• 제목/요약/키워드: Von-mises Equivalent

검색결과 83건 처리시간 0.021초

인장강성 효과를 고려한 RC 쉘의 재료비선형 해석 (Material Nonlinear Analysis of the RC Shells Considering Tension Stiffening Effects)

  • 진치섭;엄장섭
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.99-107
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    • 1993
  • 본 논문에서는 콘크리트 균열 사이의 인장강성 효과를 고려한 임의의 기하하적 형상을 갖는 철근 콘크리트 쉘을 해석하기 위하여 재료비선형 유한요소 프로그램을 작성하였다. 본 논문은 연속적인 컴퓨터 해석으로 탄성, 비탄성 및 극한 범위에서의 철근과 콘크리트의 응력은 물론, 하중-변위 응답과 균열전파를 추적할 수 있었다. 골재억물림과 철근의 다울작용을 포함하는 유효전단계수를 평가하기 위하여 균열상태의 전단유지계수를 도입하였다. 콘크리트는 인장에서는 취성으로 압축에서는 탄소성으로 가정하였다. 콘크리트의 소성거동은 Drucker-Prager 항복기준과 결합유동법칙에 따르는 것으로 가정하였다. 철근은 Von Mises 항복기준으로 가정하였으며 등가의 두께를 가지는 철근층으로 모델화 하였다. 수치해석을 위하여는 증분형접선강성도 방법을 사용하였다. 수치예제를 제시하여 본 연구결과를 Hedgren의 실험 결과와 Lin의 수치해석과 비교하였다.

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형상불완전을 갖는 철근 콘크리트 축대칭 쉘의 동적 특성 (Dynamic Characteristics of Reinforced concrete axisymmetric shell with shape imperfection)

  • 조진구
    • 한국농공학회지
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    • 제42권5호
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    • pp.151-159
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    • 2000
  • Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

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플라스틱 IC 패키지 접합부의 수명예측 및 품질향상에 관한 연구 (A Study on the Life Prediction and Quality Improvement of Joint in IC Package)

  • 신영의;김종민
    • Journal of Welding and Joining
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    • 제17권1호
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    • pp.124-132
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    • 1999
  • Thermal fatigue strength of the solder joints is the most critical issue for TSOP(Thin Small Outline Package) because the leads of this package are extremely short and thermal deformation cannot be absorbed by the deflection of the lead. And the TSOP body can be subject to early fatigue failures in thermal cycle environments. This paper was discussed distribution of thermal stresses at near the joint between silicon chip and die pad and investigated their reliability of solder joints of TSOP with 42 alloy clad lead frame on printed circuit board through FEM and 3 different thermal cycling tests. It has been found that the stress concentration around the encapsulated edge structure for internal crack between the silicon chip and Cu alloy die pad. And using 42 alloy clad, The reliability of TSOP body was improved. In case of using 42 alloy clad die pad(t=0.03mm). $$\sigma$_{VMmax}$ is 69Mpa. It is showed that 15% improvement of the strength in the TSOP body in comparison with using Cu alloy die pad $($\sigma$_{VMmax}$=81MPa). In solder joint of TSOP, the maximum equivalent plastic strain and Von Mises stress concentrate on the heel of solder fillet and crack was initiated in it's region and propagated through the interface between lead and solder. Finally, the modified Manson-Coffin equation and relationship of the ratio of $N_{f}$ to nest(η) and cumulative fracture probability(f) with respect to the deviations of the 50% fracture probability life $(N_{f 50%})$ were achieved.

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Multi-dimensional wind vibration coefficients under suction for ultra-large cooling towers considering ventilation rates of louvers

  • Ke, S.T.;Du, L.Y.;Ge, Y.J.;Tamura, Y.
    • Structural Engineering and Mechanics
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    • 제66권2호
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    • pp.273-283
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    • 2018
  • Currently, the dynamic amplification effect of suction is described using the wind vibration coefficient (WVC) of external loads. In other words, it is proposed that the fluctuating characteristics of suction are equivalent to external loads. This is, however, not generally valid. Meanwhile, the effects of the ventilation rate of louver on suction and its WV are considered. To systematically analyze the effects of the ventilation rate of louver on the multi-dimensional WVC of ultra-large cooling towers under suctions, the 210 m ultra-large cooling tower under construction was studied. First, simultaneous rigid pressure measurement wind tunnel tests were executed to obtain the time history of fluctuating wind loads on the external surface and the internal surface of the cooling tower at different ventilation rates (0%, 15%, 30%, and 100%). Based on that, the average values and distributions of fluctuating wind pressures on external and internal surfaces were obtained and compared with each other; a tower/pillar/circular foundation integrated simulation model was developed using the finite element method and complete transient time domain dynamics of external loads and four different suctions of this cooling tower were calculated. Moreover, 1D, 2D, and 3D distributions of WVCs under external loads and suctions at different ventilation rates were obtained and compared with each other. The WVCs of the cooling tower corresponding to four typical response targets (i.e., radial displacement, meridional force, Von Mises stress, and circumferential bending moment) were discussed. Value determination and 2D evaluation of the WVCs of external loads and suctions of this large cooling tower at different ventilation rates were proposed. This study provides references to precise prediction and value determination of WVC of ultra-large cooling towers.

