• Title/Summary/Keyword: dynamic elastic constants

Search Result 27, Processing Time 0.027 seconds

Application of geophysical well logging to fracture identification and determination of in-situ dynamic elastic constants. (물리검층에 의한 파쇄대 인식과 동적 지반정수의 산출)

  • Hwang, Se-Ho;Lee, Sang-Kyu
    • 한국지구물리탐사학회:학술대회논문집
    • /
    • 1999.08a
    • /
    • pp.156-175
    • /
    • 1999
  • Recently the application of geophysical well logging to geotechnical site investigation is increasing, because the merit that geophysical logs provide the high resolution and in-situ physical properties in volumes of rock surrounding the borehole. Geophysical well logs are used to identify lithologic boundaries and fracture, to determine the physical properties of rock(i.e., density, velocity etc.), and to detect permeable fracture zones that could be conduits for ground water movement through the rocks. The principle of heat-pulse meter, the calibration of gamma-gamma logging, and principles and data processing of full waveform sonic logging are briefly reviewed, and the case studies of geophysical logs are discussed. Correlation between velocity by sonic logging and rock mass classification such as RMR(Rock Mass Rating) value is considered.

  • PDF

A Comparative study on Dynamic & Static elastic modulus of cement mortar specimens (시멘트 모르타르 재료의 동탄성계수와 정탄성계수 비교 연구)

  • O, Seon-Hwan;Kim, Hyoung-Soo;Jang, Bo-An;Suh, Man-Cheol
    • Journal of the Korean Geophysical Society
    • /
    • v.3 no.2
    • /
    • pp.127-138
    • /
    • 2000
  • This study was conducted to examine the differences between dynamic and static elastic constants by use of some laboratory tests of cement mortar specimens which have different water/cement mixing ratios. Specific gravity measurement, ultrasonic velocity estimating and uniaxial compression test were adopted to acquire the dynamic and static elastic constants. Digital data acquisition and processing enhanced the accuracy of estimating the velocities of specimens drastically, Also, the method using the gradient of propagation delay time in according to increment of specimen length more enhanced the accuracy than the method using the only one specimen length over total propagation time. The correlation between density and the P and S wave velocity of specimens shows reliable positive relation and the correlation between density and the strength of uniaxial compression has the similar relationship. The dynamic Young's modulus $(E_D)$ is alway greater than the static Young's modulus $(E_S)$ and there is increasing tendency of the ratio $(E_D/E_S)$ according to the increase of density or strength of the specimens. On the other hand, there is no typical relationship between dynamic Poisson's ratio $({\nu}_D)$ and static Poisson's ratio $({\nu}_S)$ and just the ratio of ${\nu}_D/{\nu}_S$ ranges front 69 to 122 %.

  • PDF

Differential Horizontal Stress Ratio for Danyang Limestone with Vertical Transversely Isotropy (횡적등방성 특성을 갖는 단양 석회암의 수평응력차비 고찰)

  • Jang, Seonghyung;Hwang, Seho;Shin, Jehyun;Kim, Tae Youn
    • Geophysics and Geophysical Exploration
    • /
    • v.20 no.4
    • /
    • pp.207-215
    • /
    • 2017
  • To develope shale play which is one of unconventional energy resources, horizontal drilling and hydraulic fracturing are necessary and those are applied to the place where the differential horizontal stress ratio (DHSR) is low. The differential horizontal stress ratio is generally calculated by the minimum and maximum horizontal stress, but it is also calculated from dynamic elastic constants and anisotropic parameters. In this study we analyzed anisotropic properties through the core samples from Danyang limestone and calculated DHSR. The three types of core samples shaped in three directions (vertical, parallel and 45 degree to bedding) were used for laboratory test. We measured P-, S-wave velocities, and density and then calculated dynamic elastic constants, compliance and DHSR. According to the results of the core sample analysis the calculated DHSR is 0.185. Thomsen parameters of the Danyang limestone used in this study are characterized by the P- and S-wave velocities varying along the bedding symmetry axis. It is observed that the DHSR value is more affected by the change in compliance value than the Poisson's ratio. It is necessary to measure SH-wave velocity for more correct petrophysical properties.

Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation

  • Mohamed, Nazira;Eltaher, Mohamed A.;Mohamed, Salwa A.;Seddek, Laila F.
    • Structural Engineering and Mechanics
    • /
    • v.70 no.6
    • /
    • pp.737-750
    • /
    • 2019
  • This paper investigates the static and dynamic behaviors of imperfect single walled carbon nanotube (SWCNT) modeled as a beam structure by using energy-equivalent model (EEM), for the first time. Based on EEM Young's modulus and Poisson's ratio for zigzag (n, 0), and armchair (n, n) carbon nanotubes (CNTs) are presented as functions of orientation and force constants. Nonlinear Euler-Bernoulli assumptions are proposed considering mid-plane stretching to exhibit a large deformation and a small strain. To simulate the interaction of CNTs with the surrounding elastic medium, nonlinear elastic foundation with cubic nonlinearity and shearing layer are employed. The equation governed the motion of curved CNTs is a nonlinear integropartial-differential equation. It is derived in terms of only the lateral displacement. The nonlinear integro-differential equation that governs the buckling of CNT is numerically solved using the differential integral quadrature method (DIQM) and Newton's method. The linear vibration problem around the static configurations is discretized using DIQM and then is solved as a linear eigenvalue problem. Numerical results are depicted to illustrate the influence of chirality angle and imperfection amplitude on static response, buckling load and dynamic behaviors of armchair and zigzag CNTs. Both, clamped-clamped (C-C) and simply supported (SS-SS) boundary conditions are examined. This model is helpful especially in mechanical design of NEMS manufactured from CNTs.

Analysis of Elastic Constants in SiC Particulate Reinforced Al Matrix Composites by Resonant Ultrasound Spectroscopy (초음파 공명 분광법(RUS)을 이용한 SiC 입자강화 Al 기지복합재료의 탄성계수 해석)

  • Jung, Hyun-Kyu;Cheong, Yong-Moo;Joo, Young-Sang;Hong, Soon-Hyung
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.19 no.3
    • /
    • pp.180-188
    • /
    • 1999
  • The dynamic elastic properties of metal matrix composites were investigated by resonant ultrasound spectroscopy(RUS). The composites used in this study consisted of 2124 aluminum alloy reinforced with different concentrations of SiC particles. RUS can determine the nine independent elastic stiffness($C_{ij}$) for the orthorhombic symmetry on a small specimen simultaneously. The elastic constants were determined as a function of the volume fraction. A concept of effective aspect ratio. which combine the aspect ratio and the orientation of reinforcement. was used to calculate the initial moduli from Mori-Tanaka theory for the input of RUS minimization code. Young's moduli can be obtained from the measured stiffnesses. The results show that the elastic stiffness increases with increment of the particle content. The behavior of elastic stiffness indicates that the particle redistribution induced by the extrusion process enlarges the transversely isotropic symmetry as the fraction of reinforced particles increase. This relationship could be used for determination of the volume fractions of reinforcement as a potential tool of nondestructive material characterization.

  • PDF

EQUIVALENT MATERIAL PROPERTIES OF PERFORATED PLATE WITH TRIANGULAR OR SQUARE PENETRATION PATTERN FOR DYNAMIC ANALYSIS

  • Jhung, Myung-Jo;Jo, Jong-Chull
    • Nuclear Engineering and Technology
    • /
    • v.38 no.7
    • /
    • pp.689-696
    • /
    • 2006
  • For a perforated plate, it is challenging to develop a finite element model due to the necessity of the fine meshing of the plate, especially if it is submerged in fluid. This necessitates the use of a solid plate with equivalent material properties. Unfortunately, the effective elastic constants suggested by the ASME code are deemed not valid for a modal analysis. Therefore, in this study the equivalent material properties of a perforated plate are suggested by performing several finite element analyses with respect to the ligament efficiencies.

