• 제목/요약/키워드: homogeneous deformation

검색결과 185건 처리시간 0.02초

냉간압연된 Al-6.5Mg-1.5Zn-0.5Fe-0.5Mn계 합금의 미세조직 및 기계적 특성 (Microstructure and Mechanical Properties of a Cold-Rolled Al-6.5Mg-1.5Zn-0.5Fe-0.5Mn System Alloy)

  • 조상현;이성희
    • 한국재료학회지
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    • 제30권5호
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    • pp.246-251
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    • 2020
  • The annealing characteristics of cold-rolled Al-6.5Mg-1.5Zn-0.5Fe-0.5Mn alloy, newly designed as an automobile material, are investigated in detail, and compared with those of other aluminum alloys. Using multi-pass rolling at room temperature, the ingot aluminum alloy is cut to a thickness of 4 mm, width of 30 mm, and length of 100 mm to reduce the thickness to 1 mm (r = 75 %). Annealing after rolling is performed at various temperatures ranging from 200 to 500 ℃ for 1 hour. The specimens annealed at temperatures up to 300 ℃ show a deformation structure; however, from 350 ℃ they have a recrystallization structure consisting of almost equiaxed grains. The hardness distribution in the thickness direction of the annealed specimens is homogeneous at all annealing temperatures, and their average hardness decreases with increasing annealing temperature. The tensile strength of the as-rolled specimen shows a high value of 496 MPa; however, this value decreases with increasing annealing temperature and becomes 338 MPa after annealing at 400 ℃. These mechanical properties of the specimens are compared with those of other aluminum alloys, including commercial 5xxx system alloys.

Magnetic Properties and Microstructure of Nanocrystalline NdFeB Magnets Fabricated by a Modified Hot Working Process

  • Kim, Hyoung-Tae;Kim, Yoon-Bae;Jeon, Woo-Yong;Kim, Hak-Shin
    • Journal of Magnetics
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    • 제7권4호
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    • pp.138-142
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    • 2002
  • Magnetic properties, microstructure and texture of NdFeB magnets fabricated by a modified hot working process from commercial melt-spun powders (Magnequench; MQPA, MQPB and MQPB+) have been investigated. The hot-pressed isotropic magnet made from MQPA powder, which contains higher Nd content than that of MQPB or MQPB+, shows higher coercivity. The magnet also shows homogenous and fine grains with higher coercivity for higher consolidation pressure. The hot-deformed MQPA magnet shows a strong anisotropy along the press direction with homogeneous platelet Nd$_2$Fe$_{14}$B grains of 50∼100nm in thickness and 200∼500nm in length. The hot-deformed MQPB+ magnet, however, shows low remanence and low coercivity. The microstructure of the magnet consists of two areas; undeformed Nd$_2$Fe$_{14}$B grains and well-aligned but large grains with 3∼4 $\mu$m in length. Low Nd content attributes to the formation of the two different area.

Thermomechanical bending investigation of FGM sandwich plates using four shear deformation plate theory

  • Bouamoud, Ahmed;Boucham, Belhadj;Bourada, Fouad;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제32권5호
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    • pp.611-632
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    • 2019
  • In this work, a four-variable refined plate model is applied to study the thermomechanical bending of two kinds of functionally graded material (FGM) sandwich plates. The sandwich core of one kind is isotropic with the FGM face sheets whereas in the second kind, the sandwich core is FGM with the isotropic and homogeneous face sheets. By considering only four unknown variables, the governing equations are written based on the principle of virtual work and then Navier method is employed to solve these equations. Deflections and stresses of two kinds of FGM sandwich structures are analyzed and discussed. The validity and efficiency of the proposed model is checked by comparing it with various available solutions in the literature. The effects of volume fraction distribution, geometric ratio and thermal load on thermomechanical bending properties of FGM sandwich plate are investigated in detail.

Elastic wave phenomenon of nanobeams including thickness stretching effect

  • Eyvazian, Arameh;Zhang, Chunwei;Musharavati, Farayi;Khan, Afrasyab;Mohamed, Abdeliazim Mustafa
    • Advances in nano research
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    • 제10권3호
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    • pp.271-280
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    • 2021
  • The present work deals with an investigation on longitudinal wave propagation in nanobeams made of graphene sheets, for the first time. The nanobeam is modelled via a higher-order shear deformation theory accounts for both higher-order and thickness stretching terms. The general nonlocal strain gradient theory including nonlocality and strain gradient characteristics of size-dependency in order is used to examine the small-scale effects. This model has three-small scale coefficients in which two of them are for nonlocality and one of them applied for gradient effects. Hamilton supposition is applied to obtain the governing motion equation which is solved using a harmonic solution procedure. It is indicated that the longitudinal wave characteristics of the nanobeams are significantly influenced by the nonlocal parameters and strain gradient parameter. It is shown that higher nonlocal parameter is more efficient than lower nonlocal parameter to change longitudinal phase velocities, while the strain gradient parameter is the determining factor for their efficiency on the results.

