• 지질공학
• /
• 제32권4호
• /
• pp.597-610
• /
• 2022

중간주응력을 고려한 마찰재료의 파괴거동에 대한 확고한 이해는 대심도 보어홀 안정성 및 단층해석 등과 관련된 현장 적용의 고도화를 위한 필수적인 과정이다. 본 연구는 진삼축압축 조건을 물리적으로 구현하는 장비를 설계·제작하였으며 마찰재료로 제작된 석고 시료에 대한 진삼축압축시험을 통하여 재료의 파괴거동 특성을 논의하고 삼차원파괴함수의 적용성을 검토하였다. 진삼축압축시험을 위한 석고 재료는 52(w) × 52(l) × 104(h) mm의 직육면체 시료로 성형하였으며 다양한 조합의 𝜎₃, 𝜎₂의 조건으로 총 24회의 진삼축압축시험이 수행되었다. 또한, 삼차원 파괴기준식의 파라미터로 사용되는 석고의 강도정수 측정을 위하여 전통적인 일축압축시험 및 삼축압축시험이 수행되었다. 석고 재료의 응력-변형 특성은 중간주응력과 최소주응력의 차이가 클수록 취성거동이 더욱 강하게 나타났으며, 시료의 강도 및 변형은 중간주응력의 변화를 반영하는 것으로 평가되었다. 주응력 좌표계에서 시험 데이터에 대한 비선형 다중회귀분석을 수행한 결과 수정 Wiebols-Cook 파괴기준 및 수정 Lade 파괴기준이 석고 시료에 대한 삼차원 파괴기준으로 가장 적합하였다.

• Structural Engineering and Mechanics
• /
• 제34권2호
• /
• pp.175-188
• /
• 2010

This paper deals with the buckling and postbuckling responses, and the progressive failure of square laminates of symmetric lay-up with a central rectangular cutout under in-plane shear load. A detailed investigation is made to show the effects of cutout size and cutout aspect ratio on the buckling and postbuckling responses, failure loads and failure characteristics of $(+45/-45/0/90)_{2s}$, $(+45/-45)_{4s}$ and $(0/90)_{4s}$ laminates. The 3-D Tsai-Hill criterion is used to predict the failure of a lamina while the onset of delamination is predicted by the interlaminar failure criterion. In addition, the effects of boundary conditions on buckling loads, failure loads, failure modes, and maximum transverse deflection for a $(+45/-45/0/90)_{2s}$ laminate with and without a square cutout have been presented. It is concluded that because of early onset of delamination at the net section of cutouts before first-ply failure, total strength of the laminate with very small cutouts can not be utilized.

• Geomechanics and Engineering
• /
• 제20권4호
• /
• pp.287-297
• /
• 2020

This paper investigates the stability of a three-dimensional (3D) wedge under the pseudo-static action of an earthquake based on the nonlinear Barton-Bandis (B-B) failure criterion. The influences of the mechanical parameters of the discontinuity surface, the geometric parameters of the wedge and the pseudo-static parameters of the earthquake on the stability of the wedge are analyzed, as well as the sensitivity of these parameters. Moreover, a stereographic projection is used to evaluate the influence of pseudo-static direction on instability mode. The parametric analyses show that the stability coefficient and the instability mode of the wedge depend on the mechanical parameter of the rock mass, the geometric form of the wedge and the pseudo-static state of the earthquake. The friction angle of the rock φ_b, the roughness coefficient of the structure surface JRC and the two angles related to strikes of the joints θ₁ and θ₂ are sensitive to stability. Furthermore, the sensitivity of wedge height h, the compressive strength of the rock at the fracture surface JCS and the slope angle α to the stability are insignificant.

• 터널과지하공간
• /
• 제25권3호
• /
• pp.284-292
• /
• 2015

일반화된 Hoek-Brown 파괴함수는 GSI 지수를 이용하여 현장 암반의 강도정수를 결정하는 경험적 비선형 파괴조건식으로서 오늘날 다양한 암반공학적 설계에 널리 활용되고 있다. 그러나 여전히 많은 암반공학 전문가들이 암반의 강도를 마찰각과 점착력으로 표현하는 것에 익숙하다. 또한 거의 대부분의 암반안정성해석 수치해석 프로그램이 간편한 선형 Mohr-Coulomb 파괴조건식을 채택하고 있다. 이에 따라 Hoek-Brown 파괴함수를 Mohr-Coulomb 파괴함수 틀에서 이해하는 방법의 제시가 필요하다. 이 연구에서는 한계해석 상계정리를 적용하여 유도된 줄기초의 지지력 공식을 활용하여 Hoek-Brown 파괴조건을 따르는 천부 암반의 등가마찰각과 등가점착력을 계산하는 방법을 제안하였다. 일반화된 Hoek-Brown 파괴함수가 내포하는 접선점착력-접선마찰각 관계식을 이용하여 지지력 상계해를 마찰각의 함수로 표현한 후 최소 지지력 조건의 마찰각을 탐색하여 이를 등가마찰각으로 간주하였다. 제안된 방법을 활용하여 GSI, $m_i$, 교란계수 D가 등가마찰각과 등가점착력에 미치는 영향을 분석하였다.

