• 제목/요약/키워드: Fracture Probability

검색결과 160건 처리시간 0.023초

Spot 용접이음재의 피로수명 예측에 관한 확률적 검토(II) : 피로강도 평가법의 신뢰성 검증 (Statistical Investigateion of Fatigue Life Predictioin of the Spot Welded Lap Joint(II) ; to verity reliabilty of fatigue strength estimatioin method)

  • 손일선;배동호
    • 한국자동차공학회논문집
    • /
    • 제7권7호
    • /
    • pp.242-249
    • /
    • 1999
  • Spot welding is very important and useful technology in fabrication of an automobile body structure. Because fatigue strength of the spot welding point is however considerably lower than parent metal due to stress concentration at the nugget edge, accurate stress analysis and fatigue stength evaluation of spot welded lap joint are very important to valuate the reliability and durability of automobile body structure and to establish a criterion of long life fatigue design. Many invetigators have studied so far onsystematic fatigue strength evaluation with various methods. It is however necessary to verify their reliability and abailability for practical application to fatigue design of spot welded structure, Thus,in this study, fatigue strength evaluation methods of spot welded lap joint. which are the maximum principal stress method. the fracture and availability with the Weibull probability distribution. From the results, it was found that reliability and availability withe the Weibull probaility distribution. From the results, it was found that reliability and availability of the suggest fatigue strength estimation methods methods were higher than $\Delta$P-$N_f$ relation. However, among them , reliability of the maximum pricipal stress method was the highest.

  • PDF

소결질화규소에 있어서 Strength-Probability-Time Diagram 에 관한 연구 (A Study on the Strength-Probability-Time(SPT) Diagram for Sintered Silicon Nitride)

  • 하정수;이준근
    • 한국세라믹학회지
    • /
    • 제22권4호
    • /
    • pp.33-39
    • /
    • 1985
  • A composition containing a-$Si_3N_4$ with 5w/0 $Y_2O_3$ and 4w/0 $Al_2O_3$ was hot-pressed at 1, $650^{\circ}C$ and 350kg/$cm^2$ for 1.5hrs and specimens of the same composition were pressureless-sintered at 1, 75$0^{\circ}C$ for 1.5 and 5hrs. By X-ray diffraction it was found that hot-pressed specimens were consisted of $\alpha$-and $\beta$-$Si_3N_4$ and sintered specimens were consisted of $\beta$-$Si_3N_4$ and $Si_3N-4Y_2O_3$ which was crystallized out from the grainboundary phase. The 5-hr sintered specimens had higher degree of crystallization than the 1.5 hr sintered specimens. Among these three different specimens the 5-hr sintered specimens showed the highest strength by hot MOR test at 1, 00$0^{\circ}C$. The SPT diagram for the 5-hr sintered $Si_3N_4$ was constructed by measurements of the stress rate dependence of fracture strength.

  • PDF

Probability analysis of optimal design for fatigue crack of aluminium plate repaired with bonded composite patch

  • Errouane, H.;Deghoul, N.;Sereir, Z.;Chateauneuf, A.
    • Structural Engineering and Mechanics
    • /
    • 제61권3호
    • /
    • pp.325-334
    • /
    • 2017
  • In the present study, a numerical model for probability analysis of optimal design of fatigue non-uniform crack growth behaviour of a cracked aluminium 2024 T3 plate repaired with a bonded composite patch is investigated. The proposed 3D numerical model has advanced in literatures, which gathers in a unique study: problems of reliability, optimization, fatigue, cracks and repair of plates subjected to tensile loadings. To achieve this aim, a finite element modelling is carried out to determine the evolution of the stress intensity factor at the crack tip Paris law is used to predict the fatigue life for a give n crack. To have an optimal volume of our patch satisfied the practical fatigue life, a procedure of optimization is proposed. Finally, the probabilistic analysis is performed in order to a show that optimized patch design is influenced by uncertainties related to mechanical and geometrical properties during the manufacturing process.

