• 비파괴검사학회지
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• 제33권3호
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• pp.276-282
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• 2013

This paper proposes an ultrasonic method for measurement of linear and hysteretic interfacial stiffness of contacting surfaces between two steel plates subjected to nominal compression pressure. Interfacial stiffness was evaluated by the reflection and transmission coefficients obtained from three consecutive reflection waves from solid-solid surface using the shear wave. A nonlinear hysteretic spring model was proposed and used to define the quantitative interfacial stiffness of interface with the reflection and transmission coefficients. Acoustic model for 1-D wave propagation across interfaces is developed to formulate the reflection and transmission waves and to determine the linear and nonlinear hysteretic interfacial stiffness. Two identical plates are put together to form a contacting surface and pressed by bolt-fastening to measure interfacial stiffness at different states of contact pressure. It is found from experiment that the linear and hysteretic interfacial stiffness are successfully determined by the reflection and transmission coefficient at the contact surfaces through ultrasonic pulse-echo measurement.

• 비파괴검사학회지
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• 제28권6호
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• pp.504-511
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• 2008

This paper proposes an ultrasonic measurement method for measurement of linear interfacial stiffness of contacting surface between two steel plates subjected to nominal compression pressures. Interfacial stiffness was evaluated by using shear waves reflected at contact interface of two identical solid plates. Three consecutive reflection waves from solid-solid surface are captured by pulse-echo method to evaluate the state of contact interface. A non-dimensional parameter defined as the ratio of their peak-to-peak amplitudes are formulated and used to calculate the quantitative stiffness of interface. Mathematical model for 1-D wave propagation across interfaces is developed to formulate the reflection and transmission waves across the interface and to determine the interfacial stiffness. Two identical plates are fabricated and assembled to form contacting surface and to measure interfacial stiffness at different states of contact pressure by means of bolt fastening. It is found from experiment that the amplitude of interfacial stiffness is dependent on the pressure and successfully determined by employing pulse-echo ultrasonic method without measuring through-transmission waves.

• 비파괴검사학회지
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• 제30권6호
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• pp.578-586
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• 2010

This paper describes a theoretical model and acoustic analysis of hysteresis of contacting surfaces subject to compression pressure. Contacting surfaces known to be nonlinear and hysteretic is considered as a simple spring that has a complex stiffness connecting discontinuous displacements between two solid contact boundaries. Mathematical formulation for 1-D interfacial wave propagation between two contacting solids is developed using the complex spring model to derive the dispersion relation between the interface wave speed and the complex interfacial stiffness. Existence of the interface wave propagating along the hysteretic interface is studied in theory and discussed by investigating the solution to the dispersion equation. Unlike the linear interface without hysteresis, there can exist only one distinct mode of interface waves for the hysteretic interface, which is anti-symmetric motion. The anti-symmetric mode of interface wave propagates with the velocity faster than the Rayleigh surface wave but less than the shear wave depending on the interfacial stiffness. If the contacting surfaces are compressed so much that the linear interfacial stiffness is very high, the hysteretic stiffness does not affect the interface wave velocity. However, it has an effect on the speed of interface wave for a loosely contact surfaces with a relatively low linear stiffness. It is also found that the phase velocity of anti-symmetric wave mode converges to the shear wave velocity in despite of the linear stiffness value if the hysteretic stiffness approaches 0.5.

• 한국터널지하공간학회 논문집
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• 제21권6호
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• pp.861-874
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• 2019

