• 제목/요약/키워드: Ramberg-Osgood relation

검색결과 9건 처리시간 0.028초

원자력 배관의 파단전누설 해석을 위한 개선된 참조응력법의 수치해석적 검증 (Application of enhanced Reference Stress Method to Nuclear Piping LBB Analysis : Finite Element Validation)

  • 허남수;김윤재;김영진
    • 대한기계학회논문집A
    • /
    • 제25권4호
    • /
    • pp.741-747
    • /
    • 2001
  • Three-dimensional, elastic-plastic finite element analyses for circumferential through-wall cracked pipes are performed using actual tensile data of stainless steels, for two purposes. The first one is to validate the recently-proposed enhanced reference stress (ERS) method to estimate the J-integral and COD for circumferential through-wall cracked pipes. The second one is to compare those results with the GE/EPRI estimations. It is found that the J-integral and COD estimations according to the GE/EPRI method can be very sensitive to how the stress-strain data are fitted using the Ramberg-Osgood relation. Moreover, no tendency can be found regarding the most appropriate fitting range for the Ramberg-Osgood fit. On the contrary, the J-integral and COD estimations based on the ERS method give more accurate results than the GE/EPRI estimation. The present results provide confidence in applying the proposed method to the Leak-Before-Break(LBB) analysis.

단위 모듈러 구조체의 보-기둥 접합부 해석 모델 (Analytical Models of Beam-Column joints in a Unit Modular Frame)

  • 최경석;김형준
    • 한국전산구조공학회논문집
    • /
    • 제27권6호
    • /
    • pp.663-672
    • /
    • 2014
  • 최근, 모듈러 구조 시스템은 공기를 단축시킬 수 있는 장점으로 인해 건설 현장에 적용되고 있다. 모듈러 구조시스템은 단위 모듈로 구성되며, 모듈과 모듈의 볼트접합을 위해 보-기둥 접합부에 개구부를 가공하게 된다. 일반적으로 모듈러 구조시스템은 기존 철골모멘트골조와 유사한 하중전달체계를 가지는 것으로 가정하여 설계된다. 이와 같은 설계 가정의 타당성을 확보하기 위해, 단위 모듈의 보-기둥 접합부에 대한 회전 성능이 파악되어야 한다. 본 연구에서는 개구부의 구조적 영향이 고려된 접합부의 회전성능을 파악하기 위해 유한요소해석을 수행하였다. 해석결과 단위모듈은 충분한 변형능력을 가지고 안정적인 이력거동을 하는 것으로 나타났으며, 단위모듈의 접합부는 부분강접 접합부로 분류되었다. 또한 본 연구에서는 단위 모듈의 비선형 골조 해석을 위한 간단한 스프링 모델을 개발하였으며, 단위 모듈의 비선형 이력 거동을 구현하기 위해 Ramberg-Osgood 이력 모델을 제시하였다.

잔류응력을 고려한 국부변형률과 공칭응력 기준 피로수명 평가 (Fatigue Life Evaluation by ${\sigma}-N$ and ${\epsilon}-N$ Approaches Considering Residual Stresses)

  • 구병춘;양승용;서정원;정흥채
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 추계학술대회
    • /
    • pp.342-347
    • /
    • 2004
  • To evaluate the fatigue lives of welded joints taking into residual stress relaxation, two approaches are applied. One is based on the conventional local strain analyses. The other is based on a model developed by the authors. In the first approach, the Ramberg-Osgood relation, Lawrence model and S.W.T. parameter are used. In the second approach, The S-N curve for a welded joint is deduced from that of the parent material. Residual stress relaxation obtained by finite element analysis is considered. Finally, we evaluate the fatigue lives for four weld details using the two approaches.

