• 제목/요약/키워드: strength criterion

검색결과 631건 처리시간 0.021초

모래에서 인장력을 고려한 Mohr-Coulomb 파괴규준 (Mohr-Coulomb Failure Criterion with Tensile Strength in Sand)

  • 김태형;이용수;황웅기;강기민;안영균
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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    • pp.963-971
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    • 2008
  • Unsaturated soil mechanics has been often used to find out a cause of failure (tensile failure) of retaining walls and hill slopes containing sandy soils. Checking shear strength is a popular method by considering suction stress developed form pore water menisci among the grains and saturated pockets of pore water under negative pressure. Linear Mohr-Coulomb failure criterion is generally adopted as a failure criterion. However, depending on relative density, stress history, and the magnitude of stress, the failure behavior of sand may not follow linear M-C frictional behavior. For stress in the large compressive ranges, say from tens to hundreds of kPa, the linear M-C criterion is an adequate representation for the shear strength behavior of sand. However, less than tens of kPa, the M-C criterion often can not be accurately represented. Depending on failure criterion, the uniaxial tensile strength is different over 100% relative error. For sand behavior under small compression regimes, therefore, such as under low or zero gravity, or under undergoing tensile failure in the crest area of hill slopes or behind retaining walls, it is important to consider the non-linear behavior.

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Analysis of cavity expansion based on general strength criterion and energy theory

  • Chao Li;Meng-meng Lu;Bin Zhu;Chao Liu;Guo-Yao Li;Pin-Qiang Mo
    • Geomechanics and Engineering
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    • 제37권1호
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    • pp.9-19
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    • 2024
  • This study presents an energy analysis for large-strain cavity expansion problem based on the general strength criterion and energy theory. This study focuses on the energy dissipation problem during the cavity expansion process, dividing the soil mass around the cavity into an elastic region and a plastic region. Assuming compliance with the small deformation theory in the elastic region and the large deformation theory in the plastic region, combined with the general strength criterion of soil mass and energy theory, the energy dissipation solution for cavity expansion problem is derived. Firstly, from an energy perspective, the process of cavity expansion in soil mass is described as an energy conversion process. The energy dissipation mechanism is introduced into the traditional analysis of cavity expansion, and a general analytical solution for cavity expansion related to energy is derived. Subsequently, based on this general analytical solution of cavity expansion, the influence of different strength criterion, large-strain, expansion radius, cavity shape and characteristics of soil mass on the stress distribution, displacement field and energy evolution around the cavity is studied. Finally, the effectiveness and reliability of theoretical solution is verified by comparing the results of typical pressure-expansion curves with existing literature algorithms. The results indicate that different strength criterion have a relatively small impact on the displacement and strain field around the cavity, but a significant impact on the stress distribution and energy evolution around the cavity.

점진적 파손해석 기법을 이용한 복합재 체결부의 강도해석 (Strength Estimation of Composite Joints Based on Progressive Failure Analysis)

  • 신소영;박노회;강경국;권진회;이상관;변준형
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.163-167
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    • 2001
  • A two-dimensional progressive failure analysis method is presented for the strength characterization of the composite joints under pin loading. The eight-nodes laminated she]1 element is utilized based on the updated Lagrangian formulation. The criteria by Yamada-Sun, Tsai-Wu, and the maximum stress are used for the failure estimation. The stiffness of failed layer is degraded by the complete unloading method. No factor depending on test is included in the finite element analysis except for the material strength and stiffness. Total 20 plate specimens with and without hole are tested to validate the finite element prediction. The Tsai-Wu failure criterion most conservatively estimates the strength of laminate, and the maximum stress criterion yields the highest strength because it does not consider the coupling of the failure modes. The strength by Yamada-Sun method neglecting the matrix failure effect are located between other two methods and shows best agreement with test result for laminate with hole.

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특성 길이를 이용한 평직 복합재 볼트 체결부의 강도 예측 (Strength Prediction of Bolted Woven Composite Joint Using Characteristic Length)

  • 박승범;변준형;안국찬
    • 한국안전학회지
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    • 제18권4호
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    • pp.8-15
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    • 2003
  • A study on predicting the joint strength of mechanically fastened woven glass/epoxy composite has been performed. An experimental and numerical study were carried out to determine the characteristic length and joint strength of composite joint. The characteristic lengths for tension and compression were determined from the tensile and compressive test with a hole respectively. The characteristic lengths were evaluated by applying the point stress failure criterion to a specimen containing a hole at the center subjected to tensile loading and a specimen containing a half circular notch at the center subjected to compressive load. The joint strength was evaluated by the Tsai-Wu and Yamada-Sun failure criterion on the characteristic curve. The predicted results of the joint strength were compared with experimental results.

A failure criterion for RC members under triaxial compression

  • Koksal, Hansan Orhun
    • Structural Engineering and Mechanics
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    • 제24권2호
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    • pp.137-154
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    • 2006
  • The reliable pushover analysis of RC structures requires a realistic prediction of moment-curvature relations, which can be obtained by utilizing proper constitutive models for the stress-strain relationships of laterally confined concrete members. Theoretical approach of Mander is still a single stress-strain model, which employs a multiaxial failure surface for the determination of the ultimate strength of confined concrete. Alternatively, this paper introduces a simple and practical failure criterion for confined concrete with emphasis on introduction of significant modifications into the two-parameter Drucker-Prager model. The new criterion is only applicable to triaxial compression stress state which is exactly the case in the RC columns. Unlike many existing multi-parameter criteria proposed for the concrete fracture, the model needs only the compressive strength of concrete as an independent parameter and also implies for the influence of the Lode angle on the material strength. Adopting Saenz equation for stress-strain plots, satisfactory agreement between the measured and predicted results for the available experimental test data of confined normal and high strength concrete specimens is obtained. Moreover, it is found that further work involving the confinement pressure is still encouraging since the confinement model of Mander overestimates the ultimate strength of some RC columns.

