحلیل عوامل شکست و آثار آن (FMEA) سه عیب عدم تراش صحیح، وجود چربی و وجود رطوبت در محل جوش در مرحله نصب و اجرا دارای بالاترین میزان خطر است. علاوه بر آن، تحلیل مکانیک شکست برای عیب های دارای بالاترین میزان خطر در نرم افزار ABAQUS به روش XFEM و به صورت سه بعدی انجام پذیرفت. شبیه سازی ها برای بارگذاری طول ثابت ترک (برابر 4 میلی متر) صورت گرفت. بر اساس نتایج شبیه سازی های المان محدود، ترک با طول اولیه 4 میلی متر در فشار داخلی بالاتر از 4/1 مگاپاسکال شروع به رشد می کند. با توجه به فشار بهره برداری شبکه گاز شهری (حدود 4/0 مگاپاسکال)، بر اساس نتایج این مطالعه شناسایی عیب های بالاتر از 4 میلی متر قبل از بهره برداری ضروری می باشد. داده های حاصل از این پژوهش می تواند جهت استفاده مهندسین شرکت ملی گاز ایران مفید باشد.

    کلید واژگان: پلی اتیلن, اتصال الکتروفیوژن, ضرایب شدت تنش, تنش فون مایسز, المان محدود توسعه یافته, FMEA
    Z. Kh. Niyazmand, A. Tutunchi, M. Eskandarzade, B. Abbaszadeh

    The aim of this study was to investigate the source of leaks in the natural gas pipeline network. According to the results obtained from the Failure Mode and Effects Analysis (FMEA), the three defects including lack of proper scraping, the presence of oil and existing of moisture at the welding zone in the installation and execution phase had the highest risk. These defect types studied further using experimental methods. The fracture mechanics analysis for the defects with the highest risk in Abaqus software was performed by XFEM method in three dimensions. According to the results, cracks with initial length of 4mm will grow at pressures higher than 1.4 MPa. To obtain results equivalent stress intensity factor has been used. The results imply the application of suitable nondestructive methods for determination of cracks with lengths higher than 4mm. The results of this research can be employed by inspection engineering of natural gas companies.

