• 제목/요약/키워드: Non-Dimensional Stress

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접착 보강된 노치 균열판의 응력확대계수 산정을 위한 비등매개변수 모델 기반의 3차원 가상균열닫힘법 (Three-Dimensional Virtual Crack Closure Technique Based on Anisoparametric Model for Stress Intensity Factors of Patch Repaired Plates with Cracks at Notches)

  • 안재석;우광성
    • 대한토목학회논문집
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    • 제32권1A호
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    • pp.39-48
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    • 2012
  • 본 논문에서는 V형 노치 및 반원형 노치 균열을 갖는 패치보강 적층판의 응력확대계수 산정을 위하여 수치해석적 방법을 사용한다. p-수렴 비등매개변수 모델이 고려되고, 이와 같은 비등매개변수 모델의 결과를 활용한 3차원 가상균열닫힘법에 대한 식이 표현된다. 1차원 로바토 함수로부터 확장된 3차원 계층적 형상함수를 가지고서, 임의의 요소에서의 변위장의 변위-변형률 관계와 3차원 구성방정식이 표현된다. 원형경계의 기하형상을 나태내기 위해 초유한사상기법을 사용한다. 응력집중계수, 응력분포, 자유도, 그리고 무차원 응력확대계수 등의 항목에 대해서, 제안된 모델의 정확도와 단순성이 기존의 결과들과의 비교를 통해 설명된다. 균열 적층판의 폭, 높이, 노치근입부의 반경, V형 노치의 경사각, 균열길이 등의 변화에 따른 응력확대계수가 산정된다.

암석파괴역학에 의한 3차원 절리면의 진행성 파괴 모델 (A Three-Dimensional Progressive Failure Model for Joints Considering Fracture Mechanics and Subcritical Crack Growth in Rock)

  • 김치환
    • 터널과지하공간
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    • 제19권2호
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    • pp.86-94
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    • 2009
  • 암석파괴역학과 파괴인성(rock fracture toughness) 이하의 응력확대계수(stress intensity factor)에서 균열이 성장하는 현상을 이용하여 암석 절리면의 비선형 강도특성과, 시간의 경과에 따라 파괴가 진행되는 특성을 고려한 수치해석용 3차원 절리면 요소를 개발하였다. 이 절리면 요소를 사용하여 암석 절리면 전단시험을 수치해석으로 모사한 결과, 전단응력이 증가하고 시간이 경과함에 따라 절리면 사이에 연결된 절리면 내 접점(asperity in joint)에서 암석의 파괴인성보다 응력확대계수가 작음에도 불구하고 균열이 발생하였고 시간이 경과하면서 균열이 성장, 절리면 내 접점이 파괴되었다. 이와 같이 각각의 절리면 내 접점의 파괴에 따라 절리면의 강도는 감소하고, 절리면의 전단응력은 응력경화와 응력연화 후 잔류응력에 도달하는 비선형거동을 보이면서 시간의 경과에 따라 점진적으로 파괴되었다.

FEM 3차원 모델을 이용한 인공관절 대퇴 Stem 경계면의 미세운동 분석 (A Three-Dimensional Finite Element Study of Interface Micromotion in a Non-Cement Total Hip stem)