  • PDF

平面應力狀態 에서 균열先端 의 小規模降伏 에 관한 有限要素解析 (Finite Element Analysis on the Small Scale Yielding of a Crack Tip in Plane Stress)

  • 임장근;맹주성;김병용
    • 대한기계학회논문집
    • /
    • 제7권3호
    • /
    • pp.270-277
    • /
    • 1983
  • Plastic plane stress solutions are given for a center cracked strip, characterized by the Ramberg-Osgood plastic index, under bi-axial tension. Using a power law hardening stress-strain relation, an incremental plasticity finite element formulation is developed, and simple formulation is given for computing J-integral with nodal displacements. The near tip angular distribution of von Mises effective stress doesn't differ significantly in magnitude according to the change of loading stress and bi-axial load combination factor. But, for smaller plastic index, the location of its maximum value moves vertically at a head of crack. J-integral value, in the plastic zone near crack tip, decreases with load combination factor for large and small plastic index.

Wire-woven Bulk Kagome 의 파손 메커니즘 분석 (Analysis of Failure Mechanism for Wire-woven Bulk Kaogme)

  • 이병곤;최지은;강기주;전인수
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2007년도 춘계학술대회A
    • /
    • pp.1690-1695
    • /
    • 2007
  • Lightweight metallic truss structures with open, periodic cell are currently being investigated because of their multi-functionality such as thermal management and load bearing. The Kagome truss PCM has been proved that it has higher resistance to plastic buckling, more plastic deformation energy and lower anisotropy than other truss PCMs. The subject of this paper is an examination of the failure mechanism of Wire woven Bulk Kagome(WBK). To address this issue, the out-of-plane compressive responses of the WBK has been measured and compared with theoretical and finite element (FE) predictions. For the experiment, 2 multi-layered WBK are fabricated and 3 specimens are prepared. For the theoretical analysis, the brazed joints of each wire in WBK are modeled as the pin-joint. Then, the peak stress of compressive behavior and elastic modulus are calculated based on the equilibrium equation and energy method. The mechanical structure with five by five cells on the plane are constructed is modeled using the commercial code, PATRAN 2005. and the analysis is achieved by the commercial FE code ABAQUS version 6.5 under the incremental theory of plasticity.

  • PDF

Wire-woven Bulk Kagome의 압축 특성 분석 (Analysis of Compressive Characteristics of Wire-woven Bulk Kagome)

  • 이병곤;최지은;강기주;전인수
    • 대한기계학회논문집A
    • /
    • 제32권1호
    • /
    • pp.70-76
    • /
    • 2008
  • Periodic cellular metals (PCMs) are actively being investigated because of their excellent specific strength and stiffness, and multi-functionality such as a heat disperse structure bearing external loading. The Kagome truss PCM has been proved that it has higher resistance to plastic buckling and lower anisotropy than other truss PCMs. In this paper, the out-of-plane compressive responses of the WBK specimens have been measured, theoretically predicted and numerically analyzed. Three specimens of two-layered WBK are fabricated and tested for measuring the responses. The peak stress of compressive behavior and effective elastic modulus are predicted based on the equilibrium equation and elastic energy conservation. Moreover, the structure of the specimen is modeled using the commercial mesh generation code, PATRAN and the finite element analysis for the model under the compression is carried out using the commercial FE code, ABAQUS. Finally, the obtained results are compared with each other to analyze the compressive characteristics of Wire-woven Bulk Kagome (WBK).

Semi-rigid connection modeling for steel frameworks

  • Liu, Yuxin
    • Structural Engineering and Mechanics
    • /
    • 제35권4호
    • /
    • pp.431-457
    • /
    • 2010
  • This article provides a discussion of the mathematic modeling of connections for designing and qualifying structures, systems, and components subject to monotonic or cyclic loading. To characterize the force-deformation behavior of connections under monotonic loading, a review of the Ramberg-Osgood, Richard-Abbott, and Menegotto-Pinto models is conducted, and it is shown that these nonlinear functions can be mathematically derived by scaling up or down a linear force-deformation function. A generalized four-parameter model for simulating connection behavior is investigated to facilitate nonlinear regression analysis. In order to perform seismic analysis of frameworks, a hysteretic model accounting for loading, unloading, and reloading is described using the established monotonic model. For preliminary analysis, a method is provided to quickly determine the model parameters that fit approximately with the observed data. To reach more accurate values of the parameters, the methods of nonlinear regression analysis are investigated and the modified Levenberg-Marquardt and separable nonlinear least-square algorithms are applied in determining the model parameters. Example case studies illustrate the procedure for the computation through the use of experimental/analytical data taken form the literature. Transformation of connection curves from the three-parameter model to the four-parameter model for structural analysis is conducted based on the modeling of connections subject to fire.