    Keywords: Polyethylene, Electro-Fusion Joint, Stress Intensity Factor, Von Mises Stress, Extended Finite Element, FMEA
  • Sirvan Mohammadi *, Sadegh Daryaei
    In this research, using the 3D finite element method and considering different materials for a composite patch, the effect of separate and simultaneous use of stop holes and composite patch (one-sided and two-sided) on reduction of SIF in a curved plate including mixed-mode crack is investigated. Glass-epoxy, graphite-epoxy, carbon-epoxy, and boron-epoxy are used for repair patches.  For the one-sided patch, the effects of different geometric parameters on the efficiency of the repair are investigated. For all four composite patches, as the thickness of the patches increases, KI and KII decrease, but with increasing the patch length, KI and KII increase. The research results also show that with increasing the width of the glass-epoxy patch, KI and KII almost do not change, but for other patches, as the patch width increases, the SIF increases. The effect of the radius of curvature of the plate on the efficiency of various repair methods is also investigated. In all repair methods studied, SIF decreases with increasing radius of curvature of the curved plate. Different repair methods are compared and the best method with the highest efficiency is introduced. The best repair mode is the hybrid repair method (stop-holes and two-sided boron-epoxy patch), which reduces KI and KII by 84.50 and 86.6%, respectively. Finally, the effect of adhesive thickness used for patch bonding on hybrid repair method efficiency and durability is investigated. for all four materials of patches understudy, KI and KII increase with increasing the thickness of the adhesive, but on the other hand, as the thickness of the adhesive increases, the maximum Von Mises stress in the adhesive decreases.
    Keywords: Composite patch, Crack repair, Crack stop holes, Fracture mechanics, Stress intensity factor
  • M. M Shoheib, Sh Shahrooi *, M Shishehsaz, M Hamzehei
    In this paper, the extended isogeometric analysis based on Bézier extraction of NURBS is applied for Investigating stress intensity factor and fatigue life in the two-dimensional crack problems with thermal and mechanical cyclic loading. By transforming NURBS function to linear combination of Bernstein functions defined over C0-continuous Bézier elements, the extended isogeometric analysis can be implemented in the extended finite element method framework. Grid points around the crack line and crack tip are identified by the level set representation. Then, discontinuous enrichment functions are added to the isogeometric analysis approximation. Thus, this method does not require remeshing. The interaction integral method and Paris law has been used to extract stress intensity factor and evaluate fatigue life, respectively. Numerical examples are examined to validate the efficiency of the proposed method. The effect of adaptive refinement strategies on computational cost and convergence is studied. Numerical examples showed that the presented method produces highly accurate results, yet it is beneficial to implement.
    Keywords: XIGA analysis, Bézier extraction operator, cyclic load, Stress intensity factor, Fatigue Life
  • Seyed Mohammad Navid Ghoreishi *, Nabi Mehri-Khansari, Houman Rezaei
    Regardless of the initiation or propagation procedure of crack in a gas turbine blade, the precise expectation of the fracture behavior, such as mixed-mode Stress Intensity Factors (SIF), plays a significant role in acquiring its operational life. Therefore, multilateral three-dimensional fracture solutions are required, including real-based mixed-mode loading (I/II/III) conditions and geometrical considerations. In this study, three-dimensional semi-elliptical crack in a gas turbine blade with various geometrical parameters and inclination angles under mixed-mode loading (I/II/III) conditions were investigated based on the employing finite element techniques and analytical procedure. In this context, the semi-elliptical crack has been considered in the critical zone of the rotating blade to achieve the effect of crack aspect ratio, rotational velocity, crack location, and mechanical properties. Fluid Solid Interaction (FSI) analysis was also performed in addition to solid functional enriched elements. Structural simulation is done at the speed of 83.776 m/s based on CFD simulation. The results indicated that Al Alloys blade shows a profitable resistance in crack propagation. Moreover, as the crack domain is near the location of x/c= 0.25 and 1.9 of crack front, the mode II SIF will be independent of rotational velocity and the blades' mechanical properties. Similarly, for the location of x/c= 1.1 in crack front, the mode III SIF is independent of rotational velocity and blades' mechanical properties.
    Keywords: Stress intensity factor, Semi-elliptical crack, Gas Turbine Blade, Finite Element Analysis (FEA)
  • احسان براتی*، سید حسین طباطبایی فرد