$SiCp/A\ell$ 6061 복합재료의 피로균열진전특성에 관한 통계학적 해석 (Statistical Analysis of Fatigue Crack Growth Properties for Silicon Carbide Particles Reinforced Metal Matrix Composites)

  • 권재도;문윤배;안정주
    • 한국자동차공학회논문집
    • /
    • 제4권4호
    • /
    • pp.130-139
    • /
    • 1996
  • The silicon carbide particles reinforced aluminium 6061($SiCp/A\ell$) composites are generally known have wild range of applications from automobiles to airospaces. But, by the results of existing study for $SiCp/A\ell$ composites, there are reports that the fatigue life of $SiCp/A\ell$ composites has improved than $A\ell$matrixes and has not improved then $A\ell$ matrixes. Consequently, in order to perform the reliable life prediction for $SiCp/A\ell$, the properties of probability distribution of fatigue crack initiation life & fracture life, crack growth length in constant number of cycles, crack growth rate in constant stress intensity factor range and m & C value in Paris's fatigue crack growth law and the estimation of statistical parameters have been evaluated by the statistics method.

  • PDF

감육현상을 고려한 가스배관의 파손확률 평가 (Failure Probability Assessment of Gas Pipelines Considering Wall-Thinning Phenomenon)

  • 이상민;윤강옥;장윤석;최재붕;김영진
    • 한국정밀공학회지
    • /
    • 제22권10호
    • /
    • pp.158-166
    • /
    • 2005
  • Pressurized gas pipeline is subject to harmful effects both of the surrounding environment and of the materials transmitted in them. In order to maintain the integrity, reliable assessment procedures including tincture mechanics analysis etc are required. Up to now, the integrity assessment has been performed using conventional deterministic approaches even though there are many uncertainties to hinder a rational evaluation. In this respect, probabilistic approach is considered as an appropriate method for gas pipeline evaluation. The objectives of this paper are to estimate the failure probability of corroded pipeline in gas and oil plants and to propose limited operating conditions under different types of leadings. To do this, a probabilistic assessment program using reliability index and simulation techniques was developed and applied to evaluate failure probabilities of corroded API-5L-X52/X60 gas pipelines subjected to internal pressure, bending moment and combined loading. The evaluation results showed a promising applicability of the probabilistic integrity assessment program.

STOCHASTIC CHARACTERISTICS OF FATIGUE CRACK GROWTH RESISTANCE OF SM45C STEEL

  • Park, U.H.;Lee, H.W.;Kim, S.J.;Lee, C.R.;Kim, J.H.
    • International Journal of Automotive Technology
    • /
    • 제8권5호
    • /
    • pp.623-628
    • /
    • 2007
  • Reliability analysis based on fracture mechanics requires knowledge of the on statistical parameters m and C in the fatigue crack growth law $da/dN=C({\Delta}K)^m$. The purpose of the present study is to investigate if it is possible to explain the change of parameter m by the fluctuation of C only. In this study, we apply the Paris-Erdogan law treating the parameter C as random and the parameter m as constant. Fluctuations in crack growth rate are assumed to be dependent only on C. The material resistance to fatigue crack growth(Z=1/C) is treated as a spatially random process, that varies along the crack path. The theoretical crack growth rates at various stress intensity factors are discussed. Additionally, the results of constant ${\Delta}K$ fatigue crack growth tests are reported for the structural steel, SM45C. The experimental data have been analyzed to determine the probability distribution of fatigue crack growth resistanc.

