• 제목/요약/키워드: axial stress

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임플란트 식립 시 골질이 주입회전력에 미치는 영향에 관한 삼차원 유한요소 분석 (Effect of Bone Quality on Insertion Torque during Implant Placement; Finite Eelement Analysis)

  • 정재덕;조인호
    • 구강회복응용과학지
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    • 제25권2호
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    • pp.109-123
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    • 2009
  • 임플란트 골유착의 성공과 임플란트 안정성에서 가장 중요한 것은 골의 양과 질이며 안정성을 평가하는 방법 중 하나인 주입회전력도 골질에 영향을 받는다. 임플란트를 식립할 때 모터에서 생긴 힘이 임플란트에 전달되면 임플란트는 회전력(moment)과 축력(axial force)을 갖게 되고 임플란트와 접촉한 골에서는 절삭과 압박 그리고 마찰이 일어나 응력이 생기는데 이 때 측정되는 주입회전력(insertion torque)은 골질에 따라 다양하게 나타난다. 본 연구에서는 임플란트를 하악 소구치 부위 골에 식립하는 것을 가정하여 골질을 치밀골의 두께와 망상골의 밀도 그리고 하방 치밀골 존재 시로 나누고, 골의 응력과 변위를 소탄성 범위의 유한요소법으로 분석하고 유효응력(von Mises stress)과 회전력 그리고 축력을 비교 연구하여 골질이 주입 회전력에 미치는 영향을 평가하였다. 임플란트($Br{\aa}nemark$ MKIII.RP, ${\phi}3.75{\times}10.0mm$, Nobel Biocare, $G{\ddot{o}}teborg$, Sweden) 와 원통형 골모형(${\phi}9.5{\times}12.0mm$)의 유한요소 모형을 설계하고 변수로 상부 치밀골의 두께(0.5 mm, 1.5 mm, 2.5 mm)와 치밀골 하부에 망상골의 밀도($0.85g/cm^3$, $1.11g/cm^3$, $1.25g/cm^3$) 그리고 골모형 하부에 1 mm 두께의 치밀골 유무에 따라 총 7개의 모형을 만들었으며, 임플란트가 식립될 때 발생하는 유효응력과 축력 그리고 회전력을 시간대 별로 비교하였다. 임플란트 플랜지 하연이 골의 상부를 파고드는 300 msec, 중간 정도 들어간 550 msec, 완전히 들어가 플랜지 상면이 골 표면과 일치한 800 msec로 나누어 관찰하였을 때 축력은 500 msec 전후에서, 회전력은 800 msec 전후에서 최대값를 보였으며 유효응력 분포는 서로 비슷하였다. 이 같은 실험 결과를 바탕으로 축력을 영역 별로 비교하여 다음과 같은 결과를 얻었다. 1. $Br{\aa}nemark$ MKIII 임플란트는 플랜지가 골을 파고들 때 축력이 치밀 골에서 가장 높았고, 회전력은 플랜지가 골상부에 걸리어 축력이 급격히 감소한 이후에 최대 회전력을 보였으며, 이 때 유효응력 분포는 플랜지와 접촉하는 골 상부에 집중되었다. 2. 임플란트 식립 시 치밀골의 두께가 두꺼울수록 축력과 회전력이 높게 나타났으며 치밀골의 두께가 축력과 회전력에 가장 큰 영향을 주었다. 3. 치밀골의 두께가 1.5 mm 이상인 경우 망상 골의 밀도가 축력에 미치는 영향은 작았고, 치밀골의 두께가 0.5 mm인 경우 망상골의 밀도가 축력과 회전력에 영향이 있을 것으로 사료되었다. 4. 양측 피질골 존재 시 축력의 합은 상부 피질골의 두께가 같은 다른 경우와 비슷하였으나 부위별 촉력은 골하부에서 양측 피질골 모형이 가장 높았고, 회전력은 하방 피질골과 접촉할 때는 피질골 두께가 같은 다른 모형보다 다소 높으나 최대 회전력은 비슷하였다. 위 결과를 토대로 하악 소구치 부위에 $Br{\aa}nemark$ MKIII 임플란트 식립 시 골질과 관련된 요소 중에 치밀골의 두께가 주입회전력에 가장 큰 영향을 주며 망상골의 밀도를 높이는 술식도 일차적 안정성 증가에 유용할 것으로 사료되는 바이다.

Stress analysis model for un-bonded umbilical cables

  • Chen, Xiqia;Fu, Shixiao;Song, Leijian;Zhong, Qian;Huang, Xiaoping
    • Ocean Systems Engineering
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    • 제3권2호
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    • pp.97-122
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    • 2013
  • For the optimization design and strength evaluation of the umbilical cable, the calculation of cross section stress is of great importance and very time consuming. To calculate the cross section stress under combined tension and bending loads, a new integrated analytical model of umbilical cable is presented in this paper. Based on the Hook's law, the axial strain of helical components serves as the tensile stress. Considering the effects of friction between helical components, the bending stress is divided into elastic bending stress and friction stress. For the former, the elastic bending stress, the curvature of helical components is deduced; and for the latter, the shear stress before and after the slipping of helical components is determined. This new analytical model is validated by the experimental results of an umbilical cable. Further, this model is applied to estimate the extreme strength and fatigue life of the umbilical cable used in South China Sea.

