• Title/Summary/Keyword: 탄성장

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A Study on the Dynamic Stress Intensity Factor of Orthotropic Materials(II) A Study on the Stress Field, Displacement Field and Energy Release Rate in the Dynamic Mode III under Constant Crack Propagation Velocity (직교 이방성체의 동적 응력확대계수에 관한 연구 (II) 등속균열전파 속도하에서 동적모드 III 상태의 응력장, 변위장, 에너지해방률에 관한 연구)

  • 이광호;황재석;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.331-341
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    • 1993
  • The propagating crack problems under dynamic antiplane mode in orthotropic material is studied in this paper. To analyze the dynamic fracture problems by theoretical method or experimental method in orthotropic material, it is important to know the dynamic stress intensity factor in the vicinity of crack tip. Therefore the dynamic stress field and dynamic displacement field with dynamic stress intensity factor of orthotropic material in mode III were derived. When the crack propagation speed approachs to zero, the dynamic stress components and dynamic displacement components derived in this paper are identical to the those of static state. In addition, the relationships between dynamic stress intensity factor and dynamic energy release rate are determined by using the concept of crack closure energy with the dynamic stresses and dynamic displacements derived in this paper. Finally, the characteristics of crack propagation are studied with the properties of orthotropic material and crack speed. The variation of angle .alpha. between fiber direction and crack propagating direction and crack propagation speed fairly effect on stress component and displacement component in crack tip. The influence of crack propagation speed on the speed on the stress and displacement is greater in the case of .alpha.=90.deg. than in the case of .alpha.=0.deg. and the faster the crack propagation speed, the greater the stress value and displacement value.

Damped Wave Equation-based Traveltime Calculation using Embedded Boundary Method for Irregular Topography (Embedded Boundary Method를 이용한 불규칙한 지형에서의 감쇠 파동장 기반 초동주시 계산)

  • Hwang, Seongcheol;Lee, Ganghoon;Pyun, Sukjoon
    • Geophysics and Geophysical Exploration
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    • v.22 no.1
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    • pp.12-20
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    • 2019
  • The first-arrival traveltime calculation method based on the damped wave equation overcomes the shortcomings of ray-tracing methods. Since this algorithm needs to solve the damped wave equation, numerical modeling is essential. However, it is not desirable to use the finite-difference method (FDM), which has good computational efficiency, for simulating the land seismic data because of irregular topography. Thus, the finite-element method (FEM) which requires higher computational cost than FDM has been used to correctly describe the irregular topography. In this study, we computed first-arrival traveltimes in an irregular topographic model using FDM incorporating embedded boundary method (EBM) to overcome this problem. To verify the accuracy and efficiency of the proposed algorithm, we compared our results with those of FEM. As a result, the proposed method using EBM not only provided the same accuracy as the FEM but also showed the improved computational efficiency.

Sensitivity Analysis of Linear Elastic Problem due to Variations of the Traction Boundary Conditions (하중경계조건의 변화에 대한 선형탄성문제의 민감도 해석)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.6
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    • pp.1852-1860
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    • 1991
  • A shape design sensitivity of the elastic deformation due to a change of traction boundary condition is presented. The solution of governing equations for a linear elasticity problem is obtained by finite element method and the traction boundary is defined by design variables. The performance functional to be considered involves both the domain and boundary integral. Variations of geometry can be defined as design velocity. Using material derivative concept and adjoint equations, the design sensitivity is derived by Lagrange multiplier method. For a given geometry of a structure, the change of traction boundary is described by the tangential component of the design velocity only. The final result for the shape design sensitivity is formulated as the boundary integral form, the integrand is defined by tangential component of design velocity and first order derivatives of parameters. Numerical implementation of design sensitivity is discussed and is compared with the difference of the actual values.

A Theoretical and Numerical Study on the Effects of Prereinforcement of Tunnel Face (터널막장 선행보강 효과에 관한 이론적.수치해석적 연구)

  • 김광진;문현구
    • Tunnel and Underground Space
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    • v.11 no.4
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    • pp.328-338
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    • 2001
  • Horizontal tunnel face reinforcement using Fiber Glass Tube(FGT) or steel pipe and pipe roofing techniques are frequently used when the stability of newly excavated tunnel is not guaranteed. However, the mechanical behavior of tunnels using these techniques has not been fully understood so far. Therefore, engineering rule of thumb is commonly applied during designing procedure, and it is difficult to adopt these techniques rationally. In this study, the application of a simplified numerical analysis method based on composite mechanics is verified. The mean field theory and the strain energy theory are used to obtain the equivalence elastic moduli of reinforced soil and rock. Furthermore, a parametric study on the deformational behavior of tunnel face is performed for various patterns of prereinforcement.

