• Title/Summary/Keyword: Complex stress

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A numerical solution for a finite internally cracked plate using hybrid crack element method

  • Chen, Y.Z.
    • Structural Engineering and Mechanics
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    • v.40 no.6
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    • pp.813-827
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    • 2011
  • This paper provides a numerical solution for a finite internally cracked plate using hybrid crack element method (HCE). In the formulation, an inclined crack is placed in any place of a rectangular element and the complex variable method is used. The complex potentials are expressed in a series form, and several undetermined coefficients are involved. The complex potentials for the cracked rectangle are first suggested in this paper. Based on a variational principle, the element stiffness matrix can be evaluated. The next steps are same as in the usual finite element method. Several numerical examples with computed stress intensity factor and T-stress are presented.

The Strength Analysis of Gears on Hydro-Mechanical Continuously Variable Transmission for Forklift (지게차용 기계유압식 무단변속기의 기어류에 대한 강도해석)

  • Bae, Myung Ho;Bae, Tae Yeol;Choi, Sung Kwang
    • Journal of Drive and Control
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    • v.13 no.4
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    • pp.45-51
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    • 2016
  • The power train of a hydro-mechanical, continuously variable transmission for forklifts makes use of hydro-static units, hydraulic multi-wet disc brakes & clutches, and complex helical & planetary gears. The complex helical & planetary gears are very important parts of the transmission because of a strength problem. In the present study, we calculated the specifications of the complex helical & planetary gear train, and analyzed the gear bending and compressive stresses of the gears. It is necessary to analyze the gear bending and compressive stresses thoroughly for optimal design of the complex helical & planetary gears with respect to cost and reliability. In this paper, we analyze the actual gear bending and compressive stresses of complex helical & planetary gears using the Lewes & Hertz equation, and we also verify the calculated specifications of the complex helical & planetary gears by evaluating the results of the data of allowable bending and compressive stress using the Stress vrs Number of Cycles curves of gears.

Efficient methods for integrating weight function: a comparative analysis

  • Dubey, Gaurav;Kumar, Shailendra
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.885-900
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    • 2015
  • This paper introduces Romberg-Richardson's method as one of the numerical integration tools for computation of stress intensity factor in a pre-cracked specimen subjected to a complex stress field across the crack faces. Also, the computation of stress intensity factor for various stress fields using existing three methods: average stress over interval method, piecewise linear stress method, piecewise quadratic method are modified by using Richardson extrapolation method. The direct integration method is used as reference for constant and linear stress distribution across the crack faces while Gauss-Chebyshev method is used as reference for nonlinear distribution of stress across the crack faces in order to obtain the stress intensity factor. It is found that modified methods (average stress over intervals-Richardson method, piecewise linear stress-Richardson method, piecewise quadratic-Richardson method) yield more accurate results after a few numbers of iterations than those obtained using these methods in their original form. Romberg-Richardson's method is proven to be more efficient and accurate than Gauss-Chebyshev method for complex stress field.

Children's social relationships, psychological characteristics, and behavior problems (아동의 사회적 관계 및 심리적 특성과 문제 행동의 관계)

  • Choi, Yu-Jung;Choi, Set-Byol
    • Journal of the Korean Home Economics Association
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    • v.45 no.1
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    • pp.75-89
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    • 2007
  • This study investigates the effects of children's social relationships and psychological characteristics on their behavior problems. Behavior problems comprise violations of norms, bullying, and deviant behavior in the cyberspace. A data set of 2949 Korean children in their 4th grade is analyzed to yield three main results. First, variables such as contact with delinquent friends, aggressiveness, stress of appearance complex, gender, and depression have significant effects on violations of norms. Children who have more delinquent friends, higher level of aggressiveness, stress of appearance complex, or depression report more violations of norms. Second, delinquent friends, stress of peer relationship, aggressiveness, stress of appearance complex, gender, parents' violent attitudes toward children, and negative self-image are turned out to be important variables predicting bullying. Children with more delinquent friends, higher level of stress, higher level of aggressiveness, or lower self-image are more likely to experience bullying. Children who perceive their parents to be violent show more bullying experience. Third, each of aggressiveness, delinquent friends, stress of appearance complex, gender, relationship with teacher, and family income has significant effect on deviant behavior in cyberspace. Children with higher level of aggressiveness, more delinquent friends, stress of appearance complex, or negative impression of teacher are more likely to deviate in cyberspace. Children from higher income families report more deviant behavior in cyberspace. Boys show more experiences in every category of behavior problems than girls.

Crack Analysis of Creep Material Containing Rigid Inclusion with Line Crack Shape (직선 균열 강체 함유물을 내포하는 크?재료의 균열 해석)

  • 이강용;김종성
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.7
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    • pp.91-97
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    • 1998
  • The analysis model is the infinite body consisted of power law creep material containing a rigid inclusion with line crack shape subjected to the arbitrarily directional stress on an infinite boundary. The crack analysis is performed using the complex pseudo-stress function. The strain rate intensity factor is determined in the closed form as new fracture mechanics parmeter which represents the magnitudes of stress and strain rate near the tip in power law creep material.

