• 제목/요약/키워드: Residual stress and plastic strain

검색결과 112건 처리시간 0.024초

Finite element modelling and design of partially encased composite columns

  • Chicoine, Thierry;Tremblay, Robert;Massicotte, Bruno
    • Steel and Composite Structures
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    • 제2권3호
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    • pp.171-194
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    • 2002
  • In this paper, the behaviour of axially loaded partially encased composite columns made with light welded H steel shapes is examined using ABAQUS finite element modelling. The results of the numerical simulations are compared to the response observed in previous experimental studies on that column system. The steel shape of the specimens has transverse links attached to the flanges to improve its local buckling capacity and concrete is poured between the flanges only. The test specimens included 14 stubcolumns with a square cross section ranging from 300 mm to 600 mm in depth. The transverse link spacing varied from 0.5 to 1 times the depth and the width-to-thickness ratio of the flanges ranged from 23 to 35. The numerical model accounted for nonlinear stress-strain behaviour of materials, residual stresses in the steel shape, initial local imperfections of the flanges, and allowed for large rotations in the solution. A Riks displacement controlled strategy was used to carry out the analysis. Plastic analyses on the composite models reproduced accurately the capacity of the specimens, the failure mode, the axial strain at peak load, the transverse stresses in the web, and the axial stresses in the transverse links. The influence of applying a typical construction loading sequence could also be reproduced numerically. A design equation is proposed to determine the axial capacity of this type of column.

DSC를 이용한 토목섬유가 포함된 경계면의 변형율 연화 모델 개발 (Development of Strain-softening Model for Geosynthetic-involved Interface Using Disturbed State Concept)

  • Woo, Seo-Min;Park, Jun-Boum;Park, Inn-Joon
    • 한국지반공학회논문집
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    • 제19권5호
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    • pp.223-232
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    • 2003
  • 본 연구에서는 DSC를 이용한 구성방정식을 이용하여 토목섬유 사이의 접촉전단 응력과 변위와의 관계를 모델링하였다. DSC 모델은 두 개의 기준 상태, 즉 상대적으로 손상되지 않은 RI 상태와 완전히 파괴된 FA 상태와 한가지의 교란 함수로 구성된다. 본 모델은 통합된 모델로서, RI 상태를 탄성-완전 소성 모델, 계층적 단일 항복곡면 (HiSS) 모델 등 다양한 모델을 이용하여 모사할 수 있다. 한편 본 모델은 탄성과 소성 변위를 동시에 고려할 수 있다는 장점을 가지고 있다. 4가지의 대형 직접전단 시험으로부터 측정된 자료와 측정자료로부터 도출된 모델 변수를 이용하여 재해석한 결과를 서로 비교하여, 둘 사이의 비교 결과가 상당히 일치함을 발견하였으며, 특히 표면이 매끄러운 지오멤브레인의 접촉면에서는 매우 상관관계를 보였다. 비록 표면이 거친 지오멤브레인이 포함된 접촉면에서는 예측 최대 전단강도가 실험결과와 약간의 차이를 보이기는 하였지만, 전체적으로 본 모델이 최대 전단응력이 나타나는 변위점과 대변형에서의 전단강도를 상당히 정확히 예측하였으며, 이를 통해 본 모델이 변형율 연화 현상을 보이는 접촉면 전단거동의 모델링에 유용함을 확인하였다.

Analytical Solutions for the Inelastic Lateral-Torsional Buckling of I-Beams Under Pure Bending via Plate-Beam Theory

  • Zhang, Wenfu;Gardner, Leroy;Wadee, M. Ahmer;Zhang, Minghao
    • 국제강구조저널
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    • 제18권4호
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    • pp.1440-1463
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    • 2018
  • The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

기판 Etching 기법을 이용한 DLC 필름의 탄성특성 평가 (Evaluation of Elastic Properties of DLC Films Using Substrate Etching Techniques)

