• Geomechanics and Engineering
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• 제11권3호
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• pp.439-455
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• 2016

This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

• Geomechanics and Engineering
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• 제16권2호
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• pp.195-204
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• 2018

Based on theories of rock mechanics, rock fragmentation, mechanics of elasto-plasticity, and energy dissipation etc., a method is presented for evaluating the rock fragmentation efficiency by using plastic energy dissipation ratio as an index. Using the presented method, the fragmentation efficiency of rocks with different strengths (corresponding to soft, intermediately hard and hard ones) under indentation is analyzed and compared. The theoretical and numerical simulation analyses are then combined with experimental results to systematically reveal the fragmentation mechanism of rocks under indentation of indenter. The results indicate that the fragmentation efficiency of rocks is higher when the plastic energy dissipation ratio is lower, and hence the drilling efficiency is higher. For the rocks with higher hardness and brittleness, the plastic energy dissipation ratio of the rocks at crush is lower. For rocks with lower hardness and brittleness (such as sandstone), most of the work done by the indenter to the rocks is transferred to the elastic and plastic energy of the rocks. However, most of such work is transferred to the elastic energy when the hardness and the brittleness of the rocks are higher. The plastic deformation is small and little energy is dissipated for brittle crush, and the elastic energy is mainly transferred to the kinetic energy of the rock fragment. The plastic energy ratio is proved to produce more accurate assessment on the fragmentation efficiency of rocks, and the presented method can provide a theoretical basis for the optimization of drill bit and selection of well drilling as well as for the selection of the rock fragmentation ways.

• 한국암반공학회:학술대회논문집
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• 한국암반공학회 2011년도 추계 총회 및 창립 30주년 기념 심포지엄
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• pp.89-97
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• 2011

Brittle failure of rock is a classical rock mechanics problem. Rock failure not only involves initiation and propagation of single crack, but also is a complex problem associated with initiation, propagation and coalescence of many cracks. As the most important feature of rock material properties is the heterogeneity, the Weibull statistical distribution is employed in the rock failure process analysis (RFPA) method to describe the heterogeneity in rock properties. In this paper, the applications of the RFPA method in geotechnical engineering and rockburst modeling are introduced with emphasis, which can provide some references for relevant researches.

• 터널과지하공간
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• 제17권5호
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• pp.389-410
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• 2007

불연속면의 빈도가 높지 않은 견고한 암반의 경우 굴착시 공동 주변 영역에서의 파괴나 변형 특성은 형성되어 있는 초기응력 조건과 강도 특성에 절대적인 영향을 받는다. 과도한 초기응력장은 굴착 공동 주변에 점진적이고 국부적인 취성파괴를 유발시킴으로서 시공의 안정성과 경제성을 확보하는데 장애요인으로 작용할 수 있다. 이 논문에서는 응력 수준과 터널형상에 따른 공동 주변의 취성파괴 거동 특성을 파악하기 위해 축소된 터널 시험체를 이용한 이축압축시험과 입자 결합모델을 이용한 개별요소법의 일종인 $PFC^{2D}$ 해석에 의한 연구를 수행하였다. 실내 이축압축시험을 통해 취성파괴의 발생 영역과 형태 면에서 실제 암반 공동 주변에서 발생된 파괴 특성과 유사한 파괴 거동을 모사할 수 있었다. 모형시험체에 대한 이축압축시험 결과 최소 주응력 방향의 공동 단면 곡선부에서는 균열이 표면에서 개시된 후 내부로 진행되어 국부적인 노치형 파괴영역이 형성되었다. 이에 비해 모서리와 직선부의 경우 공벽 표면과 내부에서 발생된 균열들의 상호 연결, 결합에 의해 대규모의 노치형 분리면이 유도되고 곡선부에 비해 큰 파괴영역이 형성되는 것으로 조사되었다.

• Structural Engineering and Mechanics
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• 제53권3호
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• pp.481-495
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• 2015

Many hydropower stations in southwest China are located in regions of brittle rock mass with high geo-stresses. Under these conditions deep fractured zones often occur in the sidewalls of the underground caverns of a power station. The theory and methods of fracture and damage mechanics are therefore adopted to study the phenomena. First a flexibility matrix is developed to describe initial geometric imperfections of a jointed rock mass. This model takes into account the area and orientation of the fractured surfaces of multiple joint sets, as well as spacing and density of joints. Using the assumption of the equivalent strain principle, a damage constitutive model is established based on the brittle fracture criterion. In addition the theory of fracture mechanics is applied to analyze the occurrence of secondary cracks during a cavern excavation. The failure criterion, for rock bridge coalescence and the damage evolution equation, has been derived and a new sub-program integrated into the FLAC-3D software. The model has then been applied to the stability analysis of an underground cavern group of a hydropower station in Sichuan province, China. The results of this method are compared with those obtained by using a conventional elasto-plastic model and splitting depth calculated by the splitting failure criterion proposed in a previous study. The results are also compared with the depth of the relaxation and fracture zone in the surrounding rock measured by field monitoring. The distribution of the splitting zone obtained both by the proposed model and by the field monitoring measurements are consistent to the validity of the theory developed herein.

