• 제목/요약/키워드: Stress and Strain Analysis

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고온 변형 곡선을 이용한 동적 재결정 해석과 동적 상변태의 조기 예측 (Precise Flow Stress Analysis for the Occurrence of Dynamic Ferritic Transformation and Dynamic Recrystallization of Austenite in Low Carbon Steel)

  • 박노근
    • 대한금속재료학회지
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    • 제56권11호
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    • pp.779-786
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    • 2018
  • There have been previous attempts to observe the occurrence of dynamic ferritic transformation at temperatures even above $Ae_3$ in a low-carbon steel, and not only in steels, but recently also in titanium alloys. In this study, a new approach is proposed that involves treating true stress-true strain curves in uniaxial compression tests at various temperatures, and different strain rates in 0.1C-6Ni steel, which is a model alloy used to decelerate the kinetics of ferrite transformation from austenite. The initial flow stress up to peak stress was used to analyze the change in dynamic softening phenomena, such as dynamic recovery, dynamic recrystallization, and dynamic transformation. It is worth mentioning that for predicting the occurrence of dynamic transformation, flow stress before reaching peak stress is much more sensitive to the change in the dynamic softening rate due to dynamic transformation, compared to peak stress. It was found that the occurrence of dynamic ferritic transformation could be successfully obtained even at temperatures above $Ae_3$ once the deformation condition was satisfied. This deformation condition is a function of both the strain rate and the deformation temperature, which can be described as the Zener - Hollomon parameter. In addition, the driving force of dynamic ferritic transformation might be much less than that of the dynamic recrystallization of austenite at a given deformation condition. By applying this technique, it is possible to predict the occurrence of dynamic transformation more sensitively compared with the previous analysis method using peak stress during deformation.

변형률에 따른 탄성계수 변화를 고려한 말뚝의 주면지지력 산정 (Estimation of Pile Shaft Resistances with Elastic Modulus Depending on Strain)

  • 김석중;김성헌;정성준;권오성;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.933-943
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    • 2009
  • Axial loads and shaft resistances can be calculated by load transfer analysis using strain data with load level. In load transfer analysis, the elastic modulus of concrete is a one of the most important parameters to consider. The elastic modulus, $E_{50}$, suggested by ACI (American Concrete Institute), has been commonly used. However, elastic modulus of concrete shows nonlinear stress-strain characteristic, so nonlinearity should be considered in load transfer analysis. In this paper, a load transfer analysis was performed by using data obtained from bi-directional pile load tests for four cases of drilled shafts. For consideration of nonlinearity, elastic modulus was calculated by both the Fellenius method and the nonlinear method, assuming the stress-strain relation of concrete to be a quadratic function, and then, the calculated elastic modulus was applied to the estimation of shaft resistance. The calculated shaft resistances were compared with the result obtained using the constant elastic modulus of ACI code. It was found that the f-w curves are similar to each method, and elastic modulus and shaft resistances decreased as strain increased. Moreover, shaft resistances estimated from elastic modulus considering nonlinearity were 5~15% different than those obtained using the constant elastic modulus.

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블랭킹 잔류응력에 의한 리드프레임 변형 수치해석을 위한 대격자 모델 (A Coarse Mesh Model for Numerical Analysis of Lead Frame Deformation Due to Blanking Residual Stress)

  • 김용연
    • 한국정밀공학회지
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    • 제22권2호
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    • pp.133-138
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    • 2005
  • The deformation of sheet metal due to the residual stress during blanking or piercing process, is numerically simulated by means of a commercial finite element code. Two dimensional plain strain problem is solved and then its result is applied to the deformation analysis of the lead frame. The plain strain element is applied to the 2D problem to observe the Von Mises equivalent stress concentration at the both shearing edges. As the punch penetrates into the sheet material, the stress concentration generated on both edges is getting increased to be the shearing surface. The limits of the punching depth applied to the simulation is 16% and 24% of the sheet thickness for the plain strain element and the hexahedral element, respectively. The hexahedral element and the limit of punching depth were applied to the deformation analysis of the lead frame for the blanking process. The FEM results for the lead deformation were very good agreement with the experimental ones. This paper shows that the coarse mesh has enabled to analyze the lead deformation generated due to the blanking mechanism. This simple approach to save the calculation time will be very effective to the design of the blanking tools in industries.