Hoek-Brown 파괴기준의 비선형성을 고려한 암반사면 안정성 평가의 수치해석적 연구 (Numerical Study on the Stability Analyses of Rock Slopes considering Non-linear Characteristics of Hoek-Brown Failure Criterion)

  • 천병식;이진무;최현석;서덕동
    • 한국지반환경공학회 논문집
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    • 제4권2호
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    • pp.77-91
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    • 2003
  • 연속체 해석을 위한 암반거동 모델로서 널리 이용되고 있는 Hoek-Brown 파괴기준은 1980년도에 발표된 이후 수차례의 수정 보완을 거쳐 1994년에 발표된 Generalized Hoek-Brown 파괴기준식을 토대로 현재 암반을 대상으로 한 지반구조물 해석에 많이 적용되고 있다. 그러나 지반구조물 수치해석시 Hoek-Brown 파괴기준의 적용은 일반적으로 등가의 Mohr-Coulomb 전단강도정수를 산정하여 간접적으로 이용하게 되는데, 이때 등가의 암반 전단강도정수를 암반내 주응력 분포와 상관없이 일정 상수로 적용함으로서 Hoek-Brown 파괴기준의 비선형성을 고려하지 못하는 단점이 있다. 따라서 본 연구에서는 암반사면의 안정성 평가를 위한 연속체 해석시 Hoek-Brown 파괴기준의 비선형성을 고려할 수 있는 해석기법을 검토하고, 수치해석기법에 의한 사면안정검토에 주로 이용되고 있는 강도감소법을 이용하여 암반사면의 안정성을 정량적으로 평가하고자 하였다. 특히 최근에 발표된 수정 Hoek-Brown 파괴기준을 토대로 수정된 등가 Mohr-Coulomb 강도정수 산정법과 사면굴착시 발파 및 응력이완에 의한 암반 교란/손상을 고려한 암반교란상수(Disturbance Factor) D을 이용하여 안정해석을 수행하였다.

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조합하중을 받는 Kraft 판지의 강도예측 (Strength Prediction of Kraft Paperboard under Combined Stress)

  • 임원균;정우길
    • 한국전산구조공학회논문집
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    • 제24권1호
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    • pp.17-22
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    • 2011
  • 본 논문에서는 Tsai-Hill기준을 변형하여 조합하중을 받는 이방성재료의 강도를 정확히 예측할 수 있는 새로운 파손기준을 제안하였다. 이 기준의 유효성은 조합하중을 받고 있는 Kraft 판지에 대한 실험결과와 비교하여 나타내었다. 재료축 방향의 전단응력이 주어진 경우, Tsai-Hill기준은 매우 보수적인 결과를 보여주고 있으나, 본 해석에서 제안한 기준은 실험 결과와 잘 일치하고 있다. 또한 Tan-Cheng기준과 비교하여 강도를 더욱 단순하게 해석할 수 있는 능력을 갖고 있다.

횡등방성 암석의 강도해석을 위한 이방성 Mohr-Coulomb 파괴조건식 (Anisotropic Version of Mohr-Coulomb Failure Criterion for Transversely Isotropic Rock)

  • 이연규;최병희
    • 터널과지하공간
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    • 제21권3호
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    • pp.174-180
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    • 2011
  • 횡등방성 암석의 강도해석에 활용할 목적으로 이방성 Mohr-Coulomb 파괴조건식을 제안하였다. 제안된 파괴조건식에서는 Pietruszczak & Mroz(2001)가 제안한 조직텐서를 도입하여 마찰각과 점착력을 조직텐서의 스칼라함수로 정의하였다. 두 강도정수의 이방성은 주응력좌표계와 재료 주좌표계의 상대적 회전을 바탕으로 계산된다. 이방성 파괴조건식을 최대로 하는 임계면을 찾는 방법이 Lagrange 승수법에 기초하여 제안되었다. 수치삼축압축 시험을 실시한 후 삼축압축강도와 파괴면 경사각 분석을 통하여 제안된 이방성 파괴함수의 성능을 검증하였다.

절리암반사면의 안정해석 방법에 관한 비교연구 (A Comarative study on slope stability modeling of highly fractured rock slopes)

  • 유충식;김선빈;양기호;정하승
    • 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.

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Strength criterion of plain recycled aggregate concrete under biaxial compression

  • He, Zhen-Jun;Liu, Gan-Wen;Cao, Wan-Lin;Zhou, Chang-Yang;Jia-Xing, Zhang
    • Computers and Concrete
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    • 제16권2호
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    • pp.209-222
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    • 2015
  • This paper presents results of biaxial compressive tests and strength criterion on two replacement percentages of recycled coarse aggregate (RPRCA) by mass for plain structural recycled aggregate concrete (RAC) at all kinds of stress ratios. The failure mode characteristic of specimens and the direction of the cracks were observed and described. The two principally static strengths in the corresponding stress state were measured. The influence of the stress ratios on the biaxial strengths of RAC was also analyzed. The experimental results showed that the ratios of the biaxial compressive strength ${\sigma}_{3f}$ to the corresponding uniaxial compressive strength $f_c$ for the two RAC are higher than that of the conventional concrete (CC), and dependent on the replacement percentages of recycled coarse aggregate, stress states and stress ratios; however, the differences of tensile-compressive ratios for the two RAC and CC are smaller. On this basis, a new failure criterion with the stress ratios is proposed for plain RAC under biaxial compressive stress states. It provides the experimental and theoretical foundations for strength analysis of RAC structures subject to complex loads.