• 대한기계학회논문집A
• /
• 제24권5호
• /
• pp.1075-1083
• /
• 2000

The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method. The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. These equations consist of the definition of inelastic strain and the evolution of the state variables introduced to quantify the irreversible processes occurred in the material. With respect to the definition of the inelastic strain, the inelastic constitutive models can be categorized into elastoplastic model, unified viscoplastic model and separated viscoplastic model and the different integration methods have been applied to each category. In the present investigation, the generalized integration method applicable for various types of constitutive equations is developed and implemented into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using line-search technique in combination with Newton method. The strategy to control the time increment for the improvement of the accuracy of the numerical integration is proposed. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

• 대한기계학회논문집
• /
• 제14권5호
• /
• pp.1349-1355
• /
• 1990

By examining the fatigue deformation properties of 12% Cr rotor steel which has been proved to have high fatigue and creep rupture strength around 600deg. C, authors reviewed major fatigue life prediction models such as Manson, Langer and Morrow equations, and following results were obtained. (1) A simple life prediction model for 12% Cr rotor steel was obtained as follows : DELTA..epsilon.$_{t}$ =2.18+.sigma.$_{u}$ /E+ $N^{-0.065}$+ $e^{0.6}$ $N^{-0.025}$ This equation shows that fatigue life, N, can be easily determined when total strain range, DELTA..epsilon.$_{t}$ and ultimate tensile strength, .sigma.$_{u}$ are known by simple tension test on the given test conditions. (2) Life prediction equation with equivalent maximum stress, DELTA..sigma./2, corresponding maximum strain in one cycle at room temperature is as follows: DELTA..sigma./w=-7.01logN+96.69+96.69

• 마이크로전자및패키징학회지
• /
• 제25권1호
• /
• pp.17-22
• /
• 2018

본 논문에서는 임베딩 패키지의 솔더 조인트 신뢰성에 미치는 솔더 조인트의 에이징 효과를 유한요소법에 의한 수치해석을 통해 연구하였다. SAC305 솔더 조인트의 에이징 시간은 0, 60, 180 일이 적용되었고 신뢰성 분석을 위해 패키지 휨, ECS(Equivalent Creep Strain) 및 TSED(Total Strain Energy Density)이 분석되었다. 연구결과에 따르면 임베딩 패키지의 휨이 비임베딩 패키지에 비해 감소하여 임베딩 패키지내 솔더 접합부의 신뢰성이 높을 것으로 예측되었다. 또한, 에이징 시간이 길수록 임베디드 패키지의 휨이 감소하지만 솔더 조인트의 신뢰성 수명도 감소할 것으로 분석되었다.

• 에너지공학
• /
• 제13권3호
• /
• pp.181-190
• /
• 2004

Computational models for analyzing the in-reactor behavior of metallic fuel pins under transient conditions in liquid-metal reactors are developed and implemented in the TRAMAC (TRAnsient thermo-Mechanical Analysis Code) for a metal fuel rod under transient operation conditions. Not only the basic models for a fuel rod performance but also some sub-models used for transient condition are installed in TRAMAC. Among the models, a fission gas release model, which takes the multi-bubble size distribution into account to characterize the lenticular bubble shape and the saturation condition on the grain boundary and the cladding deformation model have been developed based mainly on the existing models in the MAC-SIS code. Finally, cladding strains are calculated from the amount of thermal creep, irradiation creep, and irradiation swelling. The cladding strain model in TRAMAC predicts well the absolute magnitudes and gen-eral trends of their predictions compared with those of experimental data. TRAMAC results for the FH-1,2,6 pins are more conservative than experimental data and relatively reasonable than those of FPIN2 code. From the calculation results of TRAMAC, it is apparent that the code is capable of predicting fission gas release, and cladding deformation for LMR metal fuel finder transient operation conditions. The results show that in general, the predictions of TRAMAC agree well with the available irradiation data.

• Computers and Concrete
• /
• 제1권2호
• /
• pp.189-209
• /
• 2004

Several extensions to the Thelandersson phenomenological model for concrete under transient high temperatures are explored. These include novel expressions for the temperature degradation of the elastic modulus and the temperature dependency of the coefficient of the free thermal strain. Furthermore, a coefficient of thermo mechanical strain is proposed as a bi-linear function of temperature. Good qualitative agreement with various test results taken from the literature is demonstrated. Further extensions include the effects of plastic straining and temperature dependent Poisson's ratio. The models performance is illustrated on several simple benchmark problems under uniaxial and biaxial stress states.

• 마이크로전자및패키징학회지
• /
• 제10권1호
• /
• pp.45-50
• /
• 2003

시스템 보드에 플립 칩 BGA가 실장된 3차원 유한요소 해석 모델을 구성하여 열사이클시험 과정에서 발생되는 솔더 접합부의 피로수명을 예측하였다. 피로 모델은 Darveaux의 경험식에 기초하여 비선형 점소성 해석을 수행하였다. 해석은 4종류의 열사이클시험 조건과 패드구조, 솔더 볼의 조성과 크기의 변화에 따라 발생하는 크리프 수명을 평가하였다. 해석결과 $-65∼150^{\circ}C$의 열사이클시험 조건에서 가장 짧은 피로수명을 보였으며, $0∼100^{\circ}C$ 조건과 비교하면 약 3.5 배 정도 증가하였다. 동일한 시험조건에서 패드구조 변화에 따른 피로수명 차이는 SMD구조가 NSMD구조에 비해 약 5.7% 증가하였다 결과적으로 솔더 접합부에서 크리프 변형에너지 밀도가 높으면 피로수명은 짧아지는 것을 알 수 있었다