    پدیده خستگی و رشد ترک در قطعات هوایی دارای اهمیت بالایی می باشد. یکی از قطعات مهم هواپیما که در این تحقیق مورد بررسی قرار گرفته قطعه ریب بوده که متصل کننده ارابه فرود به بال می باشد. برای بومی سازی این قطعه به دلیل مشکلات فناورانه و مواد اولیه، ماده آن از HY-TUF ، به H13 تغییر پیدا کرده و همچنین قطر یکی از دو سوراخ متصل کننده آن به ارابه فرود نیز 7 میلیمتر بزرگ تر شده است. با توجه به این تغییرات، تخمین عمر خستگی قطعه بومی شده از اهمیت زیادی برخودار می باشد. برای این کار با اعمال ترک فرضی، رفتار رشد ترک خستگی به منظور تعیین اندازه طول ترک بحرانی و همچنین محاسبه مسیر رشد ترک بررسی گردیده است. همچنین تخمین عمر خستگی به منظور به دست آوردن عمر قطعه با استفاده از روش مکانیک شکست و با اعمال یک ترک اولیه صورت پذیرفته است. نتایج نشان داده است که طول ترک بحرانی برای قطعه اصلی و بومی شده به ترتیب 4/19 و 2/9 میلیمتر می باشد. همچنین با احتساب ضریب اطمینان مناسب و برای 3000 نشست و برخاست، طول ترک مجاز برای قطعه اصلی و بومی شده به ترتیب 6 و 2 میلیمتر به دست آمده است.
    کلید واژگان: عمر خستگی, رشد ترک, ضریب شدت تنش, ریب, طول بحرانی ترک, المان محدود
    Ehsan Barati *, Seyyed Hosein Tabatabaei Fard
    Crack growth and fatigue life assessment of aviation parts are very important. One of the special and important parts in airplane is the Rib trunnion landing gear, which has been investigated in this research. Due to technological and material problems in I.R. Iran, H13 have been selected instead of HY-TUF material, and diameter of one holes for jointing to landing gear is increased 7 mm greater than the original one. According to these changes, life estimation of manufactured part becomes significant. For this reason, the behavior of fatigue crack growth to obtain the critical crack length, and the trajectory of the crack growth has been analysed. Finally, the fatigue life of the part has been assessed using fracture mechanics-based method considering an arbitrary initial crack. The results showed that the critical crack length for original and manufactured parts is 19.4 and 9.2 mm, respectively. The allowable initial crack length is 6 and 2 mm for the original and the manufactured parts, respectively.
    Keywords: Fatigue life, Crack growth, Stress intensity factor, Rib, critical crack length. Finite Element
  • Ali Moarefzadeh *
    In this paper, a new method is introduced for evaluating effects of residual stress on fatigue life. The ability of ultrasonic method using longitudinal wave with critical angle of refraction or LCR wave in measuring and removing residual stresses due to welding was used. Two plates of alloy 2024-T351 were welded to each other. To measure their residual stress field acoustoelastic property was used and the changes in the speed of ultrasonic propagation of elastic waves when passing through the residual stress fields was investigated. In order to exert the effects of residual stress on fatigue life, the relations between the coefficients of effective stress intensity (SIF) and Fatigue Crack Propagation (FCP) rate in a state that the parts were welded together with residual stress under cyclic loading were obtained. Finally, ultrasonic waves with a certain frequency were used to remove the residual stresses. Also, the relationships between stress intensity factor and fatigue crack propagation rate were modified to predict fatigue life after removal of residual stresses. This method resulted in a 31% increase in fatigue life. The main reason for the increase in life was the plastic area created by the ultrasound wave. Therefore, it can be said that introduced method are suitable for using to remove residual stress due to welding.
    Keywords: Fatigue Life, Longitudinal Ultrasonic Wave, Residual stress, Stress intensity factor
  • محمد معدل، شهرام شهروئی*
    در این مقاله از روش بدون المان پتروف گالرکین محلی برای به دست آوردن ضریب شدت تنش در ورق پیزو الکتریک مدرج تابعی تحت بارگذاری کششی یکنواخت استفاده شده است. جهت مدل سازی میدان جابجایی و تنش، اطراف نوک ترک از روش مشاهده پذیری و اضافه نمودن گره ها و غنی سازی توابع پایه به دلیل وجود تکینگی اطراف نوک بهره گرفته شده است. همچنین از مدل تابع نمایی برای بیان تغییرات خواص جنس ماده پیزوالکتریک استفاده گردید. سپس میدان های جابجایی و پتانسیل الکتریکی تولید شده در اثر بارگذاری مکانیکی و تنش ها به ازای ثوابت ناهمگنی جنس متفاوت ماده پیزوالکتریک مدرج تابعی در راستاهای متفاوت ورق تنش از روش بدون المان محاسبه و با نتایج حاصل از نرم افزار اجزا محدود کامسول مقایسه گردید. در نهایت ضرایب شدت تنش از روش بدون المان با نتایج از حل تحلیلی مقایسه گردید که انطباق قابل قبولی را نشان داده است.
    کلید واژگان: مواد پیزوالکتریک مدرج تابعیFGPM, روش بدون المان پتروف گالرکین محلیMLPG, ضریب شدت تنش, ثوابت ناهمگنی جنس
  • Martin Eder, Xiao Chen *
    This study proposes two alternative approaches to complement existing integration strategies used in the weight function method for linear elastic crack problems. The first approach is based on an interpolation type integration scheme and the second approach is based on Gauss quadrature. The proposed approaches enable a computationally efficient numerical integration for computing stress intensity factors in 2D fracture problems. The efficiency is gained through a comparatively low number of integration points facilitated by higher-order approximation. The integration weights only need to be computed once for a given crack length-to-width ratio and can be applied to arbitrary continuous and smooth stress distributions. The proposed approaches show excellent accuracy. In particular, the Gauss quadrature approach exhibits several orders of magnitude more accuracy compared to the most commonly used trapezoidal integration.
    Keywords: Stress intensity factor, Fracture mechanics, crack length, Singularity, weight function integration
  • رسول نیک پور، حسین مهبادی*

