• Title/Summary/Keyword: Stress Gradient

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A Reynolds Stress Model for Low-Reynolds-Number Turbulence (저레이놀즈수 난류에 대한 레이놀즈 응력모델)

  • 김광용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.6
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    • pp.1541-1546
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    • 1993
  • To extend the widely used Gibson and Launder's second order closure model to the low-Reynolds-number region near a wall, modifications have been made for velocity pressure-gradient interaction and dissipation terms in the stress equations, and also for the dissipation rate equation. From the computation of fully developed plane channel flow, it is found that the results with present model agree well with the data of direct numerical simulation in the predictions of stress components. And, the computed mean velocity profile coincides with the universal velocity law.

Study on Internal Void Closure in Slab ingot during Hot Plate Forging (열간 판재단조시 강괴 내부의 기공폐쇄에 관한 연구)

  • 조종래;김동권;김영득;이부윤
    • Transactions of Materials Processing
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    • v.5 no.1
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    • pp.18-26
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    • 1996
  • In order to investigate the effect of pre-cooling of ingot on void closure in hot plate forging the internal strain and stress distributions are examined quantitatively by using ABAQUS. Simula-tions are carried out on a large slab ingot having the same temperature and the temperature gradient induced by air-cooling. It is shown that pre-cooling produces little effect on the strain behavior but remarkable effect on the hydrostatic stress at the central zone of ingot. The main factors for crushing micro-voids are the effective strain and the time integral of hydrostatic stress in the region surrounding the voids. Based on regression analysis it was found that the distortion of void can be expressed as a polynomial function of the two factors.

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A study for the residual strain of aluminum thin film for MEMS structures (MEMS용 구조물을 위한 알루미늄 박막의 잔류응력에 대한 연구)

  • Kim, Youn-Jin;Shin, Jong-Woo;Kim, Yong-Kweon
    • Proceedings of the KIEE Conference
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    • 1998.07g
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    • pp.2521-2523
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    • 1998
  • Freestanding flexible microstructures fabricated from deposited thin films become mechanically unstable when internal stresses exceed critical values. The residual stress and stress gradient of aluminum thin film were examined to make sure of fabricating the reproduceable aluminium structure. For good shape of micro mirror array and microstructures, the experiment was done varying thickness and deposition rate. As the aluminium film thickness increased from 0.8${\mu}m$ to 1.6${\mu}m$, the stress gradient decreased from 11.62MPa/${\mu}m$ to 2.62MPa/${\mu}m$. The residual stress values are from 42.4MPa to 62.24MPa of tensile stresses.

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A New Antistiction Method Using Polymer Suspension for Fabrication with Polysilicon Micromachining (다결정 실리콘 마이크로머시닝 제작 시 폴리머 지지를 이용한 옆 방향 정착방지 방법의 제안)

  • Lim, Hyung-Taek;Yoon, Choong-Hyun;Kim, Yong-Kweon
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3331-3333
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    • 1999
  • A novel antistiction method using photo resist is proposed and verified to improve the yield of polysilicon micromachining process. $7.5{\mu}m-thick$ polysilicon is used as a structural layer. Residual stress and stress gradient originated from polysilicon deposition with LPCVD process is relaxed by doping and thermal treatment. The stress gradient of stress-free polysilicon layer is $-0.755MPa/{\mu}m$.

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Thermo-mechanical vibration analysis of curved imperfect nano-beams based on nonlocal strain gradient theory

  • Ebrahimi, Farzad;Daman, Mohsen;Mahesh, Vinyas
    • Advances in nano research
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    • v.7 no.4
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    • pp.249-263
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    • 2019
  • In the current paper, an exact solution method is carried out for analyzing the thermo-mechanical vibration of curved FG nano-beams subjected to uniform thermal environmental conditions, by considering porosity distribution via nonlocal strain gradient beam theory for the first time. Nonlocal strain gradient elasticity theory is adopted to consider the size effects in which the stress for not only the nonlocal stress field but also the strain gradients stress field is considered. It is perceived that during manufacturing of functionally graded materials (FGMs) porosities and micro-voids can be occurred inside the material. Material properties of curved porous FG nanobeam are assumed to be temperature-dependent and are supposed to vary through the thickness direction of beam which modeled via modified power-law rule. Since variation of pores along the thickness direction influences the mechanical and physical properties, porosity play a key role in the mechanical response of curved FG nano-structures. The governing equations and related boundary condition of curved porous FG nanobeam under temperature field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is utilized to achieve the natural frequencies of porous FG curved nanobeam supposed to thermal loading. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality parameter, porosity volume fractions, thermal effect, gradient index, opening angle and aspect ratio on the natural frequency of curved FG porous nanobeam are successfully discussed. It is concluded that these parameters play key roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

The Comparison of Stiction Results of Anti-Stiction Methods for Polysilicon Surface Micromachining (다결정실리콘 표면 미세가공 기술을 위한 점착 방지법들의 성능 비교)

  • Lee, Youn-Jae;Han, Seung-Oh;Park, Jung-Ho
    • Journal of Sensor Science and Technology
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    • v.9 no.3
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    • pp.233-241
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    • 2000
  • This paper presents comparative results of various commonly used anti-stiction methods for polysilicon surface micromachining using identical test structures. Four different types of cantilevers - single cantilevers, cantilevers with dimples, cantilevers with anti-stiction tip, cantilevers with plate - with different widths and lengths were employed as test structures. The detachment length of cantilevers was examined depending on the anti-stiction methods and test structure types. After sacrificial layer was removed, evaporation and sublimation drying methods were used in the drying step when takes place the stiction between structure and substrate. Various final rinsing liquids such as methanol, IPA, and DI water were employed to compare anti-stiction results depending on surface tension and rinsing temperature. For sublimation drying method, methanol was used as an intermediate rinsing liquid. Also, the influence of a stress gradient of the polysilicon was investigated by performing the identical anti-stiction experiments on identical test structures with a stress gradient. In conclusion, sublimation drying method showed superior results to various evaporation drying methods and hence it is considered the best method for releasing polysilicon microstructure in polysilicon surface micromachining.