• 대한토목학회논문집
• /
• 제29권4D호
• /
• pp.491-497
• /
• 2009

본 연구는 포장가속시험을 이용하여 다양한 온도와 하중재하방법에 따라 아스팔트 포장에 발생하는 소성변형의 특성을 분석하고, 주요 시험결과를 유한요소해석으로 예측하는 방법을 제시하고 있다. 가속시험용 포장단면은 한국도로공사 시험도로 대표 단면 중에 하나를 선정하여 동일하게 시공하고 3가지 온도조건(30, 40, $50^{\circ}C$)에서 반복이동하중에 의한 소성변형을 비교 분석하였다. 차량의 원더링 효과를 모사하기 위하여 가속시험기를 횡방향으로 좌우 35cm 범위 내에서 5cm 간격으로 이동하면서 시험을 수행하였다. 아울러 3가지 원더링 조건에 의한 소성변형의 차이도 수치해석을 통해서 검토하였다. 유한요소해석을 위하여 ABAQUS를 사용하였으며 가속시험 포장 단면을 plain strain 요소로 모델링하였다. 포장 층의 탄성계수는 FWD 시험에 의한 역산결과로 추정하였으며, 소성변형에 영향을 미치는 아스팔트 혼합물의 시간 의존성은 크리프 모델(creep model)로 고려하였다. 그리고 본 연구에서는 유한요소해석에 미치는 모델의 경계조건과 노상의 모델 포함 여부에 따른 영향을 두 가지 모델(전체모델과 부분모델)로 구분하여 검토하였다. 해석결과 두 가지 모델이 예측한 소성변형은 그 크기와 영향 범위에서 확연한 차이를 보였으며 계측결과와 비교하여 보면 노상이 모델에 포함하여야 할 것으로 판단되었다.

• 대한기계학회논문집A
• /
• 제29권2호
• /
• pp.253-261
• /
• 2005

In decades, a substantial body of work on a unified viscoplastic model which considers the mechanism of plastic deformation and creep deformation has developed. The systematic scheme for numerical analysis of unified model is necessary because the dominant failure mechanism is the defect growth and coalescence in materials. In the present study, the unified viscoplastic model for materials with defects suggested by Suquet and Michel was employed for numerical analysis. The constitutive equations are integrated based on the generalized mid-point rule and implemented into a finite element program (ABAQUS) by means of user-defined subroutine (UMAT). To evaluate the validity of the developed UMAT code and the assessment of the adopted viscoplastic model, the results obtained from the UMAT code was compared with the numerical reference solution and experimental data. The unit cell analysis also has been investigated to study the effect of strain rate, temperature, stress triaxiality and initial defect volume fraction on the growth and coalescence of the defect.

• Computers and Concrete
• /
• 제15권4호
• /
• pp.687-707
• /
• 2015

A finite element computer code for short-term analysis of steel-concrete composite structures is extended to study long-term effects under service loads, in the present work. Long-term effects are important in engineering design because they influence stress and strain distribution of the structural system and therefore contribute to the increment of deflections in these structures. For creep analysis, a rheological model based on a Kelvin chain, with elements placed in series, was employed. The parameters of the Kelvin chain were obtained using Dirichlet series. Creep and shrinkage models, proposed by the CEB FIP 90, were used. The shear-lag phenomenon that takes place at the concrete slab is usually neglected or not properly taken into account in the formulation of beam-column finite elements. Therefore, in this work, a three-dimensional numerical model based on the assemblage of shell finite elements for representing the steel beam and the concrete slab is used. Stud shear connectors are represented for special beam-column elements to simulate the partial interaction at the slab-beam interface. The two-dimensional representation of the concrete slab permits to capture the non-uniform shear stress distribution in the horizontal plane of the slab due to shear-lag phenomenon. The model is validated with experimental results of two full-scale continuous composite beams previously studied by other authors. Results are given in terms of displacements, bending moments and cracking patterns in order to shown the influence of long-term effects in the structural response and also the potentiality of the present numerical code.

• 복합신소재구조학회 논문집
• /
• 제3권1호
• /
• pp.8-15
• /
• 2012

고력볼트의 초기 체결력은 미끄럼표면조건에 따라, 일정시간이 경과될 때까지, 축력저하가 발생한다. 이 연구는 미끄럼접합부 표면에 도장이 되어있는 경우, 도장의 크리프현상에 따른 축력저하에 관한 예측 모델을 찾는 것이다. 이 실험연구 범위는 무기질 아연 프라이머로 도포된 볼트접합부의 장기축력저하에 한정한다. 실험에 적용된 볼트종류는 다크로 도포된 토크쉬어 볼트이다. 대상 표면의 도막 두께는 각각 96, 168, $226{\mu}m$ 이었다. 도막두께가 증가될수록, 초기 체결이후 축력이완율은 도막의 크리프 때문에 10%에서 18%로 증가되었다. 장기축력예측을 위한 정량적인 모델은 도막두께에 따른 크리프 스트레인과 경과된 시간사이에 회귀분석 결과로 얻어진다. 이 실험연구를 통해 미끄럼표면 도막의 크리프 거동특성을 알 수 있다면, 일정시간 경과후 고력볼트 체결력은 초기 체결력으로부터 구할 수 있다. 본 실험결과를 근거로 각 도막두께에 대한 장기축력이완이후의 고력볼트 체결력에 관한 정량적인 수식을 제안하였다.