복합알람밸브의 강도안전성에 관한 유한요소해석 (Finite Element Analysis on the Strength Safety of a Hybrid Alarm Valve)

  • 김청균;김태환
    • 한국생산제조학회지
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    • 제21권2호
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    • pp.221-224
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    • 2012
  • This paper presents the strength safety of a hybrid alarm valve by a finite element analysis. The stress and strain of a conventional hybrid alarm valve are calculated for the given maximum test pressure of 2MPa. Especially, the FEM computed maximum stress of a conventional hybrid valve is only 18.6% of yield strength, 370MPa. This means that the conventional valve is designed with a thick thickness of a valve structure. But, new hybrid alarm valve model, which is developed by optimized design method in this study, shows more low level of 43% in maximum stress and strain compared with that of a conventional hybrid valve. These results may recommend the reduction of a weight and a dimension for an optimized hybrid alarm valve.

중변형률 속도에서의 차체용 강판의 동적 인장실험 (Dynamic Tensile Tests of Steel Sheets for an Auto-body at the Intermediate Strain Rate)

  • 임지호;허훈;권순용;윤치상;박성호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.456-461
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    • 2004
  • The dynamic behavior of sheet metals must be examined to ensure the impact characteristics of auto-body by a finite element method. An appropriate experimental method has to be developed to acquire the material properties at the intermediate strain rate which is under 500/s in the crash analysis of auto-body. In this paper, tensile tests of various different steel sheets for an auto-body were performed to obtain the dynamic material properties with respect to the strain rate which is ranged from 0.003/sec to 200/sec. A high speed material testing machine was made for tension tests at the intermediate strain rate and the dimensions of specimens that can provide the reasonable results were determined by the finite element analysis. Stress-strain curves were obtained for each steel sheet from the dynamic tensile test and used to deduce the relationship of the yield stress and the elongation to the strain rate. These results are significant not only in the crashworthiness evaluation under car crash but also in the high speed metal forming.

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응력경로에 따른 단일항복면구성모델의 토질매개변수 특성 (Parameters Characteristics of Single Work Hardening Model Dependent on the Stress Path)

  • 김찬기
    • 한국농공학회지
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    • 제38권2호
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    • pp.133-144
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    • 1996
  • To get accurate results, the realistic stress-strain relationships of soils are dependent on a number of factors such as soil types, density, stress levels and stress path. Such attempts are continuously being made by the developement of analytical models for soils incorporating all such factors. Isotropic compression-expansion test and a series of drained conventional triaxial tests with several stress path for Baekma river sand were performed to investigate parameters characteristics of Lade's single work hardening model dependant on the stress path. Using the computer program based on the regression analysis, the values of parameters for the model were determined. In conclusion, the parameters of Lade's model are little influenced by the stress paths. Though yield criterion parameters ( h, ${\alpha}$a) are much influenced by stress level and stress path, the parameters don't have influence on stress-strain behavior.

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수직력하에서 임프란트 나사형태에 따른 응력의 3차원 유한요소법적 분석 (THE THREE DIMENSIONAL FINITE ELEMENT ANALYSIS OF STRESS ACCORDING TO IMPLANT THREAD DESIGN UNDER THE AXIAL LOAD)

  • 김우택;차용두;오세종;박상수;김현우;박양호;박준우;이건주
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • 제27권2호
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    • pp.111-117
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    • 2001
  • There are three designs of thread form in screw type implants: V-thread, Reverse buttress thread and Square thread. The purpose of this study was to find out how thread form designs have an influence on the equivalent stress, equivalent strain, maximum shear stress and maximum shear strain and which design of thread form generates more maximum equivalent stress and strain. 3-D finite element analysis was used to evaluate the stress and strain patterns of three tread types. The results of this study were as follow. 1. Under the 200N of axial load, the value of maximum equivalent stress is smallest in square thread and there is no significant difference between that of V thread and reverse buttress thread. 2. Under the 200N of axial load, the value of maximum equivalent strain is largest in V thread and smallest in square thread. 3. Under the 200N of axial load, the value of maximum shear stress is smallest in square thread and there is no significant difference between that of V thread and reverse buttress thread. 4. Under the 200N of axial load, the value of maximum equivalent strain is largest in V thread and there is no significant difference between that of square thread and reverse buttress thread. 5. Above results show that the square thread has special advantages in stress and strain compared with other thread types, especially in shear stess which is most determinant to implant-bone interface. Considering the superior biomechanical properties of square form implant, we presume that square form implant has better clinical results than the other types of implants in the same clinical conditions.