철도궤조(鐵道軌條) 및 용접연결부(鎔接連結部)에 대한 피로설계강도(疲勞設計强度)의 평가(評價) (The Estimation of Fatigue Design Strength on Base Metal and Welded Parts of Rail)

  • 용환선
    • 대한토목학회논문집
    • /
    • 제8권2호
    • /
    • pp.109-116
    • /
    • 1988
  • 구조(構造)의 강도(强度)와 하중(荷重)은 시간(時間)이 경과함에 따라 변하며 확률과정(確率過程)이 된다. 이들의 상호관련성(相互關聯性)으로부터 신뢰도(信賴度)의 추정(推定)이 가능하다. 따라서 안정성(安定性)을 확보(確保)하기 위한 안전(安全)의 여유를 고려하는 경우 허용응력(許用應力)은 신뢰성(信賴性)에 근거한 안전율(安全率)로부터 구하는 것이 합리적(合理的)이다. 본(本) 연구(硏究)에서는 장기적(長期的)으로 피로하중(疲勞荷重)을 받는 철도(鐵道)레일을 대상(對象)으로 해서 신뢰성(信賴性)의 지표(指標)인 파괴확률(破壞確率)을 구하는 방법(方法)을 적용(適用)해 보았다. 신뢰도(信賴度)의 추정(推定)에 있어서 모수(母數)의 추정(推定)이 어려운 경우 파괴확률(破壞確率)의 수치계산(數値計算)은 의미가 없다. 이와 같은 문제점을 극복하기 위하여 상대적(相對的)인 신뢰성(信賴性)을 구하는 관용설계법(慣用設計法)이 제안(提案)되었다. 본(本) 연구(硏究)에서는 Cornell의 관용설계법(慣用設計法)을 적용(適用)하였다. 불확정요소(不確定要素)로서는 강도(强度)와 하중(荷重)의 변동계수(變動係數)를 사용하였고 이들의 파괴확률(破壞確率)에 대한 영향과 신뢰성(信賴性)에 근접(根接)한 안전율(安全率)을 검토하였다. 본(本) 연구(硏究)의 결과는 다음과 같다. 신뢰성(信賴性)에 있어서 용접재(鎔接材)는 강도변동(强度變動)의 영향을 크게 받고 모재(母材)는 하중변동(荷重變動)의 영향을 크게 받았다. 신뢰도(信賴度)에 근접(根接)한 안전율(安全率)로 구한 허용응력범위(許用應力範圍)는 안전측(安全側)에 있음을 확인(確認)하였다.

  • PDF

Round robin analysis of vessel failure probabilities for PTS events in Korea

  • Jhung, Myung Jo;Oh, Chang-Sik;Choi, Youngin;Kang, Sung-Sik;Kim, Maan-Won;Kim, Tae-Hyeon;Kim, Jong-Min;Kim, Min Chul;Lee, Bong Sang;Kim, Jong-Min;Kim, Kyuwan
    • Nuclear Engineering and Technology
    • /
    • 제52권8호
    • /
    • pp.1871-1880
    • /
    • 2020
  • Round robin analyses for vessel failure probabilities due to PTS events are proposed for plant-specific analyses of all types of reactors developed in Korea. Four organizations, that are responsible for regulation, operation, research and design of the nuclear power plant in Korea, participated in the round robin analysis. The vessel failure probabilities from the probabilistic fracture mechanics analyses are calculated to assure the structural integrity of the reactor pressure vessel during transients that are expected to initiate PTS events. The failure probabilities due to various parameters are compared with each other. All results are obtained based on several assumptions about material properties, flaw distribution data, and transient data such as pressure, temperature, and heat transfer coefficient. The realistic input data can be used to obtain more realistic failure probabilities. The various results presented in this study will be helpful not only for benchmark calculations, result comparisons, and verification of PFM codes developed but also as a contribution to knowledge management for the future generation.

