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Linear Fracture Mechanics and Linear Notch Mechanics (선형파괴역학과 선형노치역학)

  • 김윤해
    • Journal of the KSME
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    • v.35 no.3
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    • pp.242-251
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    • 1995
  • 균열(crack)을 갖는 부재의 강도를 평가할 때에 있어서 응력확대계수를 이용하는 데에 대한 합 리성은 현재까지 의심할 여지없는 사실로서 받아들여지고 있다. 그 근거는 소규모 항복의 조건이 만족되고 있을 때에는 균열의 치수가 틀리더라도 균열선단부근의 역학적 상태는 응력확대계수 만에 의해 지배된다는 사실에 있다. 한편, 노치(notch)를 갖는 부재의 강도를 평가할 때에 최대 응력만을 고려하는 것은 불충분하다. 예를 들면, 그것은 노치반경 .rho.가 10 mm 정도의 노치와 .rho.가 0에 상당하는 균열과는 최대응력 .sigma.$_{max}$를 같게 하더라도 역학적 상태의 가 혹함(severity)이 동일하게 되지 않는다는 사실로부터도 명백하다. 그렇다면, .rho.가 0과 10 mm의 중간값, 예를 들면 1 mm 혹은 0.1 mm일 때와 같은 역학적 상태의 가혹함이 생기기 위해서는 .sigma.$_{max}$가 얼마이면 될까\ulcorner 또는, 만약 .rho.가 틀릴 때, 동일한 현상(same phenomenon)이 생기지 않는다고 한다면 그것은 어떠한 물리적 배경에 근거한 것일까\ulcorner 이글에 서는 이러한 질문에 대한 해답과 함께 선형파괴역학과 선형노치역학이 생겨나게 된 간략한 역사적 배경과 선형노치역학의 개념에 대해 언급하기로 한다.

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Shear-Rate Dependent Ring-Shear Characteristics of the Waste Materials of the Imgi Mine in Busan (부산 임기광산 광미의 전단속도에 따른 링 전단특성 연구)

  • Jeong, Sueng-Won;Ji, Sang-Woo;Yim, Gil-Jae
    • Journal of the Korean Geotechnical Society
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    • v.30 no.7
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    • pp.5-15
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    • 2014
  • Abandoned mine deposits are exposed to various physico-chemical geo-environmental hazards and disasters, such as acid mine drainage, water contamination, erosion, and landslides. This paper presents the ring shear characteristics of waste materials. The ring shear box with a rotatable O-ring was used in this study. Three tests were performed: (i) Shear stress-time relationship for given normal stress and shear speed, (ii) shear stress as a function of shear speed, and (iii) shear stress as a function of normal stress. For a given normal stress (50 kPa) and speed (0.1 mm/sec), the materials tested exhibit a strain softening behavior, regardless of drainage condition. The peak and residual shear stresses were determined for each normal stress and shear speed. The shear stress was measured when shear speed is equal to 0.01, 0.1, 1, 10, 50, 100 mm/sec or when normal stress is equal to 20, 40, 60, 80, 100, 150 kPa. From the test results, we found that the shear stress increases with increasing shear speed. The shear stress also increases with increasing normal stress. However, different types of shearing mode were observed in drained and undrained conditions. Under drained condition, particle crushing was observed from the shearing zone to the bottom of lower ring. Under undrained condition, particle crushing was observed only at the shearing zone, which has approximately 1 cm thick. It means that a significant high shear speed under undrained condition can result in increased landslide hazard.

Estimation of the Thickness and the Material Combination of the Thermal Stress Control Layer (TSCL) for the Stellite21 Hardfaced STD61 Hot Working Tool Steel Using Three-Dimensional Finite Element Analysis (3 차원 유한요소해석을 이용한 Stellite21 초합금으로 하드페이싱된 STD 61 열간금형강의 열응력제어층 재료조합 및 두께 예측)

  • Park, Na-Ra;Ahn, Dong-Gyu;Oh, Jin-Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.8
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    • pp.857-862
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    • 2014
  • The research on a thermal stress control layer (TSCL) begins to undertake to reduce residual stress and strain in the vicinity of the joined region between the hardfacing layer and the base part. The goal of this paper is to estimate the material combination and the thickness of TSCL for the Stellite21 hardfaced STD61 hot working tool steel via three-dimensional finite element analysis (FEA). TSCL is created by the combination of Stellite21 and STD61. The thickness of TSCL ranges from 0.5 mm to 1.5 mm. The influence of the material combination and the thickness of TSCL on temperature, thermal stress and thermal strain distributions of the hardfaced part have been investigated. The results of the investigation have been revealed that a proper material combination of TSCL is Stellite21 of 50 % and STD61 of 50 %, and its appropriate thickness is 1.0 mm.