Longitudinal cracks in non-linear elastic beams exhibiting material inhomogeneity

  • Rizov, Victor I.
    • Structural Engineering and Mechanics
    • /
    • 제71권2호
    • /
    • pp.153-163
    • /
    • 2019
  • Longitudinal fracture behavior of non-linear elastic beam configurations is studied in terms of the strain energy release rate. It is assumed that the beams exhibit continuous material inhomogeneity along the width as well as along the height of the crosssection. The Ramberg-Osgood stress-strain relation is used for describing the non-linear mechanical behavior of the inhomogeneous material. A solution to strain energy release rate is derived that holds for inhomogeneous beams of arbitrary cross-section under combination of axial force and bending moments. Besides, the solution may be applied at any law of continuous distribution of the modulus of elasticity in the beam cross-section. The longitudinal crack may be located arbitrary along the beam height. The solution is used to investigate a longitudinal crack in a beam configuration of rectangular cross-section under four-point bending. The crack is located symmetrically with respect to the beam mid-span. It is assumed that the modulus of elasticity varies continuously according a cosine law in the beam cross-section. The longitudinal fracture behavior of the inhomogeneous beam is studied also by applying the J-integral approach for verification of the non-linear solution to the strain energy release rate derived in the present paper. Effects of material inhomogeneity, crack location along the beam height and non-linear mechanical behavior of the material on the longitudinal fracture behavior are evaluated. Thus, the solution derived in the present paper can be used in engineering design of inhomogeneous non-linear elastic structural members to assess the influence of various material and geometrical parameters on longitudinal fracture.

금속재료 응력-변형률 곡선의 수학적 표현들 (Mathematical Expressions for Stress-Strain Curve of Metallic Material)

  • 현홍철;이진행;이형일
    • 대한기계학회논문집A
    • /
    • 제32권1호
    • /
    • pp.21-28
    • /
    • 2008
  • 본 연구에서는 인장과 압축실험 데이터를 사용하여 재료의 응력-변형률 곡선을 얻었다. 시편에 네킹 현상이 발생하기 전에는 인장실험의 결과를 토대로 각 재료의 영률값과 항복강도를 찾았다. 이후 비선형 거동은 압축실험의 데이터를 이용해 나타냈다. 이렇게 얻어진 재료의 실제응력-변형률 곡선을 구간 멱함수법을 사용해 변형률 구간별로 회귀하였다. 회귀하여 구한 곡선과 실제 재료의 응력-변형률 곡선을 비교해 최적 회귀방법과 상응하는 변형률 회귀구간을 찾았다. 하나와 두 변수에 의한 회귀를 혼용하면 가장 적절한 회귀 방법이 얻어진다. 우선 두 변수들로 회귀하여 항복강도를 찾는다. 뤼더변형률이 없는 재료의 항복강도를 예측에는 초기구간 데이터만을 이용해야 오차를 최소화 할 수 있다. 한편 뤼더변형률이 재료들은 곡선의 후반부 데이터를 사용해야 정확한 물성치를 찾아낼 수 있다. 이어 항복 강도가 구해진 상황에서 응력-변형률 곡선의 전체 데이터를 사용해, n을 단일변수로 하여 회귀한다. 여기서 얻은 항복강도와 n을 이용하면 실제 실험 응력-변형률 곡선을 가장 유사하게 따라가는 회귀곡선을 얻을 수 있다.