• Title/Summary/Keyword: Micro-mechanical model

Search Result 448, Processing Time 0.027 seconds

An asymptotic multi-scale approach for beams via strain gradient elasticity: surface effects

  • Kim, Jun-Sik
    • Multiscale and Multiphysics Mechanics
    • /
    • v.1 no.1
    • /
    • pp.15-33
    • /
    • 2016
  • In this paper, an asymptotic method is employed to formulate nano- or micro-beams based on strain gradient elasticity. Although a basic theory for the strain gradient elasticity has been well established in literature, a systematic approach is relatively rare because of its complexity and ambiguity of higher-order elasticity coefficients. In order to systematically identify the strain gradient effect, an asymptotic approach is adopted by introducing the small parameter which represents the beam geometric slenderness and/or the internal atomistic characteristic. The approach allows us to systematically split the two-dimensional strain gradient elasticity into the microscopic one-dimensional through-the-thickness analysis and the macroscopic one-dimensional beam analysis. The first-order beam problem turns out to be different from the classical elasticity in terms of the bending stiffness, which comes from the through-the-thickness strain gradient effect. This subsequently affects the second-order transverse shear stress in which the surface shear stress exists. It is demonstrated that a careful derivation of a first strain gradient elasticity embraces "Gurtin-Murdoch traction" as the surface effect of a one-dimensional Euler-Bernoulli-like beam model.

On the Experimental Modeling of Focal Plane Compensation Device for Image Stabilization of Small Satellite (소형위성 광학탑재체의 영상안정화를 위한 초점면부 보정장치의 실험적 모델링에 관한 연구)

  • Kang, Myoung-Soo;Hwang, Jai-Hyuk;Bae, Jae-Sung;Park, Jean-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.43 no.8
    • /
    • pp.757-764
    • /
    • 2015
  • Mathematical modeling of focal plane compensation device in the small earth-observation satellite camera has been conducted experimently for compensation of micro-vibration disturbance. The PZT actuators are used as control actuators for compensation device. It is quite difficult to build up mathematical model because of hysteresis characteristic of PZT actuators. Therefore, the compensation device system is assumed as a $2^{nd}$ order linear system and modeled by using MATLAB System Identification Toolbox. It has been found that four linear models of compensation device are needed to meet 10% error in the input frequency range of 0~50Hz. These models describe accurately the dynamics of compensation device in the 4 divided domains of the input frequency range of 0~50Hz, respectively. Micro-vibration disturbance can be compensated by feedback control strategy of switching four models appropriately according to the input frequency.

HEAT TRANSFER ENHANCEMENT IN CHANNEL FLOW BY A STREAMWISE-PERIODIC ARRAY OF CIRCULAR CYLINDERS (주기적으로 배열된 원형 실린더를 이용한 채널 유동의 열전달 증진)

  • Jeong, Taekyeong;Yang, Kyung-Soo;Lee, Kyongjun;Kang, Changwoo
    • Journal of computational fluids engineering
    • /
    • v.18 no.2
    • /
    • pp.85-92
    • /
    • 2013
  • In this study, we consider heat transfer enhancement in laminar channel flow by means of an infinite streamwise array of equispaced identical circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall. An immersed boundary method was employed to facilitate to implement the cylinders on a Cartesian grid system. No-slip condition is employed at all solid boundaries including the cylinders, and the flow is assumed to be periodic in the streamwise direction. Also, the Prandtl number is fixed as 0.7. For thermal boundary conditions on the solid surfaces, it is assumed that heat flux is constant on the channel walls, while the cylinder surfaces remain adiabatic. The presence of the circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to heat transfer enhancement on the channel walls. The Nusselt number averaged on the channel wall is presented for the wide ranges of Reynolds number and the gap. A significant heat transfer enhancement is noticed when the gap is larger than 0.8, while the opposite is the case for smaller gaps. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of varying the gap to enhance heat transfer from the channel walls.

Heat Transfer Enhancement in Channel Flow by a Streamwise-Periodic Array of Rotating Circular Cylinders (주기적으로 배열된 회전하는 원형 실린더를 이용한 채널유동의 열전달 증진)

  • Jeong, Taekyeong;Yang, Kyung-Soo
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.38 no.12
    • /
    • pp.999-1008
    • /
    • 2014
  • In this study, we consider the heat transfer characteristics of channel flow in the presence of an infinite streamwise array of equispaced identical rotating circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall for some selected angular speeds. The presence of the rotating circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to heat transfer enhancement on the channel walls. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of varying the gap to enhance heat transfer from the channel walls.