축방향 관통균열이 존재하는 곡관의 한계 하중 및 공학적 J-적분 예측 (Limit Load and Approximate J-Integral Estimates for Axial-Through Wall Cracked Pipe Bend)

  • 송태광;김종성;진태은;김윤재
    • 대한기계학회논문집A
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    • 제31권5호
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    • pp.562-569
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    • 2007
  • This paper presents plastic limit loads and approximate J estimates for axial through-wall cracked pipe bends under internal pressure and in-plane bending. Geometric variables associated with a crack and pipe bend are systematically varied, and three possible crack locations (intrados, extrados and crown) in pipe bends are considered. Based on small strain finite element limit analyses using elastic-perfectly plastic materials, effect of bend and crack geometries on plastic limit loads for axial through-wall cracked pipe bends under internal pressure and in-plane bending are quantified, and closed-form limit solutions are given. Based on proposed limit load solutions, a J estimation scheme for axial through-wall cracked pipe bends under internal pressure and in-plane bending is proposed based on reference stress approach.

축방향 프로파일 형태에 따른 롤러의 탄성유체윤활 연구 (A Study on the Elastohydrodynamic Lubrication of Roller Contact according to Axial Profiles)

  • 장시열;김완두;김민철
    • Tribology and Lubricants
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    • 제23권5호
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    • pp.187-194
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    • 2007
  • The profile of the roller in the axial direction is the main design factor in order to increase endurance life against the contact fatigue due to the stress concentration along the edge of the roller. Even under the elas-tohydrodynamic lubrication (ehl) conditions, the stress concentration along the edge of the roller greatly worsens the fatigue life both for the roller and contacting body. In this study, roller contacts of finite axial length are studied for the film thickness and pressure of ehl. For the real contact behaviors under the ehl conditions, multigrid and multi-level method is applied so that much higher loading conditions can be investigated. Several axial profiles of roller are investigated to verify how both ehl film and pressure are generated and some of them are recommended for the ehl contact condition.

Axial frequency analysis of axially functionally graded Love-Bishop nanorods using surface elasticity theory

  • Nazemnezhad, Reza;Shokrollahi, Hassan
    • Steel and Composite Structures
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    • 제42권5호
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    • pp.699-710
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    • 2022
  • This work presents a comprehensive study on the surface energy effect on the axial frequency analyses of AFGM nanorods in cylindrical coordinates. The AFGM nanorods are considered to be thin, relatively thick, and thick. In thin nanorods, effects of the inertia of lateral motions and the shear stiffness are ignored; in relatively thick nanorods, only the first one is considered; and in thick nanorods, both of them are considered in the kinetic energy and the strain energy of the nanorod, respectively. The surface elasticity theory which includes three surface parameters called surface density, surface stress, and surface Lame constants, is implemented to consider the size effect. The power-law form is considered for variation of the material properties through the axial direction. Hamilton's principle is used to derive the governing equations and boundary conditions. Due to considering the surface stress, the governing equation and boundary condition become inhomogeneous. After homogenization of them using an appropriate change of variable, axial natural frequencies are calculated implementing harmonic differential quadrature (HDQ) method. Comprehensive results including effects of geometric parameters and various material properties are presented for a wide range of boundary condition types. It is believed that this study is a comprehensive one that can help posterities for design and manufacturing of nano-electro-mechanical systems.

탄소강의 퀜칭처리 과정에서 변형율이력을 고려한 탄소성열응력의 유한요소 해석(II) - 탄점소성 열응력 해석 - (An Finite Element Analysis for Elasto-Plastic Thermal Stresses Considerating Strain Hysteresis at Quenching Process of Carbon Steel(II) - Analysis of elasto-viscoplastic thermal stress -)

  • 김옥삼;구본권
    • 열처리공학회지
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    • 제9권2호
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    • pp.147-158
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    • 1996
  • Generally, analytical consideration on the behaviour of metallic structures during quenching process, and analysis on the thermal stress and deformation after heat treatment are very important in presumption of crack and distorsion of quenched material. In this study a set of constitute equations relevant to the analysis of thermo elasto-viscoplastic materials with strain hysteresis during quenching process way presented on the basis of contimuum thermo-dynamics mechanics. The thermal stresses were numerically calculated by finite element technique of weighted residual method and the principle of virtual work. In the calculation process, the temperature depandency of physical and mechaniclal properties of the material in consideration. On the distribution of elasto-viscoplastic thermal stresses according to radial direction, axial and tangential stress are tensile stress(50MPa, 1.5GPa and 300MPa) in surface and compressive stress(-1.2GPa, -1.14GPa and -750MPa) in the inner part on the other hand, radial stress is tensile stress(900MPa) in area of analysis. According to axial direction, tangential stress gradients are average 60MPa/mm on the whole. The reversion of stress takes place at 11.5 to 16.8mm from the center in area of analysing.

