• Title/Summary/Keyword: Failure Criterion

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Stability condition for the evaluation of damage in three-point bending of a laminated composite

  • Allel, Mokaddem;Mohamed, Alami;Ahmed, Boutaous
    • Steel and Composite Structures
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    • v.15 no.2
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    • pp.203-220
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    • 2013
  • The study of the tensile strength of composite materials is far more complex than analysis of the properties of elasticity and plasticity. Indeed, during mechanical loading, micro-cracks in the matrix, the fibers break, debonding of the interfaces are created. The failure process of composites is of great diversity and cannot be described if even we know: the strength criterion of each individual component, the state of stress and strain in the material, the propagation phenomena cracks in the structure and nature of the interface between the matrix and the reinforcement. This information is only partially known and the obtained by the analysis of a stress limit beyond which there is destruction of the material is almost impossible. To partially process the issue, a solution lies in a mesoscopic approach of seeking a law to locate the ultimate strength of the material for a plane stress state. Tests on rectangular plates in bending PEEK/APC2 and T300/914 three were made and this in order to validate our approach, the calculation has been implemented in a nonlinear finite element code (Castem 2000), in order to make comparison with the numerical results. The results show good agreement between numerical simulation and the two materials; however, it would be interesting to consider other phenomena in the criterion.

A new analytical-numerical solution to analyze a circular tunnel using 3D Hoek-Brown failure criterion

  • Ranjbarnia, Masoud;Rahimpour, Nima;Oreste, Pierpaolo
    • Geomechanics and Engineering
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    • v.22 no.1
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    • pp.11-23
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    • 2020
  • In this study, a new analytical-numerical procedure is developed to give the stresses and strains around a circular tunnel in rock masses exhibiting different stress-strain behavior. The calculation starts from the tunnel wall and continues toward the unknown elastic-plastic boundary by a finite difference method in the annular discretized plastic zone. From the known stresses in the tunnel boundary, the strains are calculated using the elastic-plastic stiffness matrix in which three dimensional Hoek-Brown failure criterion (Jiang and Zhao 2015) and Mohr-Coulomb potential function with proper dilation angle (i.e., non-associated flow rule) are employed in terms of stress invariants. The illustrative examples give ground response curve and show correctness of the proposed approach. Finally, from the results of a great number of analyses, a simple relationship is presented to find out the closure of circular tunnel in terms of rock mass strength and tunnel depth. It can be valuable for the preliminary decision of tunnel support and for prediction of tunnel problems.

Study on the Reliability Evaluation Method of Components when Operating in Different Environments (이종 환경에서 운용되는 부품의 신뢰도 평가 방법 연구)

  • Hwang, Jeong Taek;Kim, Jong Hak;Jeon, Ju Yeon;Han, Jae Hyeon
    • Journal of the Korean Society of Safety
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    • v.32 no.5
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    • pp.115-121
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    • 2017
  • This paper is to introduce the main modeling assumptions and data structures associated with right-censored data to describe the successful methodological ideas for analyzing such a field-failure-data when components operating in different environments. The Kaplan - Meier method is the most popular method used for survival analysis. Together with the log-rank test, it may provide us with an opportunity to estimate survival probabilities and to compare survival between groups. An important advantage of the Kaplan - Meier curve is that the method can take into account some types of censored data, particularly right-censoring. The above non-parametric method was used to verify the equality of parts life used in different environments. After that, we performed the life distribution analysis using the parametric method. We simulated data from three distributions: exponential, normal, and Weibull. This allowed us to compare the results of the estimates to the known true values and to quantify the reliability indices. Here we used the Akaike information criterion to find a suitable life time distribution. If the Akaike information criterion is the smallest, the best model of failure data is presented. In this paper, no-nparametrics and parametrics methods are analyzed using R program which is a popular statistical program.

Structural Integrity Assessments of Pressurized Pipes with Gouge using Stress-Modified Fracture Strain Criterion (삼축응력 기반의 파괴변형률 기준을 적용한 가우지 손상배관의 건전성 평가)

  • Oh C.K.;Kim Y.J.;Park J.M.;Baek J.H.;Kim Y.P.;Kim W.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.808-813
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    • 2005
  • Structural integrity assessment of defected pipe is important in fitness for service evaluation and proper engineering assessment is needed to determine whether pipelines are still fit for service. This paper present a failure prediction of gas pipes made of APIl X65 steel with gouge using stress-modified true fracture strain, which is regarded as a criterion of ductile fracture. For this purpose, API X65 pipes with gouge are simulated using elastic-plastic FE analyses with the proposed ductile failure criterion and the resulting burst pressures are compared with experimental data. Agreements are quite good, which gives confidence in the use of the proposed criteria to defect assessment fer gas pipelines. Then, further extensive finite element analyses are performed to obtain the burst pressure solution of pipes with gouge as a function of defect depth, length and pipeline geometry.

