• Geomechanics and Engineering
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• 제32권1호
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• pp.49-68
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• 2023

The three-dimensional failure criterion is essential for maintaining wellbore stability and sand production problem. The convenient factor for a stable wellbore is mud weight and borehole orientation, i.e., mud window design and selection of borehole trajectory. This study proposes a new three-dimensional failure criterion with linear relation of three in-situ principal stresses. The number of failure criteria executed to understand the phenomenon of rock failure under in-situ stresses is the Mohr-Coulomb criterion, Hoek-Brown criterion, Mogi-Coulomb criterion, and many more. A new failure criterion is the extended Mohr-Coulomb failure criterion with the influence of intermediate principal stress (σ₂). The influence of intermediate principal stress is considered as a weighting of (σ₂) on the mean effective stress. The triaxial compression test data for eleven rock types are taken from the literature for calibration of material constant and validation of failure prediction. The predictions on rock samples using new criteria are the best fit with the triaxial compression test data points. Here, Drucker-Prager and the Mogi-Coulomb criterion are also implemented to predict the failure for eleven different rock types. It has been observed that the Drucker-Prager criterion gave over prediction of rock failure. On the contrary, the Mogi-Coulomb criterion gave an equally good prediction of rock failure as our proposed new 3D failure criterion. Based on the yield surface of a new 3D linear criterion it gave the safest prediction for the failure of the rock. A new linear failure criterion is recommended for the unique solution as a linear relation of the principal stresses rather than the dual solution by the Mogi-Coulomb criterion.

• 한국안전학회지
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• 제17권4호
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• pp.52-60
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• 2002

Failure criterion is a parameter to represent the resistance to failure of locally wall thinned pipe, and it depends on material characteristics, defect geometry, applied loading type, and failure mode. Therefore, accurate prediction of integrity of wall thinned pipe requires a failure criterion adequately reflected the characteristics of defect shape and loading in the piping system. In the present study, the finite element analysis was performed and the results were compared with those of pipe experiment to develop a sound criterion for failure of internally wall thinned pipe subjected to combined pressure and bending loads. By comparing the predictions of failure to actual failure load and displacement, an appropriate criterion was investigated. From this investigation, it is concluded that true ultimate stress criterion is the most accurate to predict failure of wall thinned pipe under combined loads, but it is not conservative under some conditions. Engineering ultimate stress estimates the failure load and displacement reasonably for al conditions, although the predictions are less accurate compared with the results predicted by true ultimate stress criterion.

• 터널과지하공간
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• 제23권3호
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• pp.219-227
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• 2013

Mohr-Coulomb 파괴조건식은 암반구조물의 설계에 활발히 이용되고 있지만 암석의 비선형 강도특성과 중간주응력이 강도에 미치는 영향을 고려할 수 없다는 단점을 가지고 있다. 이러한 단점을 극복하기 위하여 Hoek-Brown 파괴조건식이 제안되었으며 최근 중간주응력의 영향을 고려할 수 있는 여러 3-D 파괴조건식들이 제안되고 있다. 그러나 아직까지도 많은 암반공학적 설계과정에서 Mohr-Coulomb 파괴조건식을 이용하여 암반의 파괴 가능성이 평가되고 있고 대부분의 현장 기술자들도 내부마찰각과 점착력으로 암반의 강도특성을 이해하는데 익숙하다. 그러므로 Mohr-Coulomb 파괴조건식에 비해 개선된 비선형 혹은 3-D 파괴조건식의 접선마찰각 및 접선점착력이 구해지면 기존의 Mohr-Coulomb 파괴조건식을 활용하는 틀 안에서 개선된 파괴조건식들의 장점을 이용하는 것이 가능하다. 본 연구에서는 접선마찰각과 접선점착력을 응력불변량으로 표시하는 방법을 제시하고 이를 일반화된 Hoek-Brown 파괴조건식과 Hoek-Brown 파괴조건식을 3-D로 확장시킨 HB-WW 파괴조건식에 적용하였다. 또한 파괴조건식의 중간주응력 의존성을 3차원 주응력 공간에서 기하학적으로 해석하는 새로운 접근법을 제안하였다. 제안된 방법의 실행 사례를 통해 HB-WW 파괴함수의 접선마찰각과 접선점착력은 2-D 파괴함수의 경우와 달리 중간주응력의 크기에 상당한 영향을 받음을 보였다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2009년도 춘계 학술발표회
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• pp.434-443
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• 2009