SPR 접합법을 이용한 Al-5052 인장-전단 시험편의 피로강도 (Fatigue Strength of Al-5052 Tensile-Shear Specimens using a SPR Joining Method)

  • 이만석;김택영;강세형;김호경
    • 한국안전학회지
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    • 제29권4호
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    • pp.9-14
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    • 2014
  • Self-piercing riveting(SPR) is a mechanical fastening technique which is put pressure on the rivet for joining the sheets. Unlike a spot welding, SPR joining does not make the harmful gas and $CO_2$ and needs less energy consumption. In this study, static and fatigue tests were conducted using tensile-shear specimens with Al-5052 plates for evaluation of fatigue strength of the SPR joints. During SPR joining process for the specimen, using the current sheet thickness and a rivet, the optimal applied punching force was found to be 21 kN. And, the maximum static strength of the specimen produced at the optimal punching force was 3430 N. During the fatigue tests for the specimens, interface failure mode occurred on the top substrate close to the rivet head in the most high-loading range region, but on the bottom substrate close to the rivet tail in the low -loading range region. There was a relationship between applied load amplitude $P_{amp}$ and lifetime of cycle N for the tensile-shear, $P_{amp}=3395.5{\times}N^{-0.078}$. Using the stress-strain curve of the Al-5052 from tensile test, the simulations for fatigue specimens have been carried out using the implicit finite element code ABAQUS. The relation between von-Mises equivalent stress amplitude and number of cycles was found to be ${\sigma}_{eq}=514.7{\times}N^{-0.033}$.

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

  • 한근조;김영호
    • 대한의용생체공학회:의공학회지
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    • 제19권2호
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    • pp.183-188
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    • 1998
  • 동맥과 PTFE 재료로 된 대체혈관이 혈관폐색이 생긴 부위를 우회하기 위하여 단측문합이 되었을 때 문합각의 변화에 의한 영향을 살펴보기 위하여 두 혈관의 직경비를 0.5로 고정하고 문합각을 30$^{\circ}$에서 90$^{\circ}$까지 $10^{\circ}$간격으로 변화시켜 컴플라이언스와 응력의 분포형태를 살펴보고 또한 직경비의 영향도 살펴보기 위하여 문합각을 45$^{\circ}$로 고정하고 직경비를 0.1에서 1까지 0.1간격으로 변화시켜 컴플라이언스와 응력의 변화를 살펴보았다. 단측문합비에 사용된 모델은 20-24mm, 내경 4mm, 두께 0.5mm의 동맥과 길이 10mm, 내경 2mm, 두께 0.2mm의 PTFE 대체혈관이 사용되었으며 문합각이 작아지거나 직경비가 커질수록 예각 문합부의 컴플라이언스가 점점 더 커진다는 것을 알았다.

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쇄빙연구선 ARAON호의 국부 빙하중 추정을 위한 영향계수행렬의 보완 (Enhanced Influence Coefficient Matrix for Estimation of Local Ice Load on the IBRV ARAON)

  • 조성록;최경식;손범식;정성엽;하정석
    • 대한조선학회논문집
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    • 제58권5호
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    • pp.330-338
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    • 2021
  • This paper focuses on the improvement of the influence coefficient matrix method for estimation of local ice load on the icebreaking research vessel ARAON. The influence coefficient matrix relates ice pressure on the hull plate to the measured/calculated hull strain/stress. Conventionally von Mises equivalent stresses representing hull stresses and ice pressure acting on the hull plate are utilized to assemble the influence coefficient matrix. Because of the three dimensional features of the ship-ice collision process, an enhanced method to assemble the influence coefficient matrix is derived considering ice loads in the X, Y, and Z direction simultaneously. Furthermore the location of ice loads acting on hull-plate may fall outside the measuring sensor area, and the enhanced influence coefficient matrix is modified to reduce the difference between the actual and the estimated ice loads by expanding the domain outward from the sensor area. The developed method for enhanced influence coefficient matrix is applied to IBRV ARAON during the 2019 Antarctic ice field test and the local ice loads in three directions are efficiently calculated compared to those by a conventional method.