비드형상 및 복수 표면균열의 확률적 특성을 고려한 필릿 용접부 피로수명 평가 (Fatigue Life Estimation of Fillet Welded Joints Considering Statistical Characteristics of Weld Toe's Shape and Multiple Collinear Surface Cracks)

  • 한승호;한정우
    • Journal of Welding and Joining
    • /
    • 제23권3호
    • /
    • pp.68-75
    • /
    • 2005
  • The fatigue life of welded joints is associated with crack initiation and propagation life. Theses cannot be easily separated, since the definition of crack initiation is vague due to the initiation of multiple cracks that are distributed randomly along the weld toes. In this paper a method involving a notch strain and fracture mechanical approach, which considers the characteristics of welded joints, e.g. welding residual stress and statistical characteristics of multiple cracks, is proposed, in an attempt to reasonably estimate these fatigue lives. The fatigue crack initiation life was evaluated statistically, e.g. the probability of failure occurrence in 2.3, 50 and $97.7\%$, in which the cyclic response of the local stress/strain hi the vicinity of the weld toes and notch factors derived by the irregular shape of the weld bead are taken into account. The fatigue crack propagation life was simulated by using Monte-Carlo method in consideration of the Ad-factor and the mechanical behavior of mutual interaction/coalescence between two adjacent cracks. The estimated total fatigue life, $(N_T)_{P50\%}$, as a sum of crack initiation and propagation life under the probability of failure occurrence in $50\%$ showed a good agreement with the experimental results. The developed technique for fatigue lift estimation enables to provide a quantitative proportion of crack initiation and propagation life in the total fatigue life due to the nominal stress range, ${\Delta}S$.

국산(國産)스테인레스강선계(鋼線系) 교정용선재(矯正用線材)의 개발(開發)과 물리적(物理的) 성질(性質)에 관(關)한 연구(硏究) (A STUDY ON DEVELOPMENT AND PHYSICAL PROPERTIES OF STAINLESS STEEL ORTHODONTIC WIRES MADE IN KOREA)

  • 성재현;권오원;경희문;이기대
    • 대한치과교정학회지
    • /
    • 제19권2호
    • /
    • pp.7-24
    • /
    • 1989
  • The physical properties of seven sizes of control groups and experimental group in stainless steel orthodontic wires were studied in tension, hardness, bending, torsion and observation of microstructure. The wires (0.40-0.90mm dia.) of round type were tested in the as-received condition. The wires of control groups were TRU-CHROME and REMANIUM, and experimental group was SK wire which was developed by ourselves and made in Korea. The results were as follows; 1. The chemical compositions of control groups and experimental group were austenite stainless steel wires of SOS 304. 2. Higher values of tensile and yield strength in tension were control group I, experimental group, control group II. Maximum tensile and yield strength of experimental group were $203.63{\pm}1.41kg/mm^2$ in 0.70mm diameter and $148.96{\pm}4.88kg/mm^2$ in 0.60mm diameter, and maximum elongation was $5.20{\pm}0.57%$ in 0.45mm diameter. 3. Hardness values of experimental group were similar to control groups. Maximum hardness values were $596.2{\pm}13.66Hv$ in 0.45mm diameter wire of control group I, $590.5{\pm}20.08Hv$ in 0.50mm diameter wire of control group II, and $563.6{\pm}5.35Hv$ in 0.70mm diameter wire of experimental group. 4. Torsion properties of experimental group were similar to control group I and more than control group II. Maximum torsion cycles were $31.8{\pm}2.48$ in 0.45mm diameter of control group I, $17.4{\pm}4.84$ in 0.60mm diameter of control group II, and $24.6{\pm}3.04$ in 0.45mm diameter of experimental group. 5. Maximum bending cycles of experimental group were smaller than control groups. Maximum bending cycles were $9.00{\pm}0.00$ in 0.50mm diameter wire of control group I, $10.0{\pm}0.82$ in 0.40mm diameter wire of control group II, and $8.0{\pm}1.26$ in 0.50mm diameter wire of experimental group. 6. Microstructures of experimental and control groups co-existed with martensited austenite structure and elongated austenite structure. 7. The direction of wire fracture was propagated parallel to torsion direction typically and there was no probability showing wire fracture at inclusions and surface scratches. 8. The type of wire fracture was brittle fracture at initiation site and ductile fracture at core.

  • PDF