  • 조성진;이광렬;은광용;한준희;고대홍
    • 한국세라믹학회지
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    • 제35권8호
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    • pp.813-818
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    • 1998
  • A simple method to measure the elastic modulus E and Poisson's ratio v of diamod-like carbon (DLC) films deposited on Si wafer was suggested. Using the anisotropic etching technique of Si we could make the edge of DLC overhang free from constraint of Si substrate. DLC film is chemically so inert that we could not on-serve any surface damage after the etching process. The edge of DLC overhang free from constraint of Si substrate exhibited periodic sinusoidal shape. By measuring the amplitude and the wavelength of the sinu-soidal edge we could determine the stain of the film required to adhere to the substrate. Since the residual stress of film can be determine independently by measurement of the curvature of film-substrate com-posite we could calculated the biaxial elastic modulus E/(1-v) using stress-strain relation of thin films. By comparing the biaxial elastic modulus with the plane-strain modulus E/(1-{{{{ { v}^{2 } }}) measured by nano-in-dentation we could further determine the elastic modulus and Poisson's ratio independently. This method was employed to measure the mechanical properties of DLC films deposited by {{{{ { {C }_{6 }H }_{6 } }} rf glow discharge. The was elastic modulus E increased from 94 to 169 GPa as the {{{{ { V}_{ b} / SQRT { P} }} increased from 127 to 221 V/{{{{ {mTorr }^{1/2 } }} Poisson's ratio was estimated to be abou 0.16∼0.22 in this {{{{ { V}_{ b} / SQRT { P} }} range. For the {{{{ { V}_{ b} / SQRT { P} }} less than 127V/{{{{ {mTorr }^{1/2 } }} where the plastic deformation can occur by the substrate etching process however the present method could not be applied.

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해수 환경에서 듀플렉스 스테인리스강의 전기화학적 거동 및 캐비테이션 특성 (Electrochemical and Cavitation-Erosion Characteristics of Duplex Stainless Steels in Seawater Environment)

  • 허호성;김성종
    • Corrosion Science and Technology
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    • 제20권6호
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    • pp.466-474
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    • 2021
  • A wet type scrubber for merchant vessel uses super austenitic stainless steels with pitting resistance equivalent number (PREN) of 40 or higher for operation in a harsh corrosive environment. However, it is expensive due to a high nickel content. Thus, electrochemical behavior and cavitation erosion characteristics of UNS S32750 as an alternative material were investigated. Microstructure analysis revealed fractions of ferritic and austenitic phases of 48% and 52%, respectively, confirming the existence of ferritic matrix and austenitic island. Potentiodynamic polarization test revealed damage at the interface of the two phases because of galvanic corrosion due to different chemical compositions of ferritic and austenitic phases. After a cavitation test, a compressive residual stress was formed on the material surface due to impact pressure of cavity. Surface hardness was improved by water cavitation peening effect. Hardness value was the highest at 30 ㎛ amplitude. Scanning electron microscopy revealed wave patterns due to plastic deformation caused by impact pressure of the cavity. The depth of surface damage increased with amplitude. Cavitation test revealed larger damage caused by erosion in the ferritic phase due to brittle fracture derived from different strain rate sensitivity index of FCC and BCC structures.

X선 프렉토그래피기법을 이용한 금속복합재료의 피로손상 해석에 관한 연구 (A Study on the Evaluation Technique of Damage of Metal Matrix Composite Using X-Ray Fractography Method)

  • 박영철;윤두표;박동성;김득진;김광영
    • 비파괴검사학회지
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    • 제18권3호
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    • pp.172-180
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    • 1998
  • 본 연구에서는 비파괴방법중 대단히 효과적인 방법이라 할 수 있는 X선 프렉토그래피 방법을 이용하여 파괴역학적 파라메타인 ${\Delta}K$, $K_{max}$의 정량적인 평가의 가능성에 대하여 검토하였다. 이를 위하여 A12009-15v/o $SiC_w$ 복합재료와 SS41 불림재를 이용하여 피로균열진전시험을 실시하고 그 결과로부터 파면상의 X선 프렉토그래피 파라메타와 파면형성시의 파괴역학적 파라메타를 비교 검토하여 X선 프렉토그래피에 의한 ${\Delta}K$$K_{max}$의 평가 방법에 대하여 연구하였다. 또한, 정적하중부하에 의한 소성변형률의 비파괴적 평가법에 대하여도 검토하였다. 이를 위하여 인장시험으로 소성변형을 부하한 후, X선 프렉토그래피 파라메타를 이용하여 부하된 소성변형량의 비파괴평가법에 대하여 검토하였다. 그 결과 피로파괴시의 부하된 $K_{max}$와 피로손상 정도를 X선 프렉토그래피에 의하여 정량적으로 평가할 수 있는 방법을 제시하였다.

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SP 크리프 시험의 유한요소해석을 이용한 재료물성 평가 (Assessment of Material Properties Using Finite Element Analysis for Small Punch Creep Testing)

  • 박태규;마영화;윤기봉;정일석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.511-516
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    • 2001
  • Recently small punch creep testing (or miniature disc bend creep test) has received much attention through European collaborative research projects. This method was considered as a substitute for the conventional creep rupture testing by which the residual creep life is measured from the specimen taken out from serviced components of high temperature plants. It would be beneficial if the material creep properties such as power law creep constants as well as the creep rupture life can be measured from the small punch creep test. In this paper a method of assessing creep constants from the small punch creep testing is proposed. Finite element analyses were performed to investigate evolution of stress and strain rate at the weakest locations of the small punch creep specimen. Elastic-plastic-secondary creep analyses were carried out. The estimation equations for creep constants by the small punch creep testing are proposed based on the finite analysis results. Small punch creep tests were also performed with 9Cr steel and the accuracy of the proposed equation was verified by the experimental results.