유한요소해석에 의한 코팅면의 브리넬 경도 평가: 제3보 - 다층 코팅에 적용 (Evaluation of Brinell Hardness of Coated Surface Using Finite Element Analysis: Part 3 - Application to Multilayer Coatings)

  • 박태조;강정국
    • Tribology and Lubricants
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    • 제37권6호
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    • pp.240-245
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    • 2021
  • Ceramic coatings with high hardness and excellent chemical stability have been successfully applied to various machine elements, tools, and implants. However, in the case of monolayer coating on soft substrates, a high-stress concentration at the interface between the coating and the substrate causes delamination of the coating layer. Recently, to overcome this problem, multilayer coatings with a metal layer with a low modulus of elasticity added between the ceramic and the substrate have been widely applied. This study presents the third part of a recent study and focuses on the effect of the number of coating layers on the Brinell hardness of multilayered coating with TiN/Ti, following the two previous studies on a new Brinell hardness test method for a coated surface and on the influence of substrate and coating thickness. Indentation analyses are performed using finite element analysis software, von Mises stress and equivalent plastic strain distributions, load-displacement curves, and residual indentation shapes are presented. The number of TiN/Ti layers considerably affect the stress distributions and indentation shapes. Moreover, the greater the number of TiN/Ti layers, the higher is the Brinell hardness. The stress and plastic strain distributions confirm that the multilayer coatings improve the wear resistance. The results are expected to be used to design and evaluate various coating systems, and additional study is required.

기하 및 재료비선형을 갖는 적층평판의 p-Version 유한요소해석 (p-Version Finite Element Analysis of Composite Laminated Plates with Geometric and Material Nonlinearities)

  • 홍종현;박진환;우광성
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.491-499
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    • 2002
  • 직교이방성 적층평판해석을 위해 퇴화 쉘요소에 기초를 둔 p-version 유한요소법이 제안되었다. 이 모델의 비선형 정식화과정에서 기하비선형의 경우 von Karman의 대변형-소변형률 가정을 설명하기 위해 Total Lagrangian 방법이 채택되었으며, 재료비선형의 경우 Huber-Mises의 항복기준과 변형률경화 항복함수에 근거를 둔 Prandtl-Reuss 유동법칙이 사용되었다. 재료모델은 이방성을 표현하는 매개변수에 의해 이방겅재료를 고려할 수 있도록 하였다. 적층평판이론으로는 전단변형 효과를 고려할 수 있는 등가단출이론(ESL Theory)에 기초를 두었기 때문에 두 적층간 계면에서의 전단변형률은 연속이라는 조건을 갖게된다 적분형 르장드르 다항식이 형상함수로 사용되었으며 형상함수의 차수는 1차에서 10차까지 변화시킬 수 있다. 또한, Causs-Lobatto 수치적될법을 사용하기 때문에 기존의 가우스 적분점에서 계산되던 응력값은 이 적분법의 적분점이 절점에 위치하므로 절점에서 바로 응력값이 산출되도록 하였다 극한하중 수렴성, 비선형 효과, 소성역의 형상 등의 비교관점을 통해 p-version 유한요소 모델의 적정성을 보이고자 하였다.

3차원 유한요소법에 의한 임플란트 지지 3본 고정성 가공 의치의 부적합도가 인접골 응력에 미치는 영향 분석 (Finite Element Analysis of Bone Stress Caused by Horizontal Misfit of Implant Supported Three-Unit Fixed Prosthodontics)

  • 이승환;조광헌
    • 구강회복응용과학지
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    • 제28권2호
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    • pp.147-161
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    • 2012
  • 본 연구에서는 유한요소해석 방법을 사용하여 임플란트 지지 3본 고정성 가공 의치에 수평적인 부적합이 존재할 때 그 정도가 임플란트 인접골 응력 발생에 미치는 영향에 대해 조사하였다. 3본 고정성 가공의치, 임플란트/악골 복합체로 구성된 해석 모델은 3차원으로 연구되었다. 3본 고정성 가공의치의 체결 간격은 하악 제2 소구치와 제2 대구치에 17.9mm 거리로 식립된 임플란트 간격에 비해 0.1mm 짧거나(17.8mm), 0.1mm 길게(18.0mm) 모델링하였다. 3본 고정성 가공의치와 임플란트 지대주 간의 체결은 총 6단계로 모사되었고 각 단계별로 가공의치가 하방으로 0.1mm 씩 변위되었다. 유한요소해석에는 PC용으로 출시된 DEFORM$^{TM}$ 3D 프로그램(ver 6.1, SFTC, Columbus, OH, USA)을 사용하였다. 3본 고정성 가공의치와 임플란트 사이의 응력은 von-Mises 응력, 최대 압축 응력, 필요한 경우 방사상 응력을 평가하였다. d=18.0mm인 모델에서는 가공의치와 지대주간의 체결이 이루어지지 않은 반면, d=17.8mm 인 모델에서는 성공적으로 체결이 가능했다. 체결 여부를 떠나 과도하게 높은 응력이 체결과정과 그 이후에 발생되었는데, 17.8mm 모델의 경우 체결완료 후에도 임플란트 주위 변연골에서 잔류하는 인장 및 압축 응력이 각각 최대 186.9MPa과 114.1MPa이었다. 이 경우 임플란트로부터 2mm 떨어진 부분까지 압축 응력이 골개조 장애 임계 응력인 55MPa($4,000{\mu}{\varepsilon}$과 같은 크기)보다 크게 측정되었다. 3본 고정성 가공의치의 0.1mm 크기의 수평적 부적합은 체결 과정뿐만 아니라 완료 후에도 인접 변연골에 높은 응력을 발생시킬 수 있다.