  • 김성곤;최형연;채수원
    • 대한의용생체공학회:의공학회지
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    • 제17권1호
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    • pp.61-70
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    • 1996
  • In cementless total hip arthroplasty(THA), an initial stability of the femoral component is mandatory to achieve bony inyowth and secondary long term fixation. Primary stability of the femoral component can be obtained by minimizing the magnitude of relative micromotions at bone stem interface. An accurate evaluation of interf'ace micromotion and stress/strain fields in the bone-implant system may be relevant for better understanding of clinical situations and improving THA design. Recently finite element method(FEM) was introduced in'orthopaedic research field due to its unique capacity to evaluate stress in structure of complex shape, loading and material behavior. The authors developed the 3-dimensional finite element model of proximal femur with $Multilock^{TM}$ stem of 1179 blick elements to analyse the micromotions and mechanical behaviors at the bone-stem inteface in early post-operative period for the load simulating single leg stance. The results indicates that the values of relative motion for this well fit stem were $150{\mu}m$ in maximum $82{\mu}m$ in minimum and the largest relative motion was developed in medial region of Proximal femur and in anterior-posterior direction. The motion in the proximal bone was much greater than in the distal bone and the stress pattern showed high stress concentration on the cortex near the tip of the stem. These findings indicate that the loading on the hip joint in the early postoperative situation before achieving bony ingrowth could produce large micromotion of $150{\mu}m$ and clinicaly non-cemented THA patient should not be allowed weight bearing strictly early in the postoperative period.

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변위 측정을 기본으로 한 구멍뚫기방법에 의한 잔류응력 측정 방법 (Determination of Residual Stress by the Hole Drilling Method Based on Displacement Measurement)

  • 신동일;주진원
    • 대한기계학회논문집A
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    • 제29권11호
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    • pp.1542-1550
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    • 2005
  • This paper presents the numerical procedure for calculating non-uniform residual stresses based on relieved displacements obtained from incremental hole drilling. The relationship between the in-plane displacement produced by introducing a blind hole and the corresponding residual stress is established. Finite element calculations are described to evaluate the relieved coefficients required for the determination of non-uniform residual stresses. Validity of the proposed method has been tested through three axisymmetric test examples and two three-dimensional examples. As a result of . simulation on the test examples, it is found that this numerical procedure is well adopted to measuring non-uniform residual stress in the full hole depth range of the hole diameter from the surface. The accuracy of the hole drilling method with displacement measurement is discussed, comparing tile method with strain measurement

한반도 3차원 지중응력과 이를 고려한 터널해석에 대한 연구 (Korean Three Dimensional In-situ stresses and Tunnel Analysis Considering These Stresses)

  • 김동갑;박종관;김수정
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2001년도 봄 학술발표회 논문집
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    • pp.97-104
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    • 2001
  • The magnitude and the orientation of in-situ stresses contribute to ground displacement and stresses in the field of underground space. This paper investigates in-situ stresses at various depth on the basis of 392 data which were determined by over-coring and hydro-fracturing test methods in the Korea peninsula. The result shows that in-situ stress distribution are more or less non-uniform through the Granite and Gneiss sub-area, and that the K-value in the Volcanic sub-area are below 1 at the deep depth. Also, the result of three dimensional numerical analyses of tunnel shows that the direction and magnitude of displacement around tunnel are much effected by the stress difference between the maximum and the minimum horizontal stress.

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인볼류트 스퍼기어 설계용 자동화 프로그램 개발 (Development of Automative Program for Designing Involute Spur Gear)

  • 서정덕;정성원;권순구;박종민;최원식;김종순;권순홍
    • 한국기계가공학회지
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    • 제12권6호
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    • pp.142-151
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    • 2013
  • This study develops an automation system for metallic mold design that is applicable in forging non-axial symmetric parts. The metallic mold design program is used to design the metallic mold using two-dimensional axial symmetric metallic molds and to predict the stress concentration using finite element analyses. Then, the program redesigns the metallic mold using variables such as the optimal split diameter, maximum allowable inner pressure, fit tolerance, and stress distribution, which are calculated using the metallic mold design program. When the involute spur gear is forged, stress concentration occurs on the tooth root bounded at the symmetric surface. The SCM4 material is suitable for metallic molds because the stress is less than the yield strength of the insert and it acts on the tooth root regardless of the inner pressure. The metallic mold for forging non-axial symmetric parts can be designed through adjusting the magnitude of the contact pressure. The program developed in this study can be applied to metallic mold designs in involute spur gears of forging, which is an ordinary non-axial symmetric part.

