• 제목/요약/키워드: Strain Softening Material

검색결과 102건 처리시간 0.024초

High-Temperature Rupture of 5083-Al Alloy under Multiaxial Stress States

  • Kim Ho-Kyung;Chun Duk-Kyu;Kim Sung- Hoon
    • Journal of Mechanical Science and Technology
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    • 제19권7호
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    • pp.1432-1440
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    • 2005
  • High-temperature rupture behavior of 5083-Al alloy was tested for failure at 548K under multiaxial stress conditions: uniaxial tension using smooth bar specimens, biaxial shearing using double shear bar specimens, and triaxial tension using notched bar specimens. Rupture times were compared for uniaxial, biaxial, and triaxial stress conditions with respect to the maximum principal stress, the von Mises effective stress, and the principal facet stress. The results indicate that the von Mises effective and principal facet stresses give good correlation for the material investigated, and these parameters can predict creep life data under the multiaxial stress states with the rupture data obtained from specimens under the uniaxial stress. The results suggest that the creep rupture of this alloy under the testing condition is controlled by cavitation coupled with highly localized deformation process, such as grain boundary sliding. It is also conceivable that strain softening controls the highly localized deformation modes which result in cavitation damage in controlling rupture time of this alloy.

Nonlinear vibration and primary resonance of multilayer functionally graded shallow shells with porous core

  • Kamran Foroutan;Liming Dai
    • Steel and Composite Structures
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    • 제48권3호
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    • pp.335-351
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    • 2023
  • This research studies the primary resonance and nonlinear vibratory responses of multilayer functionally graded shallow (MFGS) shells under external excitations. The shells considered with functionally graded porous (FGP) core and resting on two types of nonlinear viscoelastic foundations (NVEF) governed by either a linear model with two parameters of Winkler and Pasternak foundations or a nonlinear model of hardening/softening cubic stiffness augmented by a Kelvin-Voigt viscoelastic model. The shells considered have three layers, sandwiched by functionally graded (FG), FGP, and FG materials. To investigate the influence of various porosity distributions, two types of FGP middle layer cores are considered. With the first-order shear deformation theory (FSDT), Hooke's law, and von-Kármán equation, the stress-strain relations for the MFGS shells with FGP core are developed. The governing equations of the shells are consequently derived. For the sake of higher accuracy and reliability, the P-T method is implemented in numerically analyzing the vibration, and the method of multiple scales (MMS) as one of the perturbation methods is used to investigate the primary resonance. The results of the present research are verified with the results available in the literature. The analytical results are compared with the P-T method. The influences of material, geometry, and nonlinear viscoelastic foundation parameters on the responses of the shells are illustrated.

S-K 구성방정식을 이용한 프린터용 3D Ti-6Al-4V 재료의 유동응력 결정 및 절삭력 예측 (Determination of Flow Stress and Cutting Force Prediction of Ti-6Al-4V Material for 3D Printer using S-K Constitutive Equation)

  • 박대균;김태호;전언찬
    • 한국기계가공학회지
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    • 제17권6호
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    • pp.68-74
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    • 2018
  • Study on the Ti-6Al-4V have been carried out using cutting simulation, and researches for cutting force and chip shape prediction have been actively conducted under various conditions. However, a 3D printer application method using Ti-6Al-4V metal powder material as a high-power method has been studied for the purpose of prototyping, mold modification and product modification while lowering material removal rate. However, in the case of products / parts made of 3D printers using powder materials, problems may occur in the contact surface during tolerance management and assembly due to the degradation of the surface quality. As a result, even if a 3D printer is applied, post-processing through cutting is essential for surface quality improvement and tolerance management. In the cutting simulation, the cutting force and the chip shape were predicted based on the Johnson-Cook composition equation, but the shape of the shear type chip was not predictable. To solve this problem, we added a damaging term or strain softening term to the Johnson-Cook constitutive equation to predict chip shape. In this thesis, we applied the constant value of the S-K equations to the cutting simulation to predict the cutting force and compare with the experimental data to verify the validity of the cutting simulation and analyzed the machining characterization by considering conditions.

