• Title/Summary/Keyword: maximum principal stress

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A Study on the Propagation Behaviour of the Fatigue Cracks in Rolled Steel Plates (압연강판(壓延鋼板)의 피로균열(被虜龜裂) 전파거동(傳播擧動)에 대(對)한 연구(硏究))

  • C.S.,Kang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.12 no.2
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    • pp.43-58
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    • 1975
  • There are many reports on fatigue crack of metallic materials but most of them relate crack propagation rate to stress intensity factor. The problem of crack propagation is not yet clarified, especially the bridge between micro and macro phenomena In this experiment rotating bending fatigue tests have been carried out with smoothed specimen of rolled steel plates including 0.2% carbon under application of three stress conditions to investigate the slip band and the crack propagation behaviour. The results obtained are as follows; 1) The length of cracks which have grown at initial crack tips can be expressed as follows; $l=Ae^{BNr}$(A,B: constant, $N_r$: cycle ratio) $\frac{dl}{dN}=\frac{AB}{N_f}{\cdot}e^{BNr}$($N_f$:fatigue life) 2) The ratio of slipped grain number to total grain number is $S_f=7{\sigma}-5.6$-5.6{\sigma}_c$($\sigma$: stress amplitude) (${\sigma}_c$: fatigue limit) 3) When the fatigue process transfers from Stage I to Stage II, the crack which propagates into specimen changes its direction from that of the maximum shear stress to the direction of perpendicular to principal stress and this is same in the circumferential direction of specimen. the crack propagation behaviors of both sides of a crack are different each other when they approach to the grain boundary.

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Biomechanical Finite Element Analysis of Bone Cemented Hip Crack Initiation According to Stem Design

  • Kim, Byeong-Soo;Moon, Byung-Young;Park, Jung-Hong
    • Journal of Mechanical Science and Technology
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    • v.20 no.12
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    • pp.2168-2177
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    • 2006
  • The purpose of this investigation was to determine the specific fracture mechanics response of cracks that initiate at the stem-cement interface and propagate into the cement mantle. Two-dimensional finite element models of idealized stem-cement-bone cross-sections from the proximal femur were developed for this study. Two general stem types were considered; Rectangular shape and Charnley type stem designs. The FE results showed that the highest principal stress in the cement mantle for each case occurred in the upper left and lower right regions adjacent to the stem-cement interface. There was also a general decrease in maximum tensile stress with increasing cement mantle thickness for both Rectangular and Charnley-type stem designs. The cement thickness is found to be one of the important fatigue failure parameters which affect the longevity of cemented femoral components, in which the thinner cement was significantly associated with early mechanical failure for shot-time period.

Effects of post treatment on the fatigue strength of weldment (용접부 강도특성 미치는 후처리 영향)

  • Kim Hyeon Su;Park Yun Gi;Yun Jung Geun
    • Proceedings of the KWS Conference
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    • v.43
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    • pp.246-248
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    • 2004
  • Effects of the post treatment on the fatigue strength of a bead-on-plate weldment were investigated in order to improve fatigue strength of the weldment. The post treatment applied were the grinding of weld toe and hammer peening at the weld toe. The fatigue strength of the weldment after post treatment increases. It is attributed to the decrease of the residual stress and the maximum stress at the weld toe by the post treatments. Based on the result, the principal factor controlling the fatigue strength of the weldment was identified as the toe shape of the bead-on-plate weldment.

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Corrections for effects of biaxial stresses in annealed glass

  • Nurhuda, Ilham;Lam, Nelson T.K.;Gad, Emad F.;Calderone, Ignatius
    • Structural Engineering and Mechanics
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    • v.39 no.3
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    • pp.303-316
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    • 2011
  • Experimental tests have shown that glass exhibits very different strengths when tested under biaxial and uniaxial conditions. This paper presents a study on the effects of biaxial stresses on the notional ultimate strength of glass. The study involved applying the theory of elasticity and finite element analysis of the Griffith flaw in the micro scale. The strain intensity at the tip of the critical flaw is used as the main criterion for defining the limit state of fracture in glass. A simple and robust relationship between the maximum principal stress and the uniaxial stress to cause failure of the same glass specimen has been developed. The relationship has been used for evaluating the strength values of both new and old annealed glass panels. The characteristic strength values determined in accordance with the test results based on 5% of exceedance are compared with provisions in the ASTM standard.

The Numerical Analysis of Pillar Stability with Multiple, Irregular Openings (다수의 불규칙 공동을 갖는 광주의 안정성에 관한 수치해석)

  • Min, Hyung-Ki;Lim, Han-Uk
    • Journal of Industrial Technology
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    • v.24 no.A
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    • pp.139-155
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    • 2004
  • A room and pillar mining method has been adopting at the Jeungsun limestone mine. To check stability of pillar with multiple and irregular openings, the size, shape and spacing of rib pillar were first designed using some empirical suggestions. The Finite Difference Method(FDM)was used to analyze the pillar stability. Twelve different cases with the variation of K(horizontal/vertical stress)values, different height and different spacing of pillar were used in this study. Finally Mohr-Coulomb criterion was adopted to calculate the safety factors. Horizontal and vertical displacement, maximum and minimum principal stresses, range of plastic zone and safety factors were calculated at each case. As a result of analysis, the size of one block is 160m long, 70m wide, 40m high with 20m wide rib pillar and 20m square column pillar. The overall recovery at this case can be estimated about 40%.