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Performance Evaluation of Seismic Isolation using Ball Bearing (볼 베이링을 이용한 면진장치의 성능평가)

  • Chang, Chun-Ho;Jang, Kwang-Seok;Lee, Young-Seok;Yeo, Sang-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.71-74
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    • 2011
  • 최근 국제적으로 지진 발생 규모가 증대하고 있으며, 우리나라를 비롯한 많은 나라에서 구조물 및 주요 시설물에 대한 내진설계에 관심이 증대되고 있다. 지진방재는 건물자체의 안전성뿐만 아니라 내부설비 및 소장품에 대한 안전성까지 종합적으로 검토되어야 하며 이를 위한 대책이 필요한 실정이다. 본 연구의 주요목적은 예측 불가한 자연재해인 지진에 대해 일반적인 면진성능을 갖는 기초격리장치로서의 기능을 충실히 수행할 수 있는지를 확인하기 위하여 면진장치를 사용한 구조물의 면진효과를 검증하는 것이다. 또한 설계된 스프링의 탄성계수에 따른 실제 지진 시 응답의 차이를 알아보기 위하여 공진실험 및 진동대 실험을 실시하여 면진테이블 시스템의 면진성능을 평가하였다. 진동대 실험은 미국 "NEBS Requirements"에서 규정하는 요구응답스펙트럼에 상응하는 임의 지진파를 적용하였고 각각 x축과 z축 가진 후, x-y-z 축을 동시에 가진하여 수행하였다. 시험응답스펙트럼(Test Response Spectrum)은 요구응답스펙트럼(RRS)에 포락하도록 시험하여 최대가속도는 x축 방향 가진 시 90%의 감쇠효과가 나타났으며, 3축 방향 가진 시 x축 방향은 58%, y축 방향은 31%의 감쇠효과가 나타났다. 최대상대변위는 설계스트로크 140mm에 대하여 최대 85.54mm의 변위가 발생하여 안정적인 거동을 나타내었다. 본 연구에서 제안한 면진테이블 시스템은 중요 첨단장비 및 문화재 등의 전도 및 파괴를 방지하는 데 효과적일 것으로 판단된다.

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Velocity Change of Magneto Surface Acoustic Wave (MSAW) in $({Fe_{1-x}}{Co_x})_{89}{Zr_{11}}$ Amorphous Films (I) ($({Fe_{1-x}}{Co_x})_{89}{Zr_{11}}$비정질 자성 막에서의 자기표면탄성파 속도변화 (I))

  • Kim, Sang-Won
    • Korean Journal of Materials Research
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    • v.11 no.6
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    • pp.477-482
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    • 2001
  • The velocity changes of magneto surface acoustic wave (MSAW) have been investigated in the MSAW devices composed of wedge type transducer and as-sputtered ($Fe_{1-x}$ $Co_{x}$ )$_{89}$ $Zr_{ 11}$ (x=0~1.0)amorphous films on glass substrates. The velocity changes of devices depended sensistively on exciting frequency of MSAW, applying the DC bias magnetic field. film thickness and film composition. Particularly. it was conformed that velocity changes increased with the increase of the exciting frequency of MSAW and the thickness of magnetic films. A device deposited x= 0.8 film along the MSAW propagation direction among the devices exhibited a large velocity change of 0.062% at 8.7 MHz for the applied field of 70 Oe.

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Shear Strength Evaluation in Masonry Assemblages by Reinforcing Materials in Joint (줄눈 보강을 통한 면내 방향의 조적조 사인장 전단강도 평가)

  • Woo, Jong-Hun;Shin, Kyung-Jae;Lee, Jun-Seop;Han, Seung-Yun
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.9
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    • pp.191-198
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    • 2019
  • All over the Republic of Korea, there are many masonry buildings which have been built since 1970s. When the earthquake at Po-Hang occurred, this is the main cause of huge damage because the masonry buildings have not seismic capacity. When masonry buildings are failed, two type of the failure modes can be shown, which are in-plane mode and out-plane mode. In-plane mode can have seismic capacity in masonry so diagonal shear test is performed in this study. The purpose of this study was to find the best way to reinforce the materials through the diagonal shear test. Through the test, shear stress and shear modulus of elasticity will be calculated, referred to the ASTM E 519-02. The variables in this test are ${\phi}3$ wire, three types of wire meshes, polypropylene strap and different types of brick. Each variable is applied to the same condition of the $1.2m{\times}1.2m$ masonry walls which are made by ASTM E 519-02. Compared to each variable with shear stress and shear modulus of elasticity, the best way of reinforcing method to have seismic capacity will be proved in this study.