Crack Band Model 기반 손상변수를 이용한 탄소섬유강화 복합재료 적층판의 점진적 파손 거동 예측 및 검증 (Prediction and Evaluation of Progressive Failure Behavior of CFRP using Crack Band Model Based Damage Variable)

  • 윤동현;김상덕;김재훈;도영대
    • Composites Research
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    • 제32권5호
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    • pp.258-264
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    • 2019
  • 본 논문에서는 Hashin 파손 기준식과 crack band 모델이 접목된 손상변수를 이용하여 점진적파손해석 방법이 개발되었다. 파손기준식을 이용하여 파손의 개시 유무가 판단된다. 파손이 개시된 경우에는 각 파손모드(섬유 인장/압축, 기지 인장/압축)에서 손상변수가 선형 열화 거동에 따라 계산되고, 손상강성행렬을 계산하는데 사용된다. 손상강성행렬은 손상된 재료에 반영되고, 계산된 손상강성행렬을 이용하여 재료의 완전한 파괴를 의미하는 손상변수가 1인 시점이 되기까지 점진적 파손해석이 계속해서 반복적으로 수행된다. 일련의 과정들은 상용해석프로그램인 ABAQUS에 사용자 정의 부프로그램을 이용하여 수행되었다. 제안된 점진적파손해석 도구의 검증을 위하여, 원공을 가진 복합재료 적층판의 시험 결과와 비교를 수행하였으며, 시험 중 디지털 이미지 상관법을 이용하여 획득한 변형률 거동과 해석을 통해 획득한 변형률 거동을 비교하였다. 제안된 해석결과는 시험 결과와 비교하여 유효한 일치를 보였다.

다중판재의 고속충돌에 관한 최적설계 (Optimal Design of a Multi-Layered Plate Structure Under High-Velocity Impact)

  • 윤덕현;박명수;정동택;유정훈
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1793-1799
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    • 2003
  • An optimal design of a multi-layered plate structure to endure high-velocity impact has been suggested by using size optimization after numerical simulations. The NET2D, a Lagrangian explicit time-integration finite element code for analyzing high-velocity impact, was used to find the parameters for the optimization. Three different materials such as mild steel, aluminum for a multi-layered plate structure and die steel for the pellet, were assumed. In order to consider the effects of strain rate hardening, strain hardening and thermal softening, Johnson-Cook model and Phenomenological Material Model were used as constitutive models for the simulation. It was carried out with several different gaps and thickness of layers to figure out the trend in terms of those parameters' changes under the constraint, which is against complete penetration. Also, the measuring domain has been shrunk with several elements to reduce the analyzing time. The response surface method based on the design of experiments was used as optimization algorithms. The optimized thickness of each layer in which perforation does not occur has been obtained at a constant velocity and a designated total thickness. The result is quite acceptable satisfying both the minimized deformation energy and the weight criteria. Furthermore, a conceptual idea for topology optimization was suggested for the future work.

마그네슘 합금 판재의 평면 DIC 측정을 위한 지그 개발과 이를 활용한 단축 변형 특성 분석 (Development of jigs for planar measurement with DIC and determination of magnesium material properties using jigs)