Three-dimensional finite element analysis for stress distribution on the diameter of orthodontic mini-implants and insertion angle to the bone surface (교정용 미니임플랜트의 직경 및 식립각도에 따른 응력 분포에 관한 3차원 유한요소 분석)

  • Byoun, Na-Young;Nam, Eun-Hye;Kim, Il-Kyu;Yoon, Young-Ah
    • The korean journal of orthodontics
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    • v.36 no.3 s.116
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    • pp.178-187
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    • 2006
  • The present study was performed to evaluate the stress distribution on the diameter of the mini-implant and insertion angle to the bone surface. To perform three dimensional finite element analysis, a hexadron of $15{\times}15{\times}20mm^3$ was used, with a 1.0 mm width of cortical bone. Mini-implants of 8 mm length and 1.2 mm, 1.6 mm, and 2.0 mm in diameter were inserted at $90^{\circ},\;75^{\circ},\;60^{\circ},\;45^{\circ},\;and\;30^{\circ}$ to the bone surface. Two hundred grams of horizontal force was applied to the center of the mini-implant head and stress distribution and its magnitude were analyzed by ANSYS, a three dimensional finite element analysis program. The findings of this study showed that maximum von Mises stresses in the mini-implant and cortical and cancellous bone were decreased as the diameter increased from 1.2 mm to 2.0 mm with no relation to the insertion angle. Analysis of the stress distribution in the cortical and cancellous bone showed that the stress was absorbed mostly in the cortical bone, and little was transmitted to the cancellous bone. The contact area increased according to the increased diameter and decreased insertion angle to the bone surface, but maximum von Mises stress in cortical bone was more significantly related with the contact point of the mini-implant into the cortical bone surface than the insertion angle to the bone surface. The above results suggest that the maintenance of the mini-implant is more closely related with the diameter and contact point of the mini-implant into the cortical bone surface rather than the insertion angle.

Three-dimensional finite element analysis for influence of marginal bone resorption on stress distribution in internal conical joint type implant fixture (변연골 흡수가 내측연결 임플란트 매식체의 응력분포에 미치는 영향)

  • Yun, Mi-Jung;Yoon, Min-Chul;Eom, Tae-Gwan;Huh, Jung-Bo;Jeong, Chang-Mo
    • The Journal of Korean Academy of Prosthodontics
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    • v.50 no.2
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    • pp.99-105
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    • 2012
  • Purpose: The change of the marginal bone around dental implants have significance not only for the functional maintenance but also for the esthetic success of the implant. The purpose of this study was to investigate the load transfer of internal conical joint type implant according to marginal bone resorption by using the three-dimensional finite element analysis model. Materials and methods: The internal conical joint type system was selected as an experimental model. Finite element models of bone/implant/prosthesis complex were constructed. A load of 300 N was applied vertically beside 3 mm of implant axis. Results: The pattern of stress distribution according to marginal bone resorption was similar. The maximum equivalent stress of implant was increase according to marginal bone resorption and the largest maximum equivalent stress was shown at model of 1 mm marginal bone resorption. Although marginal bone loss more than 1mm was occurred increasing of stress, the width of the stress increase was decreasing. Conclusion: According to these results, the exposure of thin neck portion of internal conical joint type implant is most important factor in stress increasing.

Evaluation of the stress distribution in the external hexagon implant system with different hexagon height by FEM-3D (임플란트 hexagon 높이에 따른 임플란트와 주위 조직의 응력분포 평가)

  • Park, Seong-Jae;Kim, Joo-Hyeun;Kim, So-Yeun;Yun, Mi-Jung;Ko, Sok-Min;Huh, Jung-Bo
    • The Journal of Korean Academy of Prosthodontics
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    • v.50 no.1
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    • pp.36-43
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    • 2012
  • Purpose: To analyze the stress distribution of the implant and its supporting structures through 3D finite elements analysis for implants with different hexagon heights and to make the assessment of the mechanical stability and the effect of the elements. Materials and methods: Infinite elements modeling with CAD data was designed. The modeling was done as follows; an external connection type ${\phi}4.0mm{\times}11.5mm$ Osstem$^{(R)}$ USII (Osstem Co., Pusan, Korea) implant system was used, the implant was planted in the mandibular first molar region with appropriate prosthetic restoration, the hexagon (implant fixture's external connection) height of 0.0, 0.7, 1.2, and 1.5 mm were applied. ABAQUS 6.4 (ABAQUS, Inc., Providence, USA) was used to calculate the stress value. The force distribution via color distribution on each experimental group's implant fixture and titanium screw was studied based on the equivalent stress (von Mises stress). The maximum stress level of each element (crown, implant screw, implant fixture, cortical bone and cancellous bone) was compared. Results: The hexagonal height of the implant with external connection had an influence on the stress distribution of the fixture, screw and upper prosthesis and the surrounding supporting bone. As the hexagon height increased, the stress was well distributed and there was a decrease in the maximum stress value. If the height of the hexagon reached over 1.2mm, there was no significant influence on the stress distribution. Conclusion: For implants with external connections, a hexagon is vital for stress distribution. As the height of the hexagon increased, the more effective stress distribution was observed.