Full Waveform Inversion Using Automatic Differentiation (자동 미분을 이용한 전파형 역산)

  • Wansoo, Ha
    • Geophysics and Geophysical Exploration
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    • v.25 no.4
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    • pp.242-251
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    • 2022
  • Automatic differentiation automatically calculates the derivatives of a function using the chain rule once the forward operation of a function is defined. Given the recent development of computing libraries that support automatic differentiation, many researchers have adopted automatic differentiation techniques to solve geophysical inverse problems. We analyzed the advantages, disadvantages, and performances of automatic differentiation techniques using the gradient calculations of seismic full waveform inversion objective functions. The gradients of objective functions can be expressed as multiplications of the derivatives of the model parameters, wavefields, and objective functions using the chain rule. Using numerical examples, we demonstrated the speed of analytic differentiation and the convenience of complex gradient calculations for automatic differentiation. We calculated derivatives of model parameters and objective functions using automatic differentiation and derivatives of wavefields using analytic differentiation.

Physical Properties of and Joint Distribution Within the Cheongju Granitic Mass, as Assessed from Drill-core and Geophysical Well-logging Data (시추 및 물리검층자료의 상관해석을 통한 청주화강암체의 물성 정보 및 절리 분포)

  • Lee, Sun-Jung;Lee, Cheol-Hee;Jang, Hyung-Su;Kim, Ji-Soo
    • The Journal of Engineering Geology
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    • v.21 no.1
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    • pp.15-24
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    • 2011
  • To clarify the distribution of joints and fracture zones in the Cheongju granitic mass, we analyzed drill-core and geophysical well-logging data obtained at two boreholes located 30 m from each other. Lithological properties were investigated from the drill-core data and the samples were classified based on the rock mass rating (RMR) and on rock quality designation (RQD). Subsurface discontinuities within soft and hard rocks were examined by geophysical well-logging and cross-hole seismic tomography. The velocity structures constructed from seismic tomography are well correlated with the profile of bedrock depth, previously mapped from a seismic refraction survey. Dynamic elastic moduli, obtained from full waveform sonic and ${\gamma}-{\gamma}$ logging, were interrelated with P-wave velocities to investigate the dynamic properties of the rock mass. Compared with the correlation graph between elastic moduli and velocities for hard rock at borehole BH-1, the correlation points for BH-2 data showed a wide scatter. These scattered points reflect the greater abundance of joints and fractures near borehole BH-2. This interpretation is supported by observations by acoustic televiewer (ATV) and optical televiewer (OTV) image loggings.

STRESS DISTRIBUTION OF ENDODONTICALLY TREATED MAXILLARY SECOND PREMOLARS RESTORED WITH DIFFERENT METHODS: THREE-DIMENSIONAL FINITE ELEMENT ANALYSIS (상이한 방법으로 수복한 근관치료된 상악 제2소구치의 응력분포: 3차원 유한요소법적 분석)

  • Lim, Dong-Yeol;Kim, Hyeon-Cheol;Hur, Bock;Kim, Kwang-Hoon;Son, Kwon;Park, Jeong-Kil
    • Restorative Dentistry and Endodontics
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    • v.34 no.1
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    • pp.69-79
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    • 2009
  • The purpose of this study was to evaluate the influence of elastic modulus of restorative materials and the number of interfaces of post and core systems on the stress distribution of three differently restored endodontically treated maxillary second premolars using 3D FE analysis. Model 1, 2 was restored with a stainless steel or glass fiber post and direct composite resin. A PFG or a sintered alumina crown was considered. Model 3 was restored by EndoCrown. An oblique 500 N was applied on the buccal (Load A) and palatal (Load B) cusp. The von Mises stresses in the coronal and root structure of each model were analyzed using ANSYS. The elastic modulus of the definitive restorations rather than the type of post and core system was the primary factor that influenced the stress distribution of endodontically treated maxillary premolars. The stress concentration at the coronal structure could be lowered through the use of definitive restoration of high elastic modulus. The stress concentration at the root structure could be lowered through the use of definitive restoration of low elastic modulus.