  • 강정은;유지윤;최인규;유제형;이창환
    • Design & Manufacturing
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    • 제15권2호
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    • pp.23-29
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    • 2021
  • The specific strength of magnesium alloy is four times that of iron and 1.5 times that of aluminum. For this reason, its use is increasing in the transportation industry which is promoting weight reduction. At room temperature, magnesium alloy has low formability due to Hexagonal closed packed (HCP) structure with relatively little slip plane. However, as the molding temperature increases, the formability of the magnesium alloy is greatly improved due to the activation of other additional slip systems, and the flow stress and elongation vary greatly depending on the temperature. In addition, magnesium alloys exhibit asymmetrical behavior, which is different from tensile and compression behavior. In this study, a jig was developed that can measure the plane deformation behavior on the surface of a material in tensile and compression tests of magnesium alloys in warm temperature. A jig was designed to prevent buckling occurring in the compression test by applying a certain pressure to apply it to the tensile and compression tests. And the tensile and compressive behavior of magnesium at each temperature was investigated with the developed jig and DIC equipment. In each experiment, the strain rate condition was set to a quasi-static strain rate of 0.01/s. The transformation temperature is room temperature, 100℃. 150℃, 200℃, 250℃. As a result of the experiment, the flow stress tended to decrease as the temperature increased. The maximum stress decreased by 60% at 250 degrees compared to room temperature. Particularly, work softening occurred above 150 degrees, which is the recrystallization temperature of the magnesium alloy. The elongation also tended to increase as the deformation temperature increased and increased by 60% at 250 degrees compared to room temperature. In the compression experiment, it was confirmed that the maximum stress decreased as the temperature increased.

폐광의 점진적 파괴 및 뒷채움 효과에 대한 해석적 연구 (A Numerical Analysis on the Collapse and Backfill Mechanism of the Abandoned Mine Cavity)

  • 이준석;방춘석
    • 한국터널지하공간학회 논문집
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    • 제2권2호
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    • pp.62-71
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    • 2000
  • 지하채굴작업에 의한 공동 및 폐갱 등은 지반침하 및 지표함몰현상의 주요 원인이 되며, 근접시공 지하구조물 또는 인근 구조물의 안정성 저해요소로 대두되고 있다. 이에 대한 대책방안으로 폐갱을 충진재로 채우는 보강시공을 수행하는 경우가 있으나 설계방법 및 안정성 해석방법이 미흡한 실정이다. 따라서 본 연구에서는 폐갱 등 지하공동에 의한 주변지반의 영향권을 수치적으로 분석하고 실제 수치해석 과정에서 주변 암반의 장기거동을 고려할 수 있는 방안을 제시하였다. 아울러 폐갱 인근의 구조적 안정성을 향상시키기 위하여 지하공동을 뒷채움재로 충진한 경우, 안정성 평가 및 암반의 거동을 수치적으로 분석할 수 있는 기법을 제시하였으며 불완전한 뒷채움재의 영향을 함께 고려하였다.

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Mechanical properties of expanded polystyrene beads stabilized lightweight soil

  • Li, Mingdong;Wen, Kejun;Li, Lin;Tian, Anguo
    • Geomechanics and Engineering
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    • 제13권3호
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    • pp.459-474
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    • 2017
  • To investigate the mechanical properties of Expanded Polystyrene (EPS) Beads Stabilized Lightweight Soil (EBSLS), Laboratory studies were conducted. Totally 20 sets of specimens according to the complete test design were prepared and tested with unconfined compressive test and consolidated drained triaxial test. Results showed that dry density of EBSLS ($0.67-1.62g/cm^3$) decreases dramatically with the increase of EPS beads volumetric content, while increase slightly with the increase of cement content. Unconfined compressive strength (10-2580 kPa) increases dramatically in parabolic relationship with the increase of cement content, while decreases with the increase of EPS beads volumetric content in hyperbolic relationship. Cohesion (31.1-257.5 kPa) increases with the increase of cement content because it is mainly caused by the bonding function of hydration products of cement. The more EPS beads volumetric content is, the less dramatically the increase is, which is a result of the cohesion between hydration products of cement and EPS beads is less than that between hydration products of cement and sand particles. Friction angle ($14.92-47.42^{\circ}$) decreases with the increase of EPS beads volumetric content, which is caused by the smoother surfaces of EPS beads than sand grains. The stress strain curves of EBSLS tend to be more softening with the increase of EPS beads content or the decrease of cement content. The shear contraction of EBSLS increases with the increase of $c_e$ or the decrease of $c_c$. The results provided quantitative relationships between physico-mechanical properties of EBSLS and material proportion, and design process for engineering application of EBSLS.