• Structural Engineering and Mechanics
• /
• 제35권3호
• /
• pp.335-348
• /
• 2010

Cutouts are often provided in structural and aircraft components for ventilation, for access, inspection, electric lines and fuel lines or sometimes to lighten the structure. This paper addresses the effects of cutout shape (i.e., circular, square, diamond, elliptical-vertical and elliptical-horizontal) and size on buckling and postbuckling response of quasi-isotropic (i.e., $(+45/-45/0/90)_{2s}$) composite laminate under uni-axial compression. The finite element method is used to carry out the investigation. The formulation is based on first order shear deformation theory and von Karman's assumptions are used to incorporate geometric nonlinearity. The 3-D Tsai-Hill criterion is used to predict the failure of a lamina while the onset of delamination is predicted by the interlaminar failure criterion. It is observed that for the smaller size cutout area there is no significant effect of cutout shape on load-deflection response of the laminate. It is also concluded that the cutout size has substantial influence on the buckling and postbuckling response of the laminate with elliptical-horizontal cutout, while this effect is observed to be the least in case of laminate with elliptical-vertical cutout.

• 한국지반공학회:학술대회논문집
• /
• 한국지반공학회 1994년도 연약지반처리위원회 봄 학술발표회 논문집 연약지반처리
• /
• pp.3-12
• /
• 1994

Based on the shear failure mechanism, hydraulic fracturing criteria are extended to three dimensional stress state. According to the situation of the directions of borehole and major principal stress axes, three equations can be derived for three dimensional hydraulic fracturing problems. By comparing these equations, a single criterion is selected for hydraulic fracturing pressure in cohesive soils. The criterion is a function of maximum principal stress, minimum principal stress and soil parameters in UU conditions. The equation indicates that with any increase in maximim principal stress, hydraulic fracturing pressure decreases. In order to prove the integrity of the criteria, laboratory tests are performed on compacted cubical specimens using true a triaxial apparatus. The shape and direction of fractures are determined by injecting colored water after fracture initiation. It is found that the direction of fractures are perpendicular to the o1 plane.

• Geomechanics and Engineering
• /
• 제22권1호
• /
• pp.11-23
• /
• 2020

In this study, a new analytical-numerical procedure is developed to give the stresses and strains around a circular tunnel in rock masses exhibiting different stress-strain behavior. The calculation starts from the tunnel wall and continues toward the unknown elastic-plastic boundary by a finite difference method in the annular discretized plastic zone. From the known stresses in the tunnel boundary, the strains are calculated using the elastic-plastic stiffness matrix in which three dimensional Hoek-Brown failure criterion (Jiang and Zhao 2015) and Mohr-Coulomb potential function with proper dilation angle (i.e., non-associated flow rule) are employed in terms of stress invariants. The illustrative examples give ground response curve and show correctness of the proposed approach. Finally, from the results of a great number of analyses, a simple relationship is presented to find out the closure of circular tunnel in terms of rock mass strength and tunnel depth. It can be valuable for the preliminary decision of tunnel support and for prediction of tunnel problems.

• Geomechanics and Engineering
• /
• 제17권6호
• /
• pp.515-525
• /
• 2019

The calculation of active earth pressure behind retaining wall is a typical three-dimensional (3D) problem with spatial effects. With the help of limit analysis, this paper firstly deduces the internal energy dissipation power equations and various external forces power equations of the 3D retaining wall under the nonlinear strength condition, such as to establish the work-energy balance equation. The pseudo-static method is used to consider the effect of earthquake on active earth pressure in horizontal state. The failure mode is a 3D curvilinear cone failure mechanism. For the different width of the retaining wall, the plane strain block is inserted in the symmetric plane. By optimizing all parameters, the maximum value of active earth pressure is calculated. In order to verify the validity of the new expressions obtained by the paper, the solutions are compared with previously published solutions. Agreement shows that the new expressions are effective. The results of different parameters are given in the forms of figures to analysis the influence caused by nonlinear strength parameters.

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

• 한국소성가공학회:학술대회논문집
• /
• 한국소성가공학회 2008년도 춘계학술대회 논문집
• /
• pp.320-323
• /
• 2008

In this study, a macroscopic approach was carried out to gain insight into the bending mechanism of metallic sandwich plates. Shear force-punch stroke curves for various clearances were analytically derived for mild steel (CSP 1N) sandwich plates with the total thickness of 3 mm and 0.5 mm face sheets. As the clearance increases, shear force of the inner structures and sensitivity of punch stroke decrease. These data are useful to derive a criterion of judgment for core shear failure and de-bonding failure during U-bending.