Slope stability analysis is an essential part of rock slope design. For highly fractured rock, the limit equilibrium method (LEM) based slope stability analysis with a circular failure surface is often carried out assuming the rock mass behaves more or less as a continuum. This paper examines first, the applicability of the finite-element method (FEM) based shear strength reduction (SSR) technique for highly fractured rock slope, and second the use of Mohr-Coulomb (MC) failure criterion in conjunction with generalized Hoek-Brown (HB) failure criterion. The numerical results on a number of cases are compared in terms of the factor of safety (FS). The results indicated that the FEM-based SSR technique yields almost the same FSs from LEM, and that the MC and HB failure criteria yield almost identical FSs when the strength parameters for MC failure criterion are obtained based on the modified HB failure criterion if and only if value of the Hoek-Brown constant $m_i$ is smaller than 10 and slope angle is smaller than 1:1, otherwise MC failure criteria over-estimate the factor of safety.

• 대한조선학회논문집
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• 제52권1호
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• pp.52-60
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• 2015

In the present study, an evaluation method for progressive failure of composite laminates has been proposed based on Puck's failure criterion and damage mechanics. The initial failure (or initiation of crack/delamination) has been assessed using Puck's failure criterion, and the progressive failure (or growth of crack/delamination) has been evaluated using fiber- and matrix-dependent damage variables. Based on Puck's failure criterion-damage mechanics coupling theories, the ABAQUS user-defined subroutine UMAT has been developed in order to analyze the progressive failure of glass/carbon fiber-reinforced composite laminates efficiently. In addition, the developed subroutine has been applied to progressive failure problem of industrial composite laminates, and the analysis results has been compared to experimental results which have been already reported in publications. It was confirmed that the simulation results were coincided well with the reported composite failure results.

• 한국지반신소재학회논문집
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• 제9권3호
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• pp.19-27
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• 2010

본 연구에서는 제주도 현무암에 대한 삼축압축시험을 실시하고 Lade(1977)의 3차원 파괴규준을 적용하여 강도정수를 산정하였다. 그리고 3차원 파괴규준에 의해 산정된 강도정수와 파괴면의 특성을 살펴보고, Mohr-Coulomb의 파괴규준으로 산정한 전단강도정수와 비교검토하였다. 삼축압축시험결과를 토대로 Lade(1977)의 3차원 파괴규준을 이용하여 파괴시의 ($I_1^3/I_3-27$)과 ($P_a/I_1$) 관계로부터 매개변수인 ${\eta}_1$ 및 m을 구하였다. 3차원 파괴면을 나타내는 정팔면체 평면에서 조면암질 현무암의 파괴면이 가장 크고 스코리아가 가장 작으며, 단면형상은 조면암질 현무암이 가장 삼각형에 가깝고 스코리아가 가장 원형에 가까운 것으로 나타났다. 정팔면체 평면에서 삼축실험결과와 Lade의 파괴포락선 및 Mohr-Coulomb의 파괴포락선을 비교한 결과 높은 응력하에서는 Lade의 파괴규준이 실험치와 일치하며, 낮은 응력하에서는 Mohr-Coulomb의 파괴규준이 실험치와 일치하는 것으로 나타났다. 그리고 Lade의 3차원 파괴면은 Mohr-Coulomb의 3차원 파괴면보다 크며, 이는 Lade의 파괴규준으로 산정된 전단강도정수가 Mohr-Coulomb의 파괴규준으로 구한 것 보다 더 크게 산정됨을 의미한다.