최근 발생한 포항과 경주 지진 이후 공동구와 같은 소단면 터널 구조물에 대한 내진 성능 평가에 대한 관심이 증가하고 있다. 이 연구에서는 유한 차분법 기반의 FLAC3D를 사용하여 지진 하중에 대한 수직구와 수평 터널 구조물에 대한 3차원 동적 해석을 수행하였다. 특히 지반과 구조물 사이 경계면 특성을 고려한 지반-구조물 상호 해석 시 중요 인자인 경계면 강성 계수의 영향을 분석하기 위한 매개변수 해석을 수행하였다. 매개변수 해석을 통해 경계면 강성 계수는 지하 구조물의 전체 동적 거동에는 큰 영향을 미치지 않지만 접속부의 국부적인 변위 거동에는 큰 영향을 미치는 것을 확인 할 수 있었다. 경계면 강성계수의 크기는 접속부에서의 변위와 반비례하는 경향을 보였으며, 수직 응력 및 전단 응력에 대해서는 비례하는 경향을 확인하였다. 연구 결과 수치 해석에서 주로 사용되고 있는 경계면 강성 계수에 대한 경험적 식의 한계를 제시할 수 있었으며, 새로운 경계면 강성 계수 모델 개발의 필요성을 확인하였다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2004년도 춘계학술발표회
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• pp.407-414
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• 2004

Interfacial properties between rock mass and shotcrete play a significant role in the transmission of loads from the ground to shotcrete. These properties have a major effect on the behaviours of rock mass and shotcrete. They, however, have merely been assumed in most of numerical analyses, and little care has been taken in identifying them. This paper aimed to identify interfacial properties including cohesion, tension, friction angle, shear stiffness, and normal stiffness, through direct shear tests as well as interface normal compression tests for shotcrete/rock cores obtained from a tunnel sidewall. Mechanical properties such as compression strength and elastic modulus were also measured to compare them with the time-dependent variation of interfacial properties. Based on experiments, interfacial properties between rock and shotcrete showed a significant time-dependent variation similar to those of its mechanical properties. In addition, the time-dependent behaviours of interfacial properties can be well regressed through exponential and logarithmic functions of time.

• Interaction and multiscale mechanics
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• 제2권3호
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• pp.321-332
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• 2009

Recent development in composites containing phase-transforming particles, such as vanadium dioxide or barium titanate, reveals the overall stiffness and viscoelastic damping of the composites may be unbounded (Lakes et al. 2001, Jaglinski et al. 2007). Negative stiffness is induced from phase transformation predicted by the Landau phase transformation theory. Although this unbounded phenomenon is theoretically supported with the composite homogenization theory, detailed stress analyses of the composites are still lacking. In this work, we analyze the stress distribution of the Hashin-Shtrikman (HS) composite and its two-dimensional variant, namely a circular inclusion in a square plate, under the assumption that the Young's modulus of the inclusion is negative. Assumption of negative stiffness is a priori in the present analysis. For stress analysis, a closed form solution for the HS model and finite element solutions for the 2D composite are presented. A static loading condition is adopted to estimate the effective modulus of the composites by the ratio of stress to average strain on the loading edges. It is found that the interfacial stresses between the circular inclusion and matrix increase dramatically when the negative stiffness is so tuned that overall stiffness is unbounded. Furthermore, it is found that stress distributions in the inclusion are not uniform, contrary to Eshelby's theorem, which states, for two-phase, infinite composites, the inclusion's stress distribution is uniform when the shape of the inclusion has higher symmetry than an ellipse. The stability of the composites is discussed from the viewpoint of deterioration of perfect interface conditions due to excessive interfacial stresses.

• 한국지반공학회논문집
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• 제20권5호
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• pp.79-86
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• 2004

지반과 숏크리트 사이의 인터페이스 특성은 지반하중이 숏크리트 라이닝에 전달되는 과정에서 중요한 역할을 한다. 또한 인터페이스 특성은 지반 및 숏크리트 라이닝의 거동에 상당한 영향을 미친다. 그러나 대부분의 수치 해석적 연구에서는 이러한 인터페이스 특성을 단순히 가정하여 적용해 왔으며 이를 규명하기 위한 시도도 거의 이루어지지 않았다. 따라서 본 연구에서는 터널 측벽에서 회수된 숏크리트/암석 코어에 대해 직접전단시험과 인터페이스 수직압축시험을 실시하여 점착력, 인장강도, 마찰각, 전단강성 및 수직강성과 같은 인터페이스 특성을 규명하고자 하였다. 인터페이스 특성의 시간 의존적인 변화양상과 비교하기 위하여 압축강도와 탄성계수와 같은 숏크리트의 역학적 물성도 측정하였다. 실험결과로부터, 지반과 숏크리트 라이닝 사이의 인터페이스 특성은 역학적 물성과 유사하게 상당한 시간 의존적 거동을 보인다는 것을 확인하였다. 또한 인터페이스 특성의 시간의존적인 거동을 지수함수와 로그함수 형태로 잘 근사 시킬 수 있었다.