Microstructural modeling of two-way bent shape change of composite two-layer beam comprising a shape memory alloy and elastoplastic layers

  • Belyaev, Fedor S.;Evard, Margarita E.;Volkov, Aleksandr E.;Volkova, Natalia A.;Vukolov, Egor A.
    • Smart Structures and Systems
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    • 제30권3호
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    • pp.245-253
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    • 2022
  • A two-layer beam consisting of an elastoplastic layer and a functional layer made of shape memory alloy (SMA) TiNi is considered. Constitutive relations for SMA are set by a microstructural model capable to calculate strain increment produced by arbitrary increments of stress and temperature. This model exploits the approximation of small strains. The equations to calculate the variations of the strain and the internal variables are based on the experimentally registered temperature kinetics of the martensitic transformations with an account of the crystallographic features of the transformation and the laws of equilibrium thermodynamics. Stress and phase distributions over the beam height are calculated by steps, by solving on each step the boundary-value problem for given increments of the bending moment (or curvature) and the tensile force (or relative elongation). Simplifying Bernoulli's hypotheses are applied. The temperature is considered homogeneous. The first stage of the numerical experiment is modeling of preliminary deformation of the beam by bending or stretching at a temperature corresponding to the martensitic state of the SMA layer. The second stage simulates heating and subsequent cooling across the temperature interval of the martensitic transformation. The curvature variation depends both on the total thickness of the beam and on the ratio of the layer's thicknesses.

Buckling and free vibration analysis of multi-directional functionally graded sandwich plates

  • Ali, Alnujaie;Atteshamuddin S., Sayyad;Lazreg, Hadji;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • 제84권6호
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    • pp.813-822
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    • 2022
  • In this article, the buckling and free vibration of multi-directional FGM sandwich plates are investigated. The material properties of FGM sandwich plates are assumed to be varying continuously in the in the longitudinal, transverse and thickness directions. The material properties are evaluated based on Voigt's micro-mechanical model considering power law distribution method with arbitrary power index. Equations of motion for the buckling and vibration analysis of multi-directional FGM sandwich plate are obtained based on refined shear deformation theory. Analytical solution for simply supported multidirectional FGM sandwich plate is carried out using Navier's solution technique. The FGM sandwich plate considered in this work has a homogeneous ceramic core and two functionally graded face sheets. Influence of volume fraction index in the longitudinal, transverse and thickness direction, layer thickness, and geometrical parameter over natural frequency and critical buckling load of multi-directional FGM sandwich plate is investigated. The finding shows a multi-directional functionally graded structures perform better compared to uni-directional gradation. Hence, critical grading parameters have been identified which will guide researchers in selecting fabrication routes for improving the performance of such structures.

Investigating spurious cracking in finite element models for concrete fracture

  • Gustavo Luz Xavier da Costa;Carlos Alberto Caldeira Brant;Magno Teixeira Mota;Rodolfo Giacomim Mendes de Andrade;Eduardo de Moraes Rego Fairbairn;Pierre Rossi
    • Computers and Concrete
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    • 제31권2호
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    • pp.151-161
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    • 2023
  • This paper presents an investigation of variables that cause spurious cracking in numerical modeling of concrete fracture. Spurious cracks appear due to the approximate nature of numerical modeling. They overestimate the dissipated energy, leading to divergent results with mesh refinement. This paper is limited to quasi-static loading regime, homogeneous models, cracking as the only nonlinear mode of deformation and cracking only due to tensile loading. Under these conditions, some variables that can be related to spurious cracking are: mesh alignment, ductility, crack band width, structure size, mesh refinement and load increment size. Case studies illustrate the effect of each variable and convergence analyses demonstrate that, after all, load-increment size is the most important variable. Theoretically, a sufficiently small load increment is able to eliminate or at least alleviate the detrimental influence of the other variables. Such load-increment size might be prohibitively small, rendering the simulation unfeasible. Hence, this paper proposes two alternatives. First, it is proposed an algorithm that automatically find such small load increment size automatically, which not necessarily avoid large computations. Then, it is proposed a double simulation technique, in which the crack is forced to propagate through the localization zone.