    در این مقاله ضریب شدت تنش ترک کوچک شعاعی در لبه ی خارجی یک استوانه ی جدار ضخیم ویسکوالاستیک دوار تحت فشار داخلی و توزیع حرارتی مورد بررسی قرار گرفته است. به منظور مدل سازی رفتار ویسکوالاستیک استوانه، از مدل جامد سه پارامتری زنر بهره گرفته شده است. ابتدا توزیع تنش در استوانه ی ویسکوالاستیک بدون ترک تعیین شده است. سپس با استفاده از روش برهم نهی و انتخاب ضریب هندسی مناسب، مسئله ی استوانه ی ترک دار بررسی شده است. نهایتا، اثر پارامترهای مختلف بر روی ضریب شدت تنش بررسی شده است. با حذف اثر ویسکوالاستیک در استوانه، ضرایب شدت تنش به دست آمده در مقاله ی حاضر با نتایج موجود در سوابق علمی مسئله مقایسه شده است. نتایج به دست آمده نشان می دهد که با افزایش خواص الاستیک ماده ضریب شدت تنش افزایش و با افزایش خواص ویسکوز ماده ضریب شدت تنش کاهش می یابد.

    کلید واژگان: ضریب شدت تنش, استوانه ی ویسکوالاستیک, مدل زنر, فشار داخلی, توزیع حرارتی
    R. Nikpour, H. Mahbadi *

    In this research, stress intensity factor of a small radial crack in a rotating thick cylinder made of viscoelastic materials subjected to internal pressure and radial temperature distribution is investigated. The radial crack is assumed to be located at the outer edge of the cylinder. The Zener model (i.e., standard three parameter solid) is applied to simulate the viscoelastic behavior of the cylinder. To obtain the stress intensity factor of the viscoelastic cylinder, the problem of uncracked viscoelastic cylinder subjected to internal pressure and radial temperature distribution is analyzed with plane strain assumptions. Then, the hoop stress distribution is determined. Finally, by assuming the small crack length and applying the superposition method, the problem of cracked viscoelastic cylinder is replaced by the problem of cracked viscoelastic cylinder subjected to determined average stress in the previous step. By employing the proper geometry factor, the stress intensity factor of the viscoelastic cylinder is determined. A parameter study is performed to investigate the effects of various parameters on the stress intensity factor of the cylinder. To validate the results, the problem of viscoelastic cracked cylinder is simplified to an elastic cracked cylinder by neglecting the viscoelastic terms, and the data obtained in the present work are compared with those given in the literature search. The results show that the proposed method is quite capable of estimating the stress intensity factor of small cracks in structures made of viscoelastic materials. A parameter study is performed to investigate effect of various parameters on stress intensity factor of the cylinder. The parameter study shows that a) the stress intensity factor of the viscoelastic cylinder in early moments of loading is higher than its equivalent elastic cylinder, b) increasing the elastic properties of the viscoelastic material results in higher stress intensity factor, and increasing the viscous properties of the material decreases the stress intensity factor.

    Keywords: Stress intensity factor, viscoelastic cylinder, Zener model, Internal pressure, Thermal distribution
  • H. Eskandari *, M .Ghanbari, F. Mirzadeh

    These pressure vessels are made by different type of heads. One of them is hemi-spherical head. The area of geometrical discontinuity, like the connection of the cylinder to its hemi-spherical head, are the most susceptible areas for crack initiation along their welds. So it is worthwhile to consider cracks located at this connection. The purpose of this article is to investigate the effect of variation of stress field and geometry of problem on distribution of Stress Intensity Factor (SIF) for a semi-elliptical surface crack which is located at the connection of cylinder to its hemispherical head. The three dimensional finite element analysis is performed by employing singular elements along the crack front. The ratio of crack depth to crack length (a/c) ranged from 0.3 to 1.2; the ratio of crack depth to wall thickness (a/t) ranged from 0.2 to 0.8; and the cylinder geometry parameter of vessel  ranged from 1.2 to 2. For better comparison the results are normalized and reported in non-dimensional formats. The results show that the crack configuration, vessel thickness and radius have significant influence on the stress intensity factor distribution along the crack front. Also For a fixed    and    the maximum value of SIF occur in the cylindrical part and approximately near the deepest point of crack; not on the deepest point of crack depth and this may be due to changing stress field in this connection. The stress intensity factors are presented in suitable curves for various geometrical configurations providing useful tool for the fracture mechanics design of cracked pressure vessels.