Thermal buckling analysis of magneto-electro-elastic porous FG beam in thermal environment

  • Ebrahimi, Farzad;Jafari, Ali;Selvamani, Rajendran
    • Advances in nano research
    • /
    • v.8 no.1
    • /
    • pp.83-94
    • /
    • 2020
  • An analytical formulation and solution process for the buckling analysis of porous magneto-electro-elastic functionally graded (MEE-FG) beam via different thermal loadings and various boundary conditions is suggested in this paper. Magneto electro mechanical coupling properties of FGM beam are taken to vary via the thickness direction of beam. The rule of power-law is changed to consider inclusion of porosity according to even and uneven distribution. Pores possibly occur inside FGMs due the result of technical problems that lead to creation of micro-voids in these materials. Change in pores along the thickness direction stimulates the mechanical and physical properties. Four-variable tangential-exponential refined theory is employed to derive the governing equations and boundary conditions of porous FGM beam under magneto-electrical field via Hamilton's principle. An analytical model procedure is adopted to achieve the non-dimensional buckling load of porous FG beam exposed to magneto-electrical field with various boundary conditions. In order to evaluate the influence of thermal loadings, material graduation exponent, coefficient of porosity, porosity distribution, magnetic potential, electric voltage and boundary conditions on the critical buckling temperature of the beam made of magneto electro elastic FG materials with porosities a parametric study is presented. It is concluded that these parameters play remarkable roles on the buckling behavior of porous MEE-FG beam. The results for simpler states are proved for exactness with known data in the literature. The proposed numerical results can serve as benchmarks for future analyses of MEE-FG beam with porosity phases.

Computational optimized finite element modelling of mechanical interaction of concrete with fiber reinforced polymer

  • Arani, Khosro Shahpoori;Zandi, Yousef;Pham, Binh Thai;Mu'azu, M.A.;Katebi, Javad;Mohammadhassani, Mohammad;Khalafi, Seyedamirhesam;Mohamad, Edy Tonnizam;Wakil, Karzan;Khorami, Majid
    • Computers and Concrete
    • /
    • v.23 no.1
    • /
    • pp.61-68
    • /
    • 2019
  • This paper presents a computational rational model to predict the ultimate and optimized load capacity of reinforced concrete (RC) beams strengthened by a combination of longitudinal and transverse fiber reinforced polymer (FRP) composite plates/sheets (flexure and shear strengthening system). Several experimental and analytical studies on the confinement effect and failure mechanisms of fiber reinforced polymer (FRP) wrapped columns have been conducted over recent years. Although typical axial members are large-scale square/rectangular reinforced concrete (RC) columns in practice, the majority of such studies have concentrated on the behavior of small-scale circular concrete specimens. A high performance concrete, known as polymer concrete, made up of natural aggregates and an orthophthalic polyester binder, reinforced with non-metallic bars (glass reinforced polymer) has been studied. The material is described at micro and macro level, presenting the key physical and mechanical properties using different experimental techniques. Furthermore, a full description of non-metallic bars is presented to evaluate its structural expectancies, embedded in the polymer concrete matrix. In this paper, the mechanism of mechanical interaction of smooth and lugged FRP rods with concrete is presented. A general modeling and application of various elements are demonstrated. The contact parameters are defined and the procedures of calculation and evaluation of contact parameters are introduced. The method of calibration of the calculated parameters is presented. Finally, the numerical results are obtained for different bond parameters which show a good agreement with experimental results reported in literature.

The influence of MgO on the radiation protection and mechanical properties of tellurite glasses

  • Hanfi, M.Y.;Sayyed, M.I.;Lacomme, E.;Akkurt, I.;Mahmoud, K.A.
    • Nuclear Engineering and Technology
    • /
    • v.53 no.6
    • /
    • pp.2000-2010
    • /
    • 2021
  • Mechanical moduli, such as Young's modulus (E), Bulks modulus (B), Shear modulus (S), longitudinal modulus (L), Poisson's ratio (σ) and micro Hardness (H) were theoretically calculated for (100-x)TeO2+x MgO glasses, where x = 10, 20, 30, 40 and 45 mol%, based on the Makishima-Mackenzie model. The estimated results showed that the mechanical moduli and the microhardness of the glasses were improved with the increase of the MgO contents in the TM glasses, while Poisson's ratio decreased with the increase in MgO content. Moreover, the radiation shielding capacity was evaluated for the studied TM glasses. Thus, the linear attenuation coefficient (LAC), mass attenuation coefficient (MAC), transmission factor (TF) and half-value thickness (𝚫0.5) were simulated for gamma photon energies between 0.344 and 1.406 MeV. The simulated results showed that glass TM10 with 10 mol % MgO possess the highest LAC and varied in the range between 0.259 and 0.711 cm-1, while TM45 glass with 45 mol % MgO possess the lowest LAC and vary in the range between 0.223 and 0.587 cm-1 at gamma photon energies between 0.344 and 1.406 MeV. Furthermore, the BXCOM program was applied to calculate the effective atomic number (Zeff), equivalent atomic number (Zeq) and buildup factors (EBF and EABF) of the glasses. The effective removal cross-section for the fast neutrons (ERCSFN, ∑R) was also calculated theoretically. The received data depicts that the lowest ∑R was achieved for TM10 glasses, where ∑R = 0.0193 cm2 g-1, while TM45 possesses the highest ERCSFN where ∑R = 0.0215 cm2 g-1.

