• Advances in biomechanics and applications
• /
• 제1권2호
• /
• pp.85-93
• /
• 2014

In this paper, two procedures of enumerating the axial rotation are proposed using the unit sphere of the spherical rotation coordinate system specifying 3D rotation. If the trajectory of the movement is known, the integration of the axial component of the angular velocity plus the geometric effect equal to the enclosed area subtended by the geodesic path on the surface of the unit sphere. If the postures of the initial and final positions are known, the axial rotation is determined by the angular difference from the parallel transport along the geodesic path. The path dependency of the axial rotation of the three dimensional rigid body motion is due to the geometric effect corresponding to the closed loop discontinuity. Firstly, the closed loop discontinuity is examined for the infinitesimal region. The general closed loop discontinuity can be evaluated by the summation of those discontinuities of the infinitesimal regions forming the whole loop. This general loop discontinuity is equal to the surface area enclosed by the closed loop on the surface of the unit sphere. Using this quantification of the closed loop discontinuity of the axial rotation, the geometric effect is determined in enumerating the axial rotation. As an example, the axial rotation of the arm by the Codman's movement is evaluated, which other methods of enumerating the axial rotations failed.

• 한국지반공학회:학술대회논문집
• /
• 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
• /
• pp.1400-1405
• /
• 2008

Execute surface of the earth geological survey for stability analysis of stealing cutting sides and investigated wide area nature of soil structure. Inflected DIPS that measure discontinuity's direction that develop to slope and is slope stability a wide use program for Stereographic Projection Method analysis that utilize geometrical correlation of stealing four sides and discontinuity surface. It is principle that angle of internal friction that is basis element of stability estimation applies direct shear test result on joint side, Examination is impossible by case execution, suppose by 30 angles that apply more conservatively in base rock slope sides usually and achieved analysis. When analyze, consider discontinuity's various adult that develop in research slope, after conduct first each discontinuity different assay falling into fault, joint, executed stability estimation which synthesize whole discontinuity data. When ailment element is recognized as analysis result, wished to present stability countermeasure way of most suitable to take into account of execution, stability, economic performance.

• 한국정밀공학회지
• /
• 제23권9호
• /
• pp.111-118
• /
• 2006

A hybrid focus method with multiple laser slits is newly proposed for the measurement of surface morphology with depth discontinuity, and it is based on the integration of DFB and DFF. Rough depth information is estimated through calibration tables which are constructed by DFD with multiple laser slits, and then DFF is applied to only each specific depth range using the rough depth information resulting from DFD. The proposed hybrid method gives more accurate results than DFD and DFF, and faster measurement than DFF in the vicinity of depth discontinuity Its performance is verified through experiments of calibration blocks with sharp depth discontinuity.

• 터널과지하공간
• /
• 제5권2호
• /
• pp.104-113
• /
• 1995

Shear strength of the discontinuity on which the pre-failure of rock slope was occurred during surface excavation was measured through the direct shear test using core samples obtained in-situ. Internal friction angle was increased as the roughness of discontinuity surface(JRC) was increased. Results of the tilt test using core samples of higher JRC also showed very similar trend as those of the direct shear test. When the samples replicated from natural cores were used int he tilt test, results of friction angles showed almost perfect continuation of the residual friction angles from the direct shear test. However, when the gouge material existed in the discontinuity the internal friction angle strongly depended upon the rate of filling thickness to the height of asperity irrespective of the JRC. Based on the results of both direct shear test and tilt test internal friction angle and cohesion of discontinuity, which reflect the in-situ conditions fo pre-sliding failure and also can be used for the optimum design of support system, were assessed. Two kinds of support measures which were expected to increase the stability of rock slope were considered; lowering of slope face angle and installation of rock cable. But, it was found that the first method might lead to more unstable conditions of rock slope when the cohesion of discontinuity plane was negligibly low and in that case the support systems of any kind which could exert actual resisting force were needed to ensure the permanent stability of rock slope.

• Geomechanics and Engineering
• /
• 제11권4호
• /
• pp.515-530
• /
• 2016

In this paper, five different quantitative parameters were proposed for the characterization of the primary roughness which is the component of surface morphology that prevails during large strike-slip faults of more than 50 m. These parameters are mostly the anisotropic properties of rock surface morphology at various scales: (i) coefficient ($k_a$) and degree (${\delta}_a$) of apparent structural anisotropy of surface; (ii) coefficient ($k_r$) and degree (${\delta}_r$) of real structural anisotropy of surface; (iii) surface anisotropy function P(${\varphi}$); and (iv) degree of surface waviness ($W_s$). The coefficient and degree of apparent structural anisotropy allow qualifying the anisotropy/isotropy of a discontinuity according to a classification into four classes: anisotropic, moderately anisotropic/isotropic and isotropic. The coefficient and degree of real structural anisotropy of surface captures directly the actual surface anisotropy using geostatistical method. The anisotropy function predicts directional geometric properties of a surface of discontinuity from measurements in two orthogonal directions. These predicted data may subsequently be used to highlight the anisotropy/isotropy of the surface (radar plot). The degree of surface waviness allows qualifying the undulation of anisotropic surfaces. The proposed quantitative parameters allows their application at both lab and field scales.