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Reduction of Skin Friction Force for Turbulent Boundary Layer (난류 경계층의 표면 마찰력 감소화)

  • Kim, Si-Young
    • Journal of Fisheries and Marine Sciences Education
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    • v.5 no.2
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    • pp.128-137
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    • 1993
  • This paper presents a new concept to reduce turbulent frictional drag by injecting micro-bubble into buffer layer of turbulent boundary layer on flat plate. The buffer layer of boundary was specified by minus velocity gradient of law of the wall. When the buffer layer region of turbulent boundary layer is filled with micro-bubble of air and viscous of the region is kept low, the velocity profile in the region should be changed substantially. Then the Reynolds stress in the buffer layer region becomes less, which guide to higher velocity gradient there. It results in reduction of velocity gradient at the viscous sublayer, which gives the reduction of shear stress at the wall.

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Finite Element Analysis for Micro-Forming Process Considering the Size Effect of Materials (소재 크기효과를 고려한 미세가공공정 유한요소해석)

  • Byon, S.M.;Lee, Y.
    • Transactions of Materials Processing
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    • v.15 no.8 s.89
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    • pp.544-549
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    • 2006
  • In this work, we have employed the strain gradient plasticity theory to investigate the effect of material size on the deformation behavior in metal forming process. Flow stress is expressed in terms of strain, strain gradient (spatial derivative of strain) and intrinsic material length. The least square method coupled with strain gradient plasticity was used to calculate the components of strain gradient at each element of material. For demonstrating the size effect, the proposed approach has been applied to plane compression process and micro rolling process. Results show when the characteristic length of the material comes to the intrinsic material length, the effect of strain gradient is noteworthy. For the microcompression, the additional work hardening at higher strain gradient regions results in uniform distribution of strain. In the case of micro-rolling, the strain gradient is remarkable at the exit section where the actual reduction of the rolling finishes and subsequently strong work hardening take places at the section. This results in a considerable increase in rolling force. Rolling force with the strain gradient plasticity considered in analysis increases by 20% compared to that with conventional plasticity theory.

A nonlocal strain gradient theory for scale-dependent wave dispersion analysis of rotating nanobeams considering physical field effects

  • Ebrahimi, Farzad;Haghi, Parisa
    • Coupled systems mechanics
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    • v.7 no.4
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    • pp.373-393
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    • 2018
  • This paper is concerned with the wave propagation behavior of rotating functionally graded temperature-dependent nanoscale beams subjected to thermal loading based on nonlocal strain gradient stress field. Uniform, linear and nonlinear temperature distributions across the thickness are investigated. Thermo-elastic properties of FG beam change gradually according to the Mori-Tanaka distribution model in the spatial coordinate. The nanobeam is modeled via a higher-order shear deformable refined beam theory which has a trigonometric shear stress function. The governing equations are derived by Hamilton's principle as a function of axial force due to centrifugal stiffening and displacement. By applying an analytical solution and solving an eigenvalue problem, the dispersion relations of rotating FG nanobeam are obtained. Numerical results illustrate that various parameters including temperature change, angular velocity, nonlocality parameter, wave number and gradient index have significant effect on the wave dispersion characteristics of the understudy nanobeam. The outcome of this study can provide beneficial information for the next generation researches and exact design of nano-machines including nanoscale molecular bearings and nanogears, etc.

Modeling the Hall-Petch Relation of Ni-Base Polycrystalline Superalloys Using Strain-Gradient Crystal Plasticity Finite Element Method (변형구배 결정소성 유한요소해석법을 이용한 니켈기 다결정 합금의 Hall-Petch 관계 모델링)

  • Choi, Yoon Suk;Cho, Kyung-Mox;Nam, Dae-Geun;Choi, Il-Dong
    • Korean Journal of Materials Research
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    • v.25 no.2
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    • pp.81-89
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    • 2015
  • A strain-gradient crystal plasticity constitutive model was developed in order to predict the Hall-Petch behavior of a Ni-base polycrystalline superalloy. The constitutive model involves statistically stored dislocation and geometrically necessary dislocation densities, which were incorporated into the Bailey-Hirsch type flow stress equation with six strength interaction coefficients. A strain-gradient term (called slip-system lattice incompatibility) developed by Acharya was used to calculate the geometrically necessary dislocation density. The description of Kocks-Argon-Ashby type thermally activated strain rate was also used to represent the shear rate of an individual slip system. The constitutive model was implemented in a user material subroutine for crystal plasticity finite element method simulations. The grain size dependence of the flow stress (viz., the Hall-Petch behavior) was predicted for a Ni-base polycrystalline superalloy NIMONIC PE16. Simulation results showed that the present constitutive model fairly reasonably predicts 0.2%-offset yield stresses in a limited range of the grain size.