바인더 회생방식을 개선한 재생 아스팔트 콘크리트의 소성변형 특성 연구 (Evaluation of Permanent Deformation Characteristics of Recycled Asphalt Concretes Made by Improved Binder-Rejuvenation)

  • 김광우;권오선;도영수
    • 한국도로학회논문집
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    • 제8권1호
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    • pp.1-13
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    • 2006
  • 본 논문은 가열 재생아스팔트 흔합물의 성능을 향상시키기 위한 방법을 개발하기 위한 연구의 일부분이다. 새로이 개발된 혼합 방법은 회수 아스팔트 포장의 기존 바인더를 훨씬 많이 회생시켜 재생 혼합물에서 균일한 바인더의 정도를 갖게 한다. 본 연구의 목적은 새로이 개발된 혼합 방법으로 제조된 재생아스팔트 혼합물의 소성변형 저항 특성을 평가하는 것이다. 두 종류 골재(편마암 화강암), RAP의 두 가지 함량(15, 30%), LDPE의 두 가지 첨가량(0, 6%)를 이용하였으며, 혼합방법은 바인더의 불균등 상태를 개선하기 위한 두 가지 방법, 즉 일반적인 기존의 A 방법과 새롭게 개발한 F 방법을 이용하였다. 재생 혼합물 내의 바인더 산화 정도의 차를 조사하기 위하여 GPC분석을 실시하였고, 흔합 방법에 따른 소성변형 저항성을 평가하기 위하여 각 혼합 방법에 따라 제작한 재생 흔합물을 휠 트랙킹 시험과 변형강도를 측정하였다. 소성변형 저항 특성과 변형강도와의 상관관계는 기존의 A 방법보다 새롭게 개발된 F 방법이 더 높게 나타나, F 방법으로 제조된 혼합물의 품질이 보다 일관성 있는 소성변형 저항성을 나타내는 것을 알 수 있었다.

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3차원 층구조체의 복합해석 및 컴퓨터 프로그램의 개발 (Development of Composite Theory and Computer Program for 3-D Layered System)

  • 임종균;박문호;김진규
    • 대한토목학회논문집
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    • 제14권1호
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    • pp.39-48
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    • 1994
  • 본 연구는 3차원 층구조체의 복합이론 및 유한요소해석 프로그램의 개발에 목적이 있다. 3차원 층구조체는 선형, 탄성, 등방성의 작은 변위에 제한을 두었으며, 변위를 나타내기 위하여 global 좌표축외에 local 좌표축을 사용하는 multiscale 의 방법을 이용하였다. 유한요소법의 적용시 요구되는 주종속 변수들은 $C_o$ 연속성을 만족하도록 택하여 해석하였으며 그결과 해석이 아주 간편하였으며 계산과정이 매우 경제적이었다. 지금까지 개발되어온 대개의 복합이론은 중첩의 원리를 사용하여 비선형 해석에는 쉽게 적용될 수 없었으나 본 연구에서 개발한 복합이론은 비선형해석에 용이하게 적용할 수 있다. 본 연구에서 개발된 복합이론의 정당성과 사용성을 입증하기 위하여 2차원 및 3차원의 탄성받침을 해석하여 이산화해석의 결과치와 비교, 검토하였다.

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축대칭 층구조체의 복합이론 및 유한요소해석프로그램의 개발 (Composite Finite Element Analysis of Axisymmetric Layered Systems)

  • 임종균;박문호;김진규
    • 대한토목학회논문집
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    • 제14권1호
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    • pp.29-38
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    • 1994
  • 본 연구는 축대칭 충구조체의 복합이론 및 유한요소해석 프로그램의 개발에 목적이었다. 연구대상인 축대칭 층구조체는 회전축에 수직으로 층을 이루고 있으며 선형, 탄성, 작은변형 및 축대칭 하중조건의 제한을 두었다. 개발된 복합이론은 multiscale의 방식을 사용하여 비균등질 층구조체를 등가 균등질로 취급할 수 있도록 하였으며 이 과정에서 주 변수들의 연속성만을 필요로 하였다. 그결과 종전에 시용되어온 비교적 복잡한 이론들과는 달리 $C_o$ 연속의 유한요소 프로그램의 개발이 가능하였으며 4 node isoparametric 요소를 사용하였다. 본 연구의 복합이론은 선형조건에 제한하였으나, 본 연구에서 제안한 multiscale 해석법을 이용하면 교량용 받침에 대한 연성재료의 비선형거동의 해석도 가능하게된다. 본 연구에서의 복합이론 및 유한요소해석의 타당함을 보이기위하여 두가지 하중조건 하에서 축대칭 층구조체를 해석하여 기존의 복합이론 및 이산화해석의 결과치와 비교하였다.

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