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Analytical crack growth in unidirectional composite flywheel

  • Lluis Ripoll;Jose L. Perez-Aparicio;Pere Maimi;Emilio V. Gonzalez
    • Coupled systems mechanics
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    • v.12 no.2
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    • pp.183-197
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    • 2023
  • Scarce research has been published on crack propagation fracture of flywheels manufactured with carbon fiber-reinforced polymers. The present work deals with a calculation method to determine the conditions for which a crack propagates in the axial direction of the flywheel. The assumptions are: flywheels made with just a single thick ply or ply clustering laminates, oriented following the hoop direction; a single crack is analyzed in the plane defined by the hoop and axial directions; the crack starts close to one of the free edges; its axial length is initially large enough so that its tip is far away from that free edge, and the crack expands the entire circumferential perimeter and keeps its concentric position. The developed method provides information for a good design of flywheels. It is concluded that a fracture-based crack propagation criterion generally occurs at a lower speed than a stress-based criterion. Also, that the evolution of failure with thickness using the fracture criterion is exponential, demonstrating that thin flywheels are relatively not sensitive to crack propagation, whereas thick ones are very prone.

Method of Estimate of Fracture Probability for Elastic-Plasticity by 2-Parameter Criterion (2-parameter criterion에 의한 탄소성 파괴확률 예측수법)

  • Kim, Tae-Sik;Yoon, Han-Yong;Lim, Myung-Hwan;Chung, Ui-Chung
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.226-234
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    • 2003
  • Put Many researcher have made much progress in studying an estimate for fracture probability of brittle materials. However, studies of the fracture probability for the elastic-plasticity have not been made yet. An estimate method for fracture probability which is grafted onto 2-parameter criterion and statistical probability analysis is not only introduced in this study, but also applied to the simple 2dimensional model and carbon steel piping to evaluate the effect of random variable.

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Evaluation of Design Variants of Drive Mechanisms for a Neck Massager based on a Simplified Criterion (단순화된 기준에 기반한 경추안마기 구동부 설계안의 평가)

  • Park, Jung Hyun;Kim, Kwon Hee;Chae, Soo Won;Cho, Chang Hee
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.1
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    • pp.83-88
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    • 2015
  • At the early stages of engineering design, a number of design concepts may be suggested. With a great degree of freedom, making a good choice may be a challenge at this stage. In this study, a simplified evaluation criterion for design concepts is presented based on cost, simplicity and safety. Cost is estimated by the amount of materials and the required level of tolerance. Simplicity is represented by the number of parts, assembly steps, and fasteners. Safety is assessed by the level of potential failure. The proposed criterion is applied to an example design of driving mechanisms for cervical vertebrae massage machine.

Nonlinear first ply failure analysis of composite skewed hypar shells using FEM

  • Ghosh, Arghya;Chakravorty, Dipankar
    • Structural Engineering and Mechanics
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    • v.68 no.1
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    • pp.81-94
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    • 2018
  • This paper uses the finite element method (FEM) considering geometrically nonlinear strains to study the first ply failure of laminated composite skewed hypar shell roofs through well-established failure criteria along with the serviceability criterion of deflection. Apart from validating the approach through solution of benchmark problems, skewed hypars with different practical parametric variations are studied for failure loads and tendencies. First ply failure zones are also identified to suggest design and non-destructive monitoring guidelines to the practising engineers. Recommendation tables regarding the design approaches to be adopted in specific cases and factor of safety values needed to be imposed on first ply failure load values for varying shell curvatures are also suggested in this paper. Providing practical inputs to design engineers is the main achievement of the present study.

Analysis of the Behavior of Concrete Compressive Member with Various Cross-Sectional Shapes Strengthened by CFS (다양한 단면을 지닌 콘크리트 압축부재의 CFS 보강에 따른 거동해석)

  • 이상호;이민우;김장호;김진근
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.605-610
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    • 2002
  • The purpose of this study is to develop an analytic model which can describe the behavior or concrete compressive member strengthened by CFS(Carbon Fiber Sheet) with various cross-sectional shapes such as circular. square, and octagonal and various laminate angles. The failure criterion of laminated CFS is based on Tsai-Wu failure criterion. The stress strain model of confined concrete compressive member is based on an equation proposed by Mander. The effective lateral confining pressure is considered and modified according to various cross-sectional shapes. Octagonal cross-section shows the best results in the aspect of ductility, while circular does in compressive strengthening effects. In addition, [0/0/0/0] laminate in which the direction of fiber is parallel to the direction of principal stress shows the superior strength and ductility than other laminates. The analytic results show that strength and ductility of the analytic model depend on the cross-sectional shapes as well as the laminate angles.

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Analysis of Filament Wound Pressure Tank Considering Winding Angle Variation in Thickness Direction (두께 방향의 와인딩 각도 변화를 고려한 필라멘트 와인딩 된 압력탱크의 해석)

  • 김철웅;박재성;홍창선;김천곤
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.211-214
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    • 2000
  • Filament wound pressure vessels have been studied for the efficient design tool to consider the variation of fiber angles through-the thickness direction. Filament winding patterns were simulated from semi-geodesic fiber path equation to calculate fiber path on arbitrary surface. Finite element analyses were performed considering fiber angle variation in longitudinal and thickness directions by ABAQUS. For the finite element modeling of the pressure tank, the 3-dimensional layered solid element was utilized. From the stress results of pressure tanks, maximum stress criterion in transverse direction was applied to modify material properties for failed region. In the end of each load increment, resultant layer stresses were compared with a failure criterion and properties were reduced to 1/10 for a failed layer. Results of progressive failure analysis were compared with two experimental data.

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