Creep analysis of the FG cylinders: Time-dependent non-axisymmetric behavior

  • Arefi, Mohammad;Nasr, Mehrdad;Loghman, Abbas
    • Steel and Composite Structures
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    • 제28권3호
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    • pp.331-347
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    • 2018
  • In this paper history of stresses, strains, radial and circumferential displacements of a functionally graded thick-walled hollow cylinder due to creep phenomenon is investigated. The cylinder is subjected to an arbitrary non-axisymmetric two dimensional thermo-mechanical loading and uniform magnetic field along axial direction. Using equilibrium, strain-displacements and stress-strain relations, the governing differential equations of the problem containing creep strains are derived in terms of radial and circumferential displacements. Since the displacements are varying with time due to creep phenomenon, an analytical solution is not available for these equations. Thus, a semi-analytical procedure based on separation of variables and Fourier series together with a numerical procedure is employed. The numerical results indicate that the non-axisymmetric loading and the material grading index have significant effect on stress redistributions. Moreover, by proper selection of material for any combination of non-axisymmetric loading, one can arrive suitable response for the cylinder to achieve optimal design. With some simplifications, the results are validated with the existing literature.

Effect of gravity on a micropolar thermoelastic medium with voids under three-phase-lag model

  • Alharbi, Amnah M.;Othman, Mohamed I.A.;Al-Autabi, Al-Anoud M.Kh.
    • Structural Engineering and Mechanics
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    • 제76권5호
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    • pp.579-590
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    • 2020
  • This paper's objective is to investigate the effect of gravity on a micropolar thermoelastic medium with voids. The problem is assessed according to the three-phase-lag model. An analysis of the resulting non-dimensional displacement, temperature variation, and internal stress of the study material is carried out and presented graphically. The non-dimensional displacement, temperature, micro-rotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. Comparisons are made with the results predicted by different theories for different values of gravity, the phase-lag of the heat flux and the phase-lag of the temperature gradient. The numerical results reveal that gravity and relaxation times have a significant influence on the distribution of the field quantities. Some notable insights of interest are deduced from the investigation.

유한 요소법에 의한 미소 원공 주위의 응력 분포에 대한 3차원 해석 (3-D Analysis of Stress Distribution Around Micro Hole by F.E.M.)

  • 송삼홍;김진봉
    • 대한기계학회논문집
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    • 제15권5호
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    • pp.1462-1471
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    • 1991
  • 본 연구에서는 미소 결함주위에서 발생, 전파하는 균열들에 미치는 초기 결함 깊이와 상호 간섭 영향을 검토하기 위하여 기존 재료가 갖고 있는 결함이나 비금속 개 재물로 대신할 수 있다고 생각되는 미소 원공의 크기를 변화시킨 모델에 대해 유한 요 소법을 이용하여 3차원적으로 응력을 해석하였다. 실제 사용하고 있는 부재에 결함 들이 존재할 경우 응력장의 간섭으로 피로 균열 진전이 가속화됨으로 미소 원공 주위 의 응력 분포 및 미소 원공사이의 응력장의 간섭과 미소 원공에서 발생, 전파하는 표 면 균열의 응력 확대 계수에 미치는 영향에 대하여 비교검토 하였다.

三次元數値모델을 使용한 東支那海의 定常均一風의 應力에 의한 海流의 算定 (Comoutation of Currents Driven by a Steady Uniform Wind Stress on the East China Sea using a Three-dimensional Numerical Model)

  • 최병호
    • 한국해양학회지
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    • 제19권1호
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    • pp.36-43
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    • 1984
  • 複雜한 沿岸地形 및 水深變化를 考慮한 黃海 및 東支那海의 三次元 水動力學的 羞恥모델을 開發하여 定常均一風의 應力에 의한 海流의 手織分布를 算定하였다. 北西風 및 南西風의 秒速 약 10m에 該當하는 海面應力 1.6dyne/$\textrm{cm}^2$에 의한 陸棚體系의 反應을 調査하기 위한 手織實驗에서 動的 循環形態를 提示하고 檢討하였다.

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