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Elastic-Plastic Finite Element Analysis of TiN Thin Film (TiN 박막의 탄소성 유한요소해석)

  • 김정실;김석삼
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.331-340
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    • 2001
  • Elastic-Plasitc Finite element analysis is peformed about the TiN coated medium. The normal contact is simulated by a rigid asperity pressing the surface of an elastic-plastic half-surface. The case of a surface film stiffer than the substrate is considered, and general solutions for the subsurface stress and deformation fields are presented for several coating thickness. Additionally, the critical normal loads for deformation in the substrate and coating fracture are calculated when the yield of TiN film follows the Maximum Principal Stress Theory and Von Mises Theory. The results can be subsumed in failure maps for TiN thin film on steel.

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Earthquake stresses and effective damping in concrete gravity dams

  • Akpinar, Ugur;Binici, Baris;Arici, Yalin
    • Earthquakes and Structures
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    • v.6 no.3
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    • pp.251-266
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    • 2014
  • Dynamic analyses for a suite of ground of motions were conducted on concrete gravity dam sections to examine the earthquake induced stresses and effective damping. For this purpose, frequency domain methods that rigorously incorporate dam-reservoir-foundation interaction and time domain methods with approximate hydrodynamic foundation interaction effects were employed. The maximum principal tensile stresses and their distribution at the dam base, which are important parameters for concrete dam design, were obtained using the frequency domain approach. Prediction equations were proposed for these stresses and their distribution at the dam base. Comparisons of the stress results obtained using frequency and time domain methods revealed that the dam height and ratio of modulus of elasticity of foundation rock to concrete are significant parameters that may influence earthquake induced stresses. A new effective damping prediction equation was proposed in order to estimate earthquake stresses accurately with the approximate time domain approach.

Hertzian 이동하중을 받는 피복된 재료의 탄소성 거동에 관한 유한요소해석

  • 김영종;조용주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04a
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    • pp.596-602
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    • 1995
  • In this paper, the rolling-sliding contact problem of a layered semi-infinite solid compressed by a rigid surface is solved by finite element method based on the elasto-plastic theory. The purpose of this paper is to present the standard that is needed the later design. For this analysis, the principal parameters are layer thickness. Young's modulus ratio of layer and substrate and friction coefficient. In particular, this paper is interested in effect that layer thickness have influence upon displacement and shear and tensile stress at interface. For the layered material, the layer and the substrate behave elastic and linear-strain hardening respectively. For law friction, a relatively thin layer reduce the undesired maximum tensial stress but, for high friction, act contrary to the case of low friction.

Characteristics of Middle Slab Stresses in Double-Deck Tunnel During Maintenance (복층터널 중간슬래브 유지관리에 따른 응력분포 특성 분석)

  • Cho, Young Kyo;Lee, Young Hoon;Park, Beom Keun;Kim, Seong-Min
    • International Journal of Highway Engineering
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    • v.19 no.6
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    • pp.47-56
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    • 2017
  • PURPOSES : The purpose of this study is to investigate the stresses of the middle slab in a double-deck tunnel owing to the slab lift to replace the underlying elastic pads during maintenance work. METHODS : The middle slab was divided into three different sections: typical section, expansion joint section, and emergency passageway section. Finite element analysis models of these three sections of middle slab were developed, and the stress distribution and maximum stresses were obtained using the models when the middle slab was lifted to replace the underlying elastic pads. Various slab lifting methods were examined in this study such as one-, two-, and multiple-point lifts, distributed lifts, and one or both slab side edge lifts. RESULTS : When the slab side edge is lifted, the longitudinal stresses of the slab are almost the same as the principal stresses. This implies that the governing stresses are the longitudinal stresses. The maximum stresses with both-edge lifts are generally smaller than those with one-edge lifts at all three sections of middle slab. CONCLUSIONS : If the middle slab in a double-deck tunnel is lifted for maintenance, the slab should be lifted at multiple points along the longitudinal direction to reduce the tensile stresses.

Behavior of Initiation and Propagation of Fatigue Cracks around Microholes (미소원공주위의 피로크랙발생전파 거동에 관한 연구)

  • 송삼홍;오환석
    • Journal of Ocean Engineering and Technology
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    • v.1 no.2
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    • pp.74-82
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    • 1987
  • This study has been made to investigate into the behavior of fatigue limit, of fatigue crack initiation, and of fatigue crack propagation under the condition of rotating bending stress; specifically on the independency of stress field as well as the crack behavior of surface micro hole defect, which is made artificially through the specimen. The results obtained can be summarized as followa; 1) For the single micro hole defect, initiation of fatigue crack is occurred at both tips of microhole defect simultaneosly along the slip which are produced in the range of maximum principal stress arround micro hole defect independent of the size of micro hole defect. 2) For the neighbored deuble micro hole defects with equal size, in the range ($\frac{L}{r}$)ratio $\gtrsim$ 3 defined as the size of micro hole defect(2r) to the distance between the centers of micro hole defects (2L), the crack behavior of the micro hole defects is same as single one. However, for the range of $\frac{L}{r}$<3, the interference effect becomes significant as the ratio approaches to 1.

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