    Keywords: Stress intensity factor, Cylinder-hemispherical head, Semi-Elliptical Crack, Cylindrical pressure vessel
  • Abdolrasoul Ranjbaran *, Mohammad Ranjbaran, Fatema Ranjbaran
    A branch of human knowledge, which treats the behavior of cracked structures, is called fracture mechanics. Since there is no intact structure in the world, then the paramount importance of fracture mechanics in human life is accentuated. The main parameter of fracture mechanics is called crack compliance, which is the amount of flexibility added to the flexibility of the intact structure due to the presence of a crack with specified size. The compliance, similar to flexibility, is the sole characteristics of the cracked structure. In this way for a given structure with a specified crack, there should be a single compliance. Unfortunately, in classical fracture mechanics that is not the case! The number of crack compliances for a clacked structure is equal to the number of researchers who treated the case! This diversity in the results stems from the presence of epistemic uncertainty in the mathematical basis of classical fracture mechanics. In view of the need for remedy, the Abdolrasoul Ranjbaran Team (ART), investigated the case and proposed a reliable fracture mechanics, which is based on sound logical reasoning. The proposed reliable fracture mechanics is described in the presented paper. The paper is managed via fourteen titles as, introduction, the mathematical basis of the classical fracture mechanics, birthplace of the state based philosophy, strong form of governing equation, analytical solution by Laplace transform, the weak form equation, the finite element equation, logical basis of the state based philosophy, state functions, Persian curves, reliable crack compliance, energy release rate, stress intensity factor, and weight function for the stress intensity factor in sections one to fourteen respectively. The paper concludes with a list of cited references.
    Keywords: Classical fracture mechanics, reliable fracture mechanics, State based philosophy, Persian Curves, flexibility, crack compliance, Stress intensity factor, energy release rate
  • عماد فحص*، مجید قاسمی
    تبدیل انرژی شیمیایی به انرژی الکتریسیته به واسطه دستگاه الکترو-شیمیایی پیل سوختی انجام می گیرد. به وسیله دمای عملیاتی بالای پیل سوختی اکسید جامد (بین 700 و 1000)، تنش گرمایی به وجود آمده که عامل اصلی شروع و انتشار ترک است. این پدیده ممکن است باعث نشت گاز، ناپایداری ساختار و توقف عملیات SOFC قبل از عمر مفید آن باشد. هدف این پژوهش ارایه روشی برای پیش بینی شروع ترک ها در یک SOFC صفحه ای متخلخل ناهمسانگرد است. دما و توزیع تنش محاسبه می شود. در این روش از ضریب شدت تنش و انتگرال-جی مواد برای پیش بینی شروع ترک در داخل آند و کاتد متخلخل استفاده شده است. نتایج تحقیق نشان داد که بالاترین تنش گرمایی در گوشه های بالای کاتد و در گوشه های پایین آند رخ می دهد. به علاوه، ضخامت الکترود کاتد در سمت چپ، به میزان %5/1 افزایش می یابد. درنهایت، شروع ترک در سمت چپ بین گوشه های بالایی و پایینی کاتد رخ می دهد.
    کلید واژگان: پیل سوختی اکسید جامد, دینامیک سیالات محاسباتی, المان های محدود, تنش گرمایی, ضریب شدت تنش, شروع ترک
    Imad Fahs *, Majid Ghasemi
    A fuel cell is an electro-chemical tool capable of converting chemical energy into electrical energy. The high operating temperature of the solid oxide fuel cell (SOFC), (between 700oC to 1000oC), causes thermal stress which is the origin of crack initiation and propagation. Thermal stress causes gas escape, structure variability and SOFC operation cessation before its lifetime. The purpose of the current paper is to present a method that predicts the thermal stress distribution and forecasts the beginning of fissure or crack occurrences in an anisotropic porous electrode of the planar SOFC. The governing coupled non-linear differential equations of heat transfer, fluid flow, mass transfer, mass continuity, and momentum are solved numerically. A code based on computational fluid dynamics (CFD), computational structural mechanics and finite element method (FEM) is developed and utilized. The results show that the highest thermal stress occurs at the lower corners of anode and the upper corners of cathode. The cathode’s thickness at the left side increases by 1.5% and the concentrated temperature and thus the fissure occurs between the top and bottom left corners of the cathode.
    Keywords: solid oxide fuel cell, computational fluid dynamic, Finite Element, thermal stress, Stress Intensity Factor, crack initiation
  • P .Mandal *, S.C .Mandal