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ECC의 1축 인장 거동 해석 (Numerical Analysis of ECC Uniaxial Tension Behavior)

  • 김윤용;이방연;권승희;김정수
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.917-920
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    • 2008
  • ECC는 섬유가 매트릭스의 균열 면에서 가교작용을 통하여 균열의 폭을 제어함으로써 미세한 다중 균열(multiple cracking)을 발생시키면서 인장변형률 경화 거동을 보이는 섬유복합재료이다. 따라서 다중 균열과 인장변형률 경화 거동을 보일 수 있도록 마이크로역학에 기반하여 재료를 설계한다. 이 연구에서는 ECC의 다중 균열과 변형률 경화 거동을 모사할 수 있는 해석 방법을 제시하고자 한다. 이 과정에서 균열 면에서 이론적으로 유도된 가교응력-개구변위 관계에서 섬유의 방향과 유효 섬유의 개수를 고려하여 수정된 응력-변위 관계를 사용하였으며, 매트릭스 및 섬유-매트릭스 계면의 불확실성을 고려하기 위하여 각 요소의 매트릭스 균열 강도(${\sigma}_{fci}$) 및 탄성계수($E_{ci}$), 균열면 최대응력(${\sigma}_{Bi}$) 및 변위(${\delta}_{Bi}$), 계면의 화학적 부착에 의한 균열면의 초기응력(${\sigma}_{0i}$), 균열 간격(${\alpha}_cX_d$)이 일정 범위 내에서 무작위로 선택되도록 하였다. 해석결과 변형률 경화거동 및 최대 변형률을 충분히 모사할 수 있는 것으로 나타났으며, 균열 개수 및 균열면의 강성이 해석의 중요한 변수임을 확인할 수 있었다.

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Numerical simulation of elastic-plastic stress concentration in fibrous composites

  • Polatov, Askhad M.
    • Coupled systems mechanics
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    • 제2권3호
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    • pp.271-288
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    • 2013
  • In the present study an elastic-plastic strain analysis is carried out for fibrous composites by using numerical modeling. Application of homogeneous transversely-isotropic model was chosen based on problem solution of a square plate with a circular hole under uniaxial tension. The results obtained in this study correspond to the solution of fiber model trial problem, as well as to analytical solution. Further, numerical algorithm and software has been developed, based on simplified theory of small elastic strains for transversely-isotropic bodies, and FEM. The influence of holes and cracks on stress state of complicated configuration transversely-isotropic bodies has been studied. Strain curves and plasticity zones that are formed in vicinity of the concentrators has been provided. Numerical values of effective mechanical parameters calculated for unidirectional composites at different ratios of fiber volume content and matrix. Content volume proportions of fibers and matrix defined for fibrous composite material that enables to behave as elastic-plastic body or as a brittle material. The influences of the fibrous structure on stress concentration in vicinity of holes on boron/aluminum D16, used as an example.

Three-dimensional FE analysis of headed stud anchors exposed to fire

  • Ozbolt, Josko;Koxar, Ivica;Eligehausen, Rolf;Periskic, Goran
    • Computers and Concrete
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    • 제2권4호
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    • pp.249-266
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    • 2005
  • In the present paper a transient three-dimensional thermo-mechanical model for concrete is presented. For given boundary conditions, temperature distribution is calculated by employing a three-dimensional transient thermal finite element analysis. Thermal properties of concrete are assumed to be constant and independent of the stress-strain distribution. In the thermo-mechanical model for concrete the total strain tensor is decomposed into pure mechanical strain, free thermal strain and load induced thermal strain. The mechanical strain is calculated by using temperature dependent microplane model for concrete (O$\check{z}$bolt, et al. 2001). The dependency of the macroscopic concrete properties (Young's modulus, tensile and compressive strengths and fracture energy) on temperature is based on the available experimental database. The stress independent free thermal strain is calculated according to the proposal of Nielsen, et al. (2001). The load induced thermal strain is obtained by employing the biparabolic model, which was recently proposed by Nielsen, et al. (2004). It is assumed that the total load induced thermal strain is irrecoverable, i.e., creep component is neglected. The model is implemented into a three-dimensional FE code. The performance of headed stud anchors exposed to fire was studied. Three-dimensional transient thermal FE analysis was carried out for three embedment depths and for four thermal loading histories. The results of the analysis show that the resistance of anchors can be significantly reduced if they are exposed to fire. The largest reduction of the load capacity was obtained for anchors with relatively small embedment depths. The numerical results agree well with the available experimental evidence.