• 한국지반공학회논문집
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• 제32권3호
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• pp.15-27
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• 2016

본 연구에서는 제주도 북동부 육해상, 남동부 해상 및 북서부 해상에서 채취한 현무암 암석에 대하여 삼축압축시험을 수행하였으며, 그 결과로부터 산정된 Hoek-Brown 파괴기준의 파라미터인 암석 계수 $m_i$의 특성을 살펴보았다. 그리고 Hoek-Brown 파괴기준으로부터 추정된 점착력 및 내부 마찰각과 Mohr-Coulomb 파괴기준으로부터 산정된 점착 력 및 내부 마찰각을 각각 비교 분석하였다. 그 결과 제주도 현무암 암석에 대한 Hoek-Brown 파괴기준의 암석 계수 $m_i$는 암석의 내부 마찰각과 밀접하게 연관되어 있었으며, 내부 마찰각이 증가함에 따라 급격하게 증가하였다. Hoek-Brown 파괴기준으로부터 추정된 점착력은 Mohr-Coulomb 파괴기준으로부터 산정된 점착력보다 평균적으로 약 24% 정도 과대하게 추정되고 있으며, Hoek-Brown 파괴기준으로부터 추정된 내부 마찰각은 Mohr-Coulomb 파괴기준의 내부 마찰각과 비슷한 값을 나타내고 있음을 알 수 있었다.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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• pp.936-938
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• 2017

본 논문에서는 발사체 및 무기체계의 연소관 등에 적용되고 있는 복합재의 볼트체결부에 대한 점진적 파손 해석을 수행하였다. 해석에 사용된 Hashin 파손 판정식은 복합재 파손모드에 따라 섬유 인장 파손 모드(Fiber tensile failure mode), 섬유 압축 파손 모드(Fiber compressive failure mode), 기지 인장 파손 모드(Matrix tensile failure mode), 기지 압축 파손 모드(Matrix compressive failure mode)의 4가지 모드로 고려되었으며, 이를 이용해 user subroutine인 UMAT을 개발하였다. 점진적 파손 해석을 통해 복합재 볼트체결부에 대한 파손강도를 예측 하였으며, 이를 시편 시험 결과와 비교하였다.

• Computers and Concrete
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• 제4권2호
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• pp.119-134
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• 2007

External bonding of steel or FRP plates to reinforced concrete (RC) structures has been a popular method for strengthening RC structures; however, unexpected premature failure often occurs due to debonding between the concrete and the epoxy. We proposed a Coulomb criterion with a constant failure surface as the debonding failure criterion for the concrete-epoxy interface. Diagonal shear bonding tests were conducted to determine the debonding properties that were related to the failure criterion, such as the angle of internal friction and the coefficient of cohesion. In addition, an interface element that utilized the Coulomb criterion was implemented in a nonlinear finite element analysis program to simulate debonding failure behavior. Experimental studies and numerical analysies on RC beams strengthened by an externally bonded steel or FRP plate were used to determine the range of the coefficient of cohesion. The results that were presented prove that premature failure loads of strengthened RC beams can be predicted with using the bonding properties and the finite element program with including the proposed Coulomb criterion.

• Earthquakes and Structures
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• 제15권2호
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• pp.123-132
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• 2018

In this paper the strain energy density (SED) model is used to analyze the seismic behavior of suspen-domes and a new criterion is established for judging the seismic failure based on a characteristic point in the SED model. Firstly, a nonlinear time-history response analysis was carried out using the finite-element package ANSYS for typical suspen-domes subjected to different ground motions. The seismic responses including nodal displacements, ratios of yielding members, strain energy density and structural maximum deformation energy were extracted corresponding to the increasing peak ground acceleration (A). Secondly, the SED sum ($I_d$) was calculated which revealed that the $I_d-A$ curve exhibited a relatively large change (called a characteristic point) at a certain value of A with a very small load increment after the structures entered the elastic-plastic state. Thirdly, a SED criterion is proposed to judge the seismic failure load based on the characteristic point. Subsequently, the case study verifies the characteristic point and the proposed SED criterion. Finally, this paper describes the unity and application of the SED criterion. The SED method may open a new way for structural appraisal and the SED criterion might give a unified criterion for predicting the failure loads of various structures subjected to dynamic loads.