대형삼축시험에 의한 상사입도 조립재료의 변형 및 전단강도 특성 (Characteristics of Deformation and Shear Strength of Parallel Grading Coarse-grained Materials Using Large Triaxial Test Equipment)

  • 김광일;신동훈;임은상;김기영
    • 한국지반공학회논문집
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    • 제25권12호
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    • pp.57-67
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    • 2009
  • 최근 시공기술이 발전함에 따라 댐 축조재료로 사용되는 조립재료의 최대입경은 수cm에서 1m이상에 달하고 있다. 실제 현장 원입도 시료에 대한 시험을 실시하는 것은 비용적으로 고가일 뿐만 아니라 기술적으로도 많은 문제가 존재하므로 일반적으로 상사입도 시료에 대하여 실내시험을 실시하고 그 결과를 실제 지반구조물의 설계 및 해석에 적용한다. 지반구조물에 대한 보다 정확한 거동특성을 예측하기 위해서는 입자크기에 따른 전단거동 특성의 변화를 파악하는 것이 필수적이라고 할 수 있다. 이에 본 연구에서는 국내 B댐 현장 댐 축조시료인 하상 사력재에 대하여 최대입경을 서로 달리하여 재구성한 상사입도시료를 대상으로 같은 상대밀도로 공시체를 제작하여 대형삼축시험을 실시하였으며, 최대입경의 변화에 따른 상사입도시료의 응력-변형특성, 전단강도특성을 비교.분석하였다. 시험결과 조립재료는 전단과정에서 응력연화 및 체적팽창 거동을 나타내고, 상사입도 시료의 최대입경이 증가할수록 그 현상이 더욱 뚜렷한 것으로 나타났다. 내부마찰각, 전단강도는 상사입도 시료의 최대입경이 증가함에 따라 증가하는 것으로 나타났다.

Multiscale modeling of reinforced/prestressed concrete thin-walled structures

  • Laskar, Arghadeep;Zhong, Jianxia;Mo, Y.L.;Hsu, Thomas T.C.
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.69-89
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    • 2009
  • Reinforced and prestressed concrete (RC and PC) thin walls are crucial to the safety and serviceability of structures subjected to shear. The shear strengths of elements in walls depend strongly on the softening of concrete struts in the principal compression direction due to the principal tension in the perpendicular direction. The past three decades have seen a rapid development of knowledge in shear of reinforced concrete structures. Various rational models have been proposed that are based on the smeared-crack concept and can satisfy Navier's three principles of mechanics of materials (i.e., stress equilibrium, strain compatibility and constitutive laws). The Cyclic Softened Membrane Model (CSMM) is one such rational model developed at the University of Houston, which is being efficiently used to predict the behavior of RC/PC structures critical in shear. CSMM for RC has already been implemented into finite element framework of OpenSees (Fenves 2005) to come up with a finite element program called Simulation of Reinforced Concrete Structures (SRCS) (Zhong 2005, Mo et al. 2008). CSMM for PC is being currently implemented into SRCS to make the program applicable to reinforced as well as prestressed concrete. The generalized program is called Simulation of Concrete Structures (SCS). In this paper, the CSMM for RC/PC in material scale is first introduced. Basically, the constitutive relationships of the materials, including uniaxial constitutive relationship of concrete, uniaxial constitutive relationships of reinforcements embedded in concrete and constitutive relationship of concrete in shear, are determined by testing RC/PC full-scale panels in a Universal Panel Tester available at the University of Houston. The formulation in element scale is then derived, including equilibrium and compatibility equations, relationship between biaxial strains and uniaxial strains, material stiffness matrix and RC plane stress element. Finally the formulated results with RC/PC plane stress elements are implemented in structure scale into a finite element program based on the framework of OpenSees to predict the structural behavior of RC/PC thin-walled structures subjected to earthquake-type loading. The accuracy of the multiscale modeling technique is validated by comparing the simulated responses of RC shear walls subjected to reversed cyclic loading and shake table excitations with test data. The response of a post tensioned precast column under reversed cyclic loads has also been simulated to check the accuracy of SCS which is currently under development. This multiscale modeling technique greatly improves the simulation capability of RC thin-walled structures available to researchers and engineers.