• Geomechanics and Engineering
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• 제16권4호
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• pp.385-397
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• 2018

This study evaluates the interfacial properties of composite specimens consisting of shotcrete and sprayed waterproofing membrane. Two different membrane prototypes were first produced and tested for their waterproofing ability. Then composite specimens were prepared and their interfacial properties assessed in direct shear and uniaxial compression tests. The direct shear test showed the peak shear strength and shear stiffness of the composites' interface decreased as the membrane layer became thicker. The shear stiffness, a key input parameter for numerical analysis, was estimated to be 0.32-1.74 GPa/m. Shear stress transfer at the interface between the shotcrete and membrane clearly emerged when measuring peak shear strengths (1-3 MPa) under given normal stress conditions of 0.3-1.5 MPa. The failure mechanism was predominantly shear failure at the interface in most composite specimens, and shear failure in the membranes. The uniaxial compression test yielded normal stiffness values for the composite specimens of 5-24 GPa/m. The composite specimens appeared to fail by the compressive force forming transverse tension cracks, mainly around the shotcrete surface perpendicular to the membrane layer. Even though the composite specimens had strength and stiffness values sufficient for shear stress transfer at the interfaces of the two shotcrete layers and the membrane, the sprayed waterproofing membrane should be as thin as possible whilst ensuring waterproofing so as to obtain higher strength and stiffness at the interface.

• Geomechanics and Engineering
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• 제14권3호
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• pp.233-240
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• 2018

Pullout tests are usually employed to determine the ultimate bearing capacity of reinforced soil, and the load-displacement curve can be obtained easily. This paper presents an analytical solution for predicting the full-range mechanical behavior of a buried planar reinforcement subjected to pullout based on a bi-linear bond-slip model. The full-range behavior consists of three consecutive stages: elastic stage, elastic-plastic stage and debonding stage. For each stage, closed-form solutions for the load-displacement relationship, the interfacial slip distribution, the interfacial shear stress distribution and the axial stress distribution along the planar reinforcement were derived. The ultimate load and the effective bond length were also obtained. Then the analytical model was calibrated and validated against three pullout experimental tests. The predicted load-displacement curves as well as the internal displacement distribution are in closed agreement with test results. Moreover, a parametric study on the effect of anchorage length, reinforcement axial stiffness, interfacial shear stiffness and interfacial shear strength is also presented, providing insights into the pullout behaviour of planar reinforcements of MSE structures.

• Composites Research
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• 제13권4호
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• pp.67-74
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• 2000

계면크랙으로부터 먼 거리에 일정한 반평면(anti-plane) 전단력이 가해지는 경우에 대해서 복소변수 변위함수(complex variable displacement function)를 이용하여 곡면형상의 접합면을 가지는 폼과 복합재료의 접합재료에 대한 일반해를 고찰하였다. 점탄성 모델을 표현하기 위하여 Kelvin-Maxwell 모델을 제시하였으며, 폼의 점탄성을 나타내는 수학적 모델을 라플라스 변환을 이용하여 처리하였다. 폼의 점탄성 및 복합재료의 이방성을 고려하여 계면크랙에서의 응력세기계수를 예측하였다. 응력세기계수는 접합면의 곡률이 증가할수록 증가하는 경향을 보이며 시간이 지남에 따라 증가하다 일정값에 수렴하였다. 또한 폼과 복합재료 사이의 전단 강성계수비가 증가할수록 응력세기계수가 증가하였으며, 복합재료의 섬유방향이 응력세기계수의 변화에 미치는 영향은 점차 감소하였다.