Investigation of the Regression Analysis Method for a Quantitative Evaluation of Implant Crestal Bone Stresses (회귀분석법에 의한 임플란트 경부골 응력의 정량적 분석에 대한 연구)

  • Kim, Woo-Shik;Jo, Kwang-Hun;Lee, Kyu-Bok
    • Journal of Dental Rehabilitation and Applied Science
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    • v.24 no.3
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    • pp.299-310
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    • 2008
  • In this study, the regression analysis method was tested for the estimation of peak stress at stress concentration area in the cervical bone. Submerge type EZ plus implant (Megagen. Daegu, Korea), 4.1 mm in cervical diameter and 9.6 mm in endosseous length, were axisymmetrically modelled together with surrounding alveolar bone of which the width was 10 mm. Vertical force of 100 N was applied to a head of crown above 8.5 mm from the outer surface of the cortical bone. Four different mesh models were composed of differently sized elements in vicinity of sharp corners, and they include 6 stress monitoring points that are located in the same geometrical points regardless of the differences in the meshes. Primary consideration was given to the stresses in the cortical bone surrounding the implant neck. The results showed that virtually all the stresses were concentrated in the cortical bone regardless of mesh designs. The peak stresses were successfully calculated by a regression analysis in a stable manner, as far as the mesh is designed to represent the acute gradient of stresses near the sharp corner.

The Effect of the Diameter and Anastomotic Angle on the Compliance and the Stress Distribution of the End-to-side Anastomosis. (직경 및 문합각도가 단측 문합의 컴플라이언스 및 응력분포에 미치는 영향)

  • 한근조;김영호
    • Journal of Biomedical Engineering Research
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    • v.19 no.2
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    • pp.183-188
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    • 1998
  • Von Mises stress and compliance distribution was evaluated using a finite element analysis on the end-to-side anastomosis of an artery with length of 20-24mm, inner diameter of 4mm, thickness of 0.5mm and a PTFE graft with length of 10mm, inner diameter of 2mm, thickness of 0.2mm when the anastomotic angle was taken from 30$^{\circ}$~90$^{\circ}$ in every 10$^{\circ}$ and the diameter ratio from 0.1-1 in every 0.1. The inner pressure of 1330 dyne/$\textrm{mm}^2$ was applied inside the 2 conduits. It was found that the compliance whose magnitude is larger on the acute angle anastomotic side than on the abtuse angle side became larger as the anastomotic angle became smaller and the diameter ratio larger and that the equivalent stress on the acute angle anastomotic side was larger than that on the abtuse angle side and became larger as the anastomotic angle and the diameter ratio became larger.

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The effect of implant system with reverse beveled platform design on marginal bone stress distribution (임플란트 경부의 역사면 디자인이 변연골 응력분포에 미치는 영향)

  • Cha, Ji-Young;Cho, Jin-Hyun;Jo, Kwang-Hun
    • The Journal of Korean Academy of Prosthodontics
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    • v.48 no.4
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    • pp.266-272
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    • 2010
  • Purpose: The purpose of this study was to investigate the effects of the surface morphology of the implant neck on marginal bone stress measured by using finite element analysis in six implant models. Materials and methods: The submerged type rescue implant system (Dentis co., Daegu, Korea) was selected as an experimental model. The implants were divided into six groups whose implant necks were differently designed in terms of height (h, 0.4 and 1.0 mm) and width (platform width, w = 3.34 + 2b [b, 0.2, 0.3 and 0.4 mm]). Finite element models of implant/bone complex were created using an axisymmetric scheme. A load of 100 N was applied to the central node on the top of crown in parallel with the implant axis. The maximum compression stress was calculated and compared. Results: Stress concentration commonly observed around dental implants did not occur in the marginal bone around all six test implant models. Marginal bone stress varied according to the implant neck bevel which had different width and height. The stress was affected more markedly by the difference in height than in width. Conclusion: This result indicates that the implant neck bevel may play an important role in improving stress distribution in the marginal bone area.

A Study of Assessment for Fatigue Strength of EH Steels at Fillet Welded Joints using 1mm Stress Method (1mm 응력 기법을 적용한 EH 강재 필릿 용접 이음부 피로 강도 평가)

  • Xin, Wen-Jie;Oh, Dong-Jin;Kim, Young-Nam;Kim, Myung-Hyun
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.1
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    • pp.26-33
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    • 2014
  • In this study, Non-load-carrying EH Grade steels in fillet welded joints were evaluated with both the hot spot stress method and the 1mm stress method. The thickness effect criterion for fatigue strength evaluation of welded of welded steel structures recommendations of the IIW was used to evaluate the fatigue strength of EH40 and EH36 and Both EH40 and EH36 have been compared with FAT 125 curve recommended in the IIW. Furthermore, fatigue strength of the welded tow and the ground conditions for Non-load-carrying EH36 based on the 1mm stress method has been discussed.