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증기발생기 제1열 전열관의 응력 해석 (Stress Analysis of Steam Generator Row-1 Tubes)

  • 김우곤;류우석;이호진;김성청
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.25-30
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    • 2000
  • Residual stresses induced in U-bending and tube-to-tubesheet joining processes of PWR's steam generator row-1 tube were measured by X-ray method and Hole-Drilling Method(HDM). The stresses resulting from the Internal pressure and the temperature gradient in the steam generator were also estimated theoretically. In U-bent lesions, the residual stresses at extrados were induced with compressive stress(-), and its maximum value reached -319 MPa in axial direction at ${\psi}=0^{\circ}$ in position. Maximum tensile residual stress of 170MPa was found to be at the flank side at Position of${\psi}=90^{\circ}$, i.e., at apex region. In tube-to-tubesheet fouling methods, the residual stresses induced by the explosive joint method were found to be lower than that by the mechanical roll method. The gradient of residual stress along the expanded tube was highest at the. transition region, and the residual stress in circumferential direction was found to be higher than the residual stress in axial direction. Hoop stress due to an internal pressure between primary and secondary side was analyzed to be 76 MPa and thermal stress was 45 MPa.

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Study on seismic performance of exterior reinforced concrete beam-column joint under variable loading speeds or axial forces

  • Guoxi Fan;Wantong Xiang;Debin Wang;Zichen Dou;Xiaocheng Tang
    • Earthquakes and Structures
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    • 제26권1호
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    • pp.31-48
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    • 2024
  • In order to get a better understanding of seismic performance of exterior beam-column joint, reciprocating loading tests with variable loading speeds or axial forces were carried out. The main findings indicate that only few cracks exist on the surface of the joint core area, while the plastic hinge region at the beam end is seriously damaged. The damage of the specimen is more serious with the increase of the upper limit of variable axial force. The deflection ductility coefficient of specimen decreases to various degrees after the upper limit of variable axial force increases. In addition, the higher the loading speed is, the lower the deflection ductility coefficient of the specimen is. The stiffness of the specimen decreases as the upper limit of variable axial force or the loading speed increase. Compared to the influence of variable axial force, the influence of the loading speed on the stiffness degradation of the specimen is more obvious. The cumulative energy dissipation and the equivalent viscous damping coefficient of specimen decrease with the increase of loading speed. The influence of variable axial force on the energy dissipation of specimen varies under different loading speeds. Based on the truss model, the biaxial stress criterion, the Rankine criterion, the Kent-Scott-Park model, the equivalent theorem of shearing stress, the softened strut-and-tie model, the controlled slip theory and the proposed equations, a calculation method for the shear capacity is proposed with satisfactory prediction results.

Post-buckling behaviours of axially restrained steel columns in fire

  • Li, Guo-Qiang;Wang, Peijun;Hou, Hetao
    • Steel and Composite Structures
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    • 제9권2호
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    • pp.89-101
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    • 2009
  • This paper presents a simplified model to study post-buckling behaviours of the axially restrained steel column at elevated temperatures in fire. The contribution of axial deformation to the curvature of column section is included in theoretical equations. The possible unloading at the convex side of the column when buckling occurs is considered in the stress-strain relationship of steel at elevated temperatures. Parameters that affect structural behaviours of the axial restrained column in fire are studied. The axial restraint cause an increase in the axial force before the column buckles; the buckling temperature of restrained columns will be lower than non-restrained steel columns. However, the axial force of a restrained column decreases after the column buckles with the elevation of temperatures, so make use of the post-buckling behaviour can increase the critical temperature of restrained columns. Columns with temperature gradient across the section will produce lower axial force at elevated temperatures.

영향계수를 이용한 원통용기 축방향 표면결함의 응력확대계수의 계산 (Stress Intensity factor Calculation for the Axial Semi-Elliptical Surface Flaws on the Thin-Wall Cylinder Using Influence Coefficients)

  • 장창희;문호림;정일석;김태룡
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2390-2398
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    • 2002
  • For integrity analysis of nuclear reactor pressure vessel, including the Pressurized thermal shock analysis, the fast and accurate calculation of the stress intensity factor at the crack tip is needed. For this, a simple approximation scheme is developed and the resulting stress intensity factors for axial semi-elliptical cracks in cylindrical vessel under various loading conditions are compared with those of the finite element method and other approximation methods, such as Raju-Newman's equation and ASME Sec. Xl approach. For these, three-dimensional finite-element analyses are performed to obtain the stress intensity factors for various surface cracks with t/R = 0.1. The approximation methods, incorporated in VINTIN (Vessel INTegrity analysis-INner flaws), utilizes the influence coefficients to calculate the stress intensity factor at the crack tip. This method has been compared with other solution methods including 3-D finite clement analysis for internal pressure, cooldown, and pressurized thermal shock loading conditions. The approximation solutions are within $\pm$2.5% of the those of FEA using symmetric model of one-forth of a vessel under pressure loading, and 1-3% higher under pressurized thermal shock condition. The analysis results confirm that the VINTIN method provides sufficiently accurate stress intensity factor values for axial semi-elliptical flaws on the surface of the reactor pressure vessel.