    This work deals with the interaction of P-waves between a moving central crack and a pair of outer cracks situated at the interface of an orthotropic layer and an elastic half-space. Initially, we considered a two-dimensional elastic wave equation in orthotropic medium. The Fourier transform has been applied to convert the basic problem to solve the set of four integral equations. These set of integral equations have been solved to to get the analytical expressions for the stress intensity factor (SIF) and crack opening displacements (COD) by using the finite Hilbert transform technique and Cooke’s result. The main objective of this work is to investigate the dynamic stress intensity factors and crack opening displacement at the tips of the cracks. The aims of the study of these physical quantities (SIF, COD) is the prediction of possible arrest of the cracks within a certain range of crack velocity by monitoring applied load. SIF and COD have been depicted graphically for various types of orthotropic materials. We presented a parametric study to explore the influence of crack growing  and propagation. This result is very much applicable in bridges, roads, and buildings fractures.

    Keywords: Moving Griffith crack, Orthotropic media, P-Wave, Stress intensity factor, Crack opening displacement
  • Salmi Houda *, Hachim Abdeliah, Hanan El Bhilat, Khaled El Had
    The present work deals with the effect of an external circumferential elliptical crack located at thickness transition on a varied stepped diameter pipe . The purpose is the application of the extended finite element method (XFEM) for the calculation of SIF at the thickness transition region of pipe considering internal pressure and compare the effect of the crack between pipes straight and with thickness transition. To model a crack with precision , enrichment functions are used to enrich the displacement approximation, the level set functions are calculated from the crack mesh and definition of the strategy of integration has been performed. A comparative study is made on SIF of crack defect in straight pipe compared to one with thickness transition using XFEM for the crack and pipe geometrical parameters variations. The result shows that the XFEM is an effective and practical tool for elliptic crack modeling in a pipe with thickness transition because a crack is easily modeled through enrichment functions.The comparison of the SIF of a similar defect between pipes shows that a pressurized pipe with thickness transition is more sensitive to the used cracks.
    Keywords: XFEM, pipe with thickness transition, stress intensity factor, elliptical crack, internal pressure
  • Rasul Bagheri *, Alireza Hassani
    This paper presents an analytical solution for an orthotropic circular cross section bar with a magnetic coating weakened by multiple arbitrary oriented cracks under Saint-Venant torsion by means of the distributed dislocation technique. At first, the solution of the orthotropic bar with a magnetic coating weakened by a Volterra-type screw dislocation is achieved with the aid of the finite Fourier sine transform. Next, the problem is then reduced to a set of singular integral equations with a Cauchy type singularity. Unknown dislocation density is achieved by numerical solution of these integral equations. Finally, several examples are solved and numerical results are discussed to reveal the effect of the magnetic layer on the reduction of the mechanical stress intensity factor in the bar.
    Keywords: Saint-Venant torsion, Orthotropic circular bar, Magnetic coating, stress intensity factor, Multiple cracks
  • Akbar Jafari *, Mohsen Rezaeian Akbarzadeh
    In this paper, the stress intensity factor (SIF) expression for defected butt welds containing undercut and inclined lack of penetration (LOP) subject to far-field tensile stress is derived. Some of the standards such as ISO 5817 and BS EN 25817 have specified allowable limits for the length of the undercut and LOP defects and for the height of the weld. In addition, EN 29692 standard has determined an acceptable range for the groove angle. In this paper, the effect of these acceptable geometries on stress intensity factor (SIF) of butt welded joint is investigated through following steps: i) elastic analyses to predict crack tip stress intensity (KI, KII) and shape factors, ii) approximation of shape factors by Response Surface Method (RSM). These expressions provide design guidelines for welded butt joint containing unavoidable undercut and inclined lack of penetration (LOP) defects.
    Keywords: Stress intensity factor, Butt welded joint, Undercut, Lack of penetration, Response surface method
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