• 터널과지하공간
• /
• 제17권3호
• /
• pp.175-185
• /
• 2007

불연속면을 따라 점토 등의 충전물이 포함된 경우에는 불연속면의 방향이 유리하게 작용하더라도 사면안정에 불안정성을 초래한다. 연구지역의 사면활동은 점토충전물과 풍화토의 경계를 따라 발생하였다. 이것은 물성의 차이를 보이는 경계부분이 존재했기 때문이며, 암석에서 엽리 등이 구조적 운동시 연약대로 작용하여 층간의 미끄러짐을 유도하는 현상과 매우 유사하다. 대부분의 해석에서 점토충전물이 존재할 경우에는 하나의 불연속면으로 설정하여 해석한다. 이때의 불연속면은 점토층내에서의 활동면으로 해석되므로 점토와 원지반과의 경계부의 특성이 해석에 고려되지 못하여 불연속면의 거동은 결국 점토의 물리적 성질에 많이 지배된다. 점토충전물로 인한 활동사면의 안정성 평가 결과는 충전물에 의한 불연속면의 파괴유형에 따른 강도정수에 의해 안전율에 상당한 차이를 보인다.

• Geomechanics and Engineering
• /
• 제35권4호
• /
• pp.333-366
• /
• 2023

Rock as a mass generally exhibits discontinuities, commonly witnessed in rock slopes and underground structures like tunnels, rock pillars etc. When these discontinuities experiences loading, a new crack emerges from them which later propagates to a macro scale level of failure. The failure pattern is often influenced by the nature of discontinuity, geometry and loading conditions. The study of crack growth in rocks, namely its initiation and propagation, plays an important role in defining the true strength of rock and corresponding failure patterns. Many researchers have considered the length of the discontinuity to be fully persistent on rock or rock-like specimens by both experimental and numerical methods. However, only during recent decades, there has been a substantial growth in research interest with non-persistent discontinuities where the crack growth and its propagation phenomenon were found to be much more complex than persistent ones. The non-persistence fractures surface is generally considered to be open and closed. Compared to open flaws, there is a difference in crack growth behaviour in closed or narrow flaws due to the effect of surface closure between them. The present paper reviews the literature that has contributed towards studying the crack growth behaviour and its failure characteristics on both open and narrow flaws subjected to uniaxial and biaxial compression loading conditions.

• 터널과지하공간
• /
• 제13권5호
• /
• pp.373-388
• /
• 2003

불연속면의 기하학적 특성 조사는 일반적으로 조사자가 암반 노출면에서 직접 측정 작업을 수행하여 자료를 획득한다. 이러한 방법은 조사 범위에 대한 제약이 있을 수 있고, 자료의 획득과 처리에 많은 비용과 시간을 소요하게 되는 단점이 있다. 이를 극복하기 위하여 디지털 영상 분석은 현장 측정에 대한 대안적인 방법으로 제시될 수 있으며, 자동화된 측정과 분석을 제공한다는 장점이 있다. 본 연구는 디지털 사진기에 의해 촬영된 암반 노출면 영상으로부터 절리의 궤적을 인식하기 위한 목적으로 수행되었으며. 결과적으로 부존하는 절리맵을 자동화된 방법으로 작성하고자 하였다. 이를 위하여 개발된 해석 과정은 Media cybernetic사의 ImagePro Plus ver 4.1의 매크로 명령을 사용하여 프로그램으로 작성하였다. 본 연구에서 수행된 영상처리 과정은 영상처리, 절리 인식, 절리 궤적 추적 단계로 구분된다. 영상 처리 단계는 암반 사면 영상에 나타나는 노이즈를 제거하거나 완화시키기 위한 단계로서 영상 필터들을 조합하여 적용하였다. 절리 인식단계는 암반과 절리의 명도차에 의한 국부적인 절리 궤적을 인식하는 과정이다, 인식된 절리는 절리 궤적 추적 단계에서 수치적 의사 결정이 가능한 구조로 재구성된 후 서로 연결되어 절리맵으로 완성된다. 암반 사면의 원 영상과 이러한 영상 처리 알고리즘에 의한 일련의 과정을 거쳐 작성된 절리맵을 비교한 결과, 75～80% 정도의 불연속면들이 인식된 것으로 나타났다. 본 연구와 관련하여 앞으로는 절리 궤적 추적에 더욱 적합한 영상을 획득하기 위한 영상 필터의 조합부분과 절리 궤적의 연결과정에서 seed pixel을 자동적으로 선택할 수 있는 부분을 보다 집중적으로 연구할 필요가 있을 것으로 생각한다.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 2001년도 봄 학술발표회 논문집
• /
• pp.335-342
• /
• 2001

In this paper, an improved Element-Free Galerkin (EFG) method is proposed by adding enrichment function to the standard EFG approximation and a discontinuity function is implemented in constructing the shape function across the crack surface. In this method, the singularity and the discontinuity of the crack are efficiently modeled by using initial node distribution to evaluate reliable stress intensity factor, though the standard EFG method requires placing additional nodes near the crack tip. The proposed method enables the initial node distribution to be kept without any additional nodal d.o.f. and expresses the asymptotic stress field near the crack tip successfully. Numerical example verifies the improvement and the effectiveness of the method.

• Nuclear Engineering and Technology
• /
• 제45권6호
• /
• pp.707-720
• /
• 2013

We analyze piecewise homogenization with flux-weighted cross sections and preservation of averaged currents at the boundary of the homogenized domain. Introduction of a set of flux discontinuity ratios (FDR) that preserve reference interface currents leads to preservation of averaged region reaction rates and fluxes. We consider the class of numerical discretizations with one degree of freedom per volume and per surface and prove that when the homogenization and computing meshes are equal there is a unique solution for the FDRs which exactly preserve interface currents. For diffusion submeshing we introduce a Jacobian-Free Newton-Krylov method and for all cases considered obtain an 'exact' numerical solution (eight digits for the interface currents). The homogenization is completed by extending the familiar full assembly homogenization via flux discontinuity factors to the sides of regions laying on the boundary of the piecewise homogenized domain. Finally, for the familiar nodal discretization we numerically find that the FDRs obtained with no submesh (nearly at no cost) can be effectively used for whole-core diffusion calculations with submesh. This is not the case, however, for cell-centered finite differences.