A Study on the Injection Mold with Superhydrophobic Surface Properties Using Nanosecond Laser Machining (나노초 레이저 가공을 활용한 초소수 표면 특성을 가지는 사출 금형에 관한 연구)

  • Jung-Rae Park;Hye-Jin Kim;Ji-Young Park;Si-Myung Sung;Seo-Yeon Hong;Ki-Hyeok Song
    • Design & Manufacturing
    • /
    • v.17 no.3
    • /
    • pp.48-54
    • /
    • 2023
  • In this study, an injection mold with ultra-small surface properties was manufactured using nanosecond laser processing. A superhydrophobic characteristic analysis was performed on the PET specimen manufactured through this. To this end, a hydrophobic pattern was defined using the Cassie-Baxter model. The defined features were selected with a spot diameter of 25um and pitch spacing of 30um and 35um. As a result of the basic experiment, it was confirmed that the fine pattern shape had an aspect ratio of 1:1 when the pitch interval was 35um and 20 iterations. Through the determined processing conditions, a hydrophobic pattern was implemented on the core surface of KP4. A specimen with a hydrophobic pattern was produced through injection molding. The height of the molded hydrophobic pattern is 20 ㎛ less than the depth of the core and the contact angle measurement results are 92.1°. This is a contact angle smaller than the superhydrophobic criterion. Molding analysis was performed to analyze the cause of this, and it was analyzed that the molding was not molded due to the lack of pressure in the injection machine.

Predictions of Phonon and Electron Contributions to Thermal Conductivity in Silicon Films with Varying Doping Density (박막 실리콘 내 도핑 농도 변화에 따른 포논과 전자의 열전도율 기여도에 대한 수치해석)

  • Jin, Jae-Sik;Lee, Joon-Sik
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.2182-2187
    • /
    • 2007
  • The relative contributions of phonon and electron to the thermal conductivity of silicon film with varying doping density are evaluated from the modified electron-phonon interaction model, which is applicable to the micro/nanoscale simulation of energy transport between energy carriers. The thermal conductivities of intrinsic silicon layer thicknesses from 20 nm to 500 nm are calculated and extended to the variation in n-type doping densities from 1.0 ${\times}$ $10^{18}$ to 5.0 ${\times}$ $10^{20}$ $cm^{-3}$, which agree well with the experimental data and theoretical model. From simulation results, the phonon and electron contributions to thermal conductivity are extracted. The electron contribution in the silicon is found to be not negligible above $10^{19}$ $cm^{-3}$, which can be classified as semimetal or metal by the value of its electrical resistivity at room temperature. The thermal conductivity due to electron is about 57.2% of the total thermal conductivity at doping concentration 5.0 ${\times}$ $10^{20}$ $cm^{-3}$ and silicon film thickness 100 nm.

  • PDF

Creep Analysis of Type 316LN Stainless Steel by Reference Stress Concept (참조응력 개념에 의한 316LN 강의 크리프 해석)

  • Kim, Woo-Gon;Kim, Dae-Whan;Ryu, Woo-Seog
    • Proceedings of the KSME Conference
    • /
    • 2001.11a
    • /
    • pp.123-128
    • /
    • 2001
  • The creep constants which are used to the reference stress equations of creep damage were obtained to type 316LN stainless steel, and their determining methods were described in detail. Typical Kachanov and Rabotnov(K-R) creep damage model was modified into the damage equations with reference stress concepts, and the modified equations were applied practically to type 316LN stainless steel. In order to determine the reference stress value, a series of high-temperature tensile tests and creep tests were accomplished at $550^{\circ}C$ and $600^{\circ}C$. By using the experimental creep data, the creep constants used in reference stress equations could be obtained to type 316LN stainless steel, and a creep curve on rupture strain was predicted. The reference stress concept on creep damage can be utilized easily as a design tool to predict creep life because the process, which is quantified by the measurement of voids or micro cracks during creep, is omitted.

  • PDF