• 터널과지하공간
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• 제17권2호
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• pp.128-138
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• 2007

상대적으로 저심도에 건설되는 암반구조물의 경우 단층이나 절리 등 암반 내 존재하는 불연속면이 굴착 후 생성된 경계면과의 교차에 의해 구조적인 형태의 파괴가 지배적으로 발생하나, 고심도에 건설되는 경우 높은 현지응력과 굴착에 따른 유도응력으로 인해 공동 경계면에서 스폴링이나 슬래빙과 같은 취성파괴가 발생할 수 있다. 취성파괴는 암반구조물의 안정성을 약화시키는 주된 원인으로, 고심도 영역에서 암반구조물의 안정성을 확보하기 위하여 응력조건에 따라 발생하는 취성파괴의 개시시점, 파괴수준 및 파괴범위 등과 같은 파괴특성이 규명되어야 한다. 본 연구에서는 고심도의 암반구조물에서 발생할 수 있는 취성파괴의 파괴수준 및 개시시점과 재하응력사이의 관계를 정량적으로 평가하고자 진삼축 응력조건을 구현할 수 있는 모형실험장치를 설계, 제작하여 여러 응력조건에서 모형실험을 수행하였다. 공동주변에서 발생한 파괴수준을 육안관찰과 미소파괴음 발생양상에 의해 3단계로 구분하고, 진삼축 응력조건에 따라 제시하였다. 그 결과 파괴수준은 공동단면에 작용하는 재하응력$(S_v,\;S_{H2})$ 뿐 아니라 공동 축에 평행한 재하응력 $S_{H1}$에 영향을 받으며, $S_{H1}$와 $S_{H2}$의 크기가 증가할수록 동일한 $S_v$에서 파괴수준은 감소하였다. 파괴개시점 역시 $S_{H1}$와 $S_{H2}$의 증가에 따라 파괴개시를 위한 응력수준은 증가하였으며, 다중회귀분석을 통해 파괴개시시점과 진삼축 응력조건의 관계식을 도출하였다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2009년도 춘계 학술발표회
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• pp.1147-1153
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• 2009

The failure modes of rock anchors subjected to tension can be defined as follows: tensile failure of tendon, shear failure on tendon-grout interface, shear failure on grout-rock interface and tensile failure of rock. This study proposes a design method to induce the rock anchor systems to avoid the brittle failure by ensuring the minimum embedded length of rock anchors. Pull-out test results of full-scale rock anchors show that the proposed method is effective in predicting the design conditions expecting the ductile tendon failure.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2007년 가을학술발표회
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• pp.127-137
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• 2007

Faults are fractures along which there is visible offset by shear displacement parallel to the fracture surface. Faults can occur as single discrete breaks, but where the rock has been repeatedly faulted, or where the rock is especially weak, no discrete break may be evident. What forms instead is a fault zone composed of countless subparallel and interconnecting closely spaced fault surfaces. Faulting is fundamentally a brittle mechanism for achieving shear displacement. At deep crustal levels where rocks tend to deform plastically under conditions of elevated temperature and confining pressure, shear displacement is achieved by and development of shear zones. In this paper authors propose the fault grade in Korea.

• 터널과지하공간
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• 제15권2호
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• pp.157-167
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• 2005

암반 내 작용하는 초기응력은 굴착되는 공동의 안정성이나 파괴 거동을 평가하는데 요구되는 주요 매개변수들 중의 하나이며 그 중요성은 암반 구조물의 시공 심도가 깊어지고 단면 규모가 커질수록 증가하게 된다. 이 논문에서는 경기육괴의 동북부에 위치한 춘천-양구 산악지역의 초기응력 분포 특성을 파악하기 위한 연구를 수행하였다. 현장 초기응력 측정은 연구지역내 9개 개별 시추공을 대상으로 심도 220m\~290m 구간의 49개소에서 시행되었다. 모든 수압파쇄 균열 조사는 초음파 주사검층을 이용하여 수행하였다. 연구 결과 조사지역 내에서 분포 암종의 차이에 따라 서로 상이한 분포 특성을 나타내는 초기응력장이 관찰되었고 특히 심도 200 m 이상의 관입 화강암체내에는 3.0에 가까운 측압계수를 가지는 높은 수준의 과잉 수평응력장이 형성되어 있는 것으로 분석되었다. 그리고 조사지역내에서 초기응력 조건에 의한 취성파괴 가능성을 평가한 결과 화강암 분포 지역내 심도 100 m이상인 영역에서는 굴착된 암반 구조물 주변에서 취성파괴의 가능성이 있는 것으로 분석되었다.

• Steel and Composite Structures
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• 제22권2호
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• pp.399-409
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• 2016

The fracture propagation mechanism and fractured rock mass failure mechanism were important research in geotechnical engineering field. Many failures and instability in geotechnical engineering were related on fractures propagation, coalescence and interaction in rock mass under the external force. Most of the current research were limited to two-dimensional for the brittleness and transparency of three-dimensional fracture materials couldn't meet the requirements of the experiment. New materials with good transparent and brittleness were developed by authors. The making method of multi fracture specimens were established and made molds that could be reused. The tension-compression ratio of the material reached above 1/6 in normal temperature. Uniaxial and biaxial loading tests of single and double fracture specimens were carried out. Four new fractures were not found in the experiment of two-dimensional fractures such as the fin shaped crack, wrapping wing crack and petal crack and anti-wing crack. The relationship between stress and strain of the specimens were studied. The specimens with the load had experienced four stages of deformation and the process of the fracture propagation was clearly seen in each stage. The expansion characteristics of the fractured specimens were more obvious than the previous research.