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소형펀치 크리프 시험을 이용한 9Cr강의 크리프 상수 평가 (Assessment of Creep Properties of 9Cr Steel Using Small Punch Creep Testing)

  • 윤기봉;박태규;심상훈;정일석
    • 대한기계학회논문집A
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    • 제25권9호
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    • pp.1493-1500
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    • 2001
  • Recently small punch creep testing (or miniature disc bend creep test) has received much attention through European collaborative research projects. This method was considered as a substitute for the conventional creep rupture testing by which the residual creep life is measured from the specimen taken out from serviced components of high temperature plants. It would be beneficial if the material creep properties such as power law creep constants as well as the creep rupture life can be measured from the small punch creep test. In this paper a method of assessing creep constants from the small punch creep testing is proposed. Finite element analyses were performed to investigate evolution of stress and strain rate at the weakest locations of the small punch creep specimen. Elastic-plastic-secondary creep analyses were carried out. The estimation equations for creep constants by the small punch creep testing are proposed based on the finite analysis results. Small punch creep tests were also performed with 9Cr steel and the accuracy of the proposed equation was verified by the experimental results.

Roll bending machine에 의한 선체외판의 곡면가공 해석 (Analysis of Ship Hull Plate Bending By Roll Bending Machine)

  • 김유일;신종계;이장현
    • 대한조선학회논문집
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    • 제33권4호
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    • pp.142-149
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    • 1996
  • 선체 외관을 이루는 판부재 중에서 일차곡만을 가진 부품은 피라미드 형의 롤러 굽힘장치를 이용하여 제작한다. 일차곡 부재를 생산하기 위한 공정에서 가장 중요한 작업 변수는 중앙 롤러의 수직변위값이다. 본 연구에서는 이러한 굽힘 현상을 보의 탄소성 굽힘현상으로 모델링하여 해석해를 구하였으며, 엄밀한 역학적 이해를 위하여 유한요소해석법을 이용하여 굽힘현상을 해석하였다. 해석을 통하여 일정한 굽힘 곡률을 얻기 위한 중앙 롤러의 수직변위 값을 계산하였으며, 유한요소해석법은 보 요소와 평면변형율 요소를 이용하여 모델링하고 각각의 경우에 대한 해석을 수행하였으며 이 결과를 해석해와 비교하였다. 계산을 통하여 판에 가해야 할 굽힘곡률과 중앙롤러의 수직변위 사이의 관계를 도출하였으며 일차곡가공의 중요한 작업변수인 중앙롤러의 수직변위와 잔류곡률상의 관계를 수치 데이터로써 정식화 하였다.

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압축플랜지 비탄성 국부좌굴을 고려한 HSB 플레이트거더의 휨강도 (Flexural Strength of HSB I-Girder Considering Inelastic Flange Local Buckling)

  • 조은영;신동구
    • 대한토목학회논문집
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    • 제33권1호
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    • pp.81-92
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    • 2013
  • HSB를 적용한 플레이트거더의 압축플랜지 국부좌굴을 고려한 극한휨강도를 비선형 유한요소해석으로 분석하였다. 압축플랜지의 비탄성 국부좌굴 또는 소성항복이 휨강도를 지배하는 압축플랜지 세장비를 갖도록 해석대상 강거더를 선정하였다. HSB600 및 HSB800 강재로 제작된 균질단면 강거더와 HSB800 강재와 SM570-TMC 강재를 함께 적용한 하이브리드 단면을 고려하였으며, 일반강재와의 비교를 위하여 SM490-TMC 강거더에 대한 해석도 수행하였다. 비선형 유한요소해석 시에는 플랜지와 복부판을 쉘요소로 강재는 탄소성-변형경화 재료로 모델링하였으며, 초기변형과 단면의 잔류응력을 고려하였다. 비선형 유한요소해석 결과와 기존 문헌의 실험결과를 비교하여 유한요소 해석결과를 검증하였으며, 초기변형과 잔류응력이 극한휨강도에 미치는 영향을 분석하였다. 총 60개 해석대상 강거더의 휨극한강도를 유한요소해석으로 구하고, 도로교설계기준, AASHTO LRFD와 Eurocode 3의 설계규정으로 구한 휨강도와 비교하여 이들 규정의 HSB 강거더에 대한 적용성을 검토하였다.