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Thermal stress Intensity Factors for the Interfacial Crack on a Cusp-Type Inclusion (커스프형 강체함유물 상의 접합경계면 균열에 대한 열응력세기계수)

  • 이강용;장용훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1255-1265
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    • 1992
  • Under uniform heat flow, the thermal stress intensity factors for the interfacial crack on a rigid cusp-type inclusion are determined by Hilbert problem expressed with complex variable. The thermal stress intensity factors are expressed in terms of the periodic function of heat flow angle. When the tip of the interfacial crack meets that of the cusp crack, the thermal stress intensity factors have singularities. The thermal stress intensity factors at the interfacial crack tip located in the distance from the cusp crack tip vary with the location of the interfacial crack tip. From the results of the analysis, the complex potential functions and the thermal stress intensity factors for the cusp-type inclusion without the interfacial crack are derived under the cusp surface boundary conditions insulated or fixed to zero relative temperature.

A FINITE ELEMENT ANALYSIS ON THE EFFECT OF THE REVERSE HEADGEAR TO THE MAXILLARY COMPLEX (REVERSE HEADGEAR가 상악골체에 미치는 영향에 관한 유한요소법적 분석)

  • Kim, Joo-Young;Sohn, Byung-Hwa
    • The korean journal of orthodontics
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    • v.15 no.1
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    • pp.7-22
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    • 1985
  • The purpose of this study was to analyze the stress distribution and the displacement in the maxillary complex after the application of the reverse headgear. The direction of force was parallel to the occlusal plane. Orthopedic force,300gm, was applied to the maxilla of the dry human skull in a forward direction. The stress distribution and the displacement within the maxillary Complex was analyzed by a 3-dimensional finite element method. The results were as follows: 1. The stress distribution at the molar region was greater than that at the anterior. 2. The stress distribution at the lateral side of the premaxilla was greater than that at the middle aide, especially high stress was noted at the canine eminence. 9. Compressive stress was noted only at the frontozygomatic suture of the zygomatic arch. 4. A forward, upward, and sideward displacement was noted at the entire nodal points of the zygomaticomaxillary suture portion. A displacement with a slight rotation was observed on the transverse palatine suture. 5. The maximum stress was observed at the lateral side of the maxillary tuberosity area, and generally the forward and downward displacement was noted at all this area.

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An Analysis of Stress Pattern in the Coracoclavicular Ligaments with Scapular Movements: A Cadaveric Study Using Finite Element Model

  • Kim, Yoon Sang;Kim, In-Sung;Yoo, Yon-Sik;Jang, Seong-Wook;Yang, Cheol-Jung
    • Clinics in Shoulder and Elbow
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    • v.18 no.3
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    • pp.152-158
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    • 2015
  • Background: Acromioclavicular (AC) stability is maintained through a complex combination of soft-tissue restraints that include coracoclavicular (CC), AC ligament and overlying muscles. Among these structures, the role of the CC ligament has continued to be studied because of its importance on shoulder kinematics, especially after AC injury. This study was designed to determine the geometric change of conoid and trapezoid ligaments and resulting stresses on these ligaments according to various scapular motions. Methods: The scapuloclavicular (SC) complex was isolated from a fresh-frozen cadaver by removing all soft tissues except the AC and CC ligaments. The anatomically aligned SC complex was then scanned with a high-resolution computed tomography scanner into 0.6- mm slices. The Finite element model of the SC complex was obtained and used for calculating the stress on different parts of the CC ligaments with simulated movements of the scapula. Results: Average stress on the conoid ligament during anterior tilt, internal rotation, and scapular protraction was higher, whereas the stress on the trapezoid ligament was more prominent during posterior tilt, external rotation, and retraction. Conclusions: We conclude that CC ligament plays an integral role in regulating horizontal SC motion as well as complex motions indicated by increased stress over the ligament with an incremental scapular position change. The conoid ligament is the key structure restraining scapular protraction that might occur in high-grade AC dislocation. Hence in CC ligament reconstructions involving only single bundle, every attempt must be made to reconstruct conoid part of CC ligament as anatomically as possible.

New Engineering Approach for Estimating Crack Opening Displacement of Complex Cracked Pipes (복합균열이 존재하는 배관의 균열개구변위 계산을 위한 새로운 공학적 계산식)

  • Kim, Yeong-Jin;Heo, Nam-Su;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.8
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    • pp.1235-1241
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    • 2001
  • An engineering estimation equation for the crack opening displacement(COD) is proposed for a complex cracked pipe, based on the reference stress approach. To define the reference stress, a simple plastic limit load analysis for the complex cracked pipe subjected to combined bending and tension is performed considering the crack closure effect in the compressive-stressed region. Comparison with ten published test data and the results from existing method shows that the present method not only reduces non-conservatism associated with the existing method, but also provides consistent and overall satisfactory results.

Effect of element size in hybrid stress analysis around a hole in loaded orthotropic composites (직교이방성 재료의 구멍주위에 관한 하이브리드 응력해석시 요소크기의 효과)

  • Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.10
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    • pp.1702-1711
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    • 1997
  • A numerical study for the number of terms of a power series stress function and the effect of hybrid element size on stress analysis around a hole in loaded orthotropic composites is presented. The hybrid method coupling experimental and/or theoretical inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width glass epoxy tensile plate. The tests are done by rarying the number of terms, element size and nodal locations on the external boundary of the hybrid region. The numerical results indicate that the hybrid method is accurate and powerful in both experimental and numerical stress analysis.