Characterization of Dynamic Elastic Constants and Attenuation Coefficients of Fiber Reinforced Composites By Analysis of Elastic Wave Propagation (탄성파 전파의 해석을 통한 섬유강화 복합재료의 동탄성계수 및 감쇠계수의 파악)

  • 김진연
    • Proceedings of the Acoustical Society of Korea Conference
    • /
    • 1992.11a
    • /
    • pp.69-76
    • /
    • 1992
  • 섬유강화 복합재료의 동탄성계수와 감쇠특성을 규명하기 위하여 랜덤하게 분포된 무한 실린더 형상의 산란체를 가진 점탄성 매질내에서 , 축방향으로 분극되어 조화 운동을 하는 탄성파의 전파에 관하여 연구하였다. 다중 산란에 관한 이론으 이용하여 매질내에서의 파동전파 특성을 내포하는 분산관계식을 얻었다. 다중산란에 의한 실린더간의 상호작용을 수식화하기위하여 필요한 실린더의 쌍분포함수는 몬테카를로 모의 실험을 이용하여 구하였다. 수치적으로 구한 감쇠계수 및 유효전단강성을 주파수와 체적율의 함수로 제시하였다. 또한 감쇠계수의 주파수에 따른 변화에 있어서, 저주파에서는 매질의 점탄성 손실이 지배적이며, 고주파수로 갈수록 다중산란에 의한 손실이 지배적인 것으로 나타났다.

  • PDF

A Rate-Dependent Elastic Plastic Constitutive Equation in Finite Deformation Based on a Slip Model (슬립모델을 이용한 변형률의존 유한변형 탄소성재료의 구성방정식 개발)

  • 남용윤;김사수;이상갑
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 1994.04a
    • /
    • pp.181-188
    • /
    • 1994
  • Generally, the structural material shows rate dependent behaviors, which require to constitute different strain-stress relations according to strain rates. Conventional rate- independent constitutive equations used in general purpose finite analysis programs are inadequate for dynamic finite strain problems. In this paper, a rate dependent constitutive equation for elastic-plastic material was developed. The plastic stretch rate was modeled based on slip model with dislocation velocity and density so that there is no yielding condition, and no loading conditions. Non-linear hardening rule was also introduced for finite strain. Material constants of present constitutive equation were determined by experimental data of mild steel. The constitutive equation was applied to uniaxile tension. It was appeared that the present constitutive equation well simulates rate dependent behaviors of mild steel.

  • PDF

우주급 경통 열-흡습 설계

  • Lee, Deog-Gyu
    • Aerospace Engineering and Technology
    • /
    • v.4 no.1
    • /
    • pp.108-113
    • /
    • 2005
  • Strucutral and hygrothermal analysis for a composite tube is carried out in this study, that provides critical parameters for the design of a highly dimensionally stable space telescope. Carpet plots for laminate effective engineering constants are generated and used for the best tube lay-ups with high elastic modulus and highly insensitive to thermal and moisture expansion, which is essential for maintaining optical alignment of opto-mechanical system under random force applied during a launch campaign and orbital thermal load. Despace in the longitudinal direction under hygrothermal load of the tubes constructed with the selected lay-ups is calculated for the validation of lay-up designs on the dimensionalstability. Dynamic analysis is also carried out to feature the resonant behaviour. A zig-zag triangular element accurately representing through thickness stress variations for laminated structures is developed in this study and incorporated into the structural and hygrothermal analysis.

  • PDF

A study for multi thermal cycle effect on mechanical property change in carbon epoxy composite (탄소섬유 복합재료의 열사이클에 의한 물성치 변화에 관한 연구)

  • 최순권;박세만;박명균
    • Proceedings of the Korean Society For Composite Materials Conference
    • /
    • 2000.04a
    • /
    • pp.43-48
    • /
    • 2000
  • Composite materials have been increasingly used in automotive and aircraft industries, naturally leading to active researches on the materials. The carbon-epoxy composite is selected to study its thermal characteristics. During multiple thermal cycles composed of repeated cooling and heating variations of elastic constants are investigated to understand thermal effects on the carbon-epoxy composite. In this investigation longitudinal resonance method and flexural resonance method was used to characterize. The values of $E_1$ show small amount of increases depending on number of cycles of the thermal fatigue processes whereas values of $G_13$ do not indicate noticeable changes. Also, in cases of $E_2$ and $G_23$ their values decrease to a certain extend in initial stages after applications of thermal fatigue processes. However, the number of cycles of the applied thermal fatigue processes does not seem to affect their values.

  • PDF