• 제목/요약/키워드: general strength criterion

검색결과 34건 처리시간 0.019초

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.

LE analysis on unsaturated slope stability with introduction of nonlinearity of soil strength

  • Deng, Dong-ping;Lu, Kuan;Li, Liang
    • Geomechanics and Engineering
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    • 제19권2호
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    • pp.179-191
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    • 2019
  • Based on the effective stress principle, a new formula for shear strength of unsaturated soil is derived under the general nonlinear Mohr-Coulomb (M-C) strength criterion to improve the classical strength criterion of unsaturated soil. Meanwhile, the simple irrigation model under steady seepage is adopted to obtain the distribution of the matrix suction or the degree of saturation (DOS) above the groundwater table in the slope. Then, combined with the improved strength criterion of unsaturated soil and the simple irrigation model under steady seepage, the limit equilibrium (LE) solutions for the unsaturated slope stability are established according to the global LE conditions of the entire sliding body with assumption of the stresses on the slip surface. Compared to the classical strength criterion of unsaturated soil, not only the cohesion soil but also the internal friction angle is affected by the matric suction or the DOS in the improved strength criterion. Moreover, the internal friction angle related to the matric suction has the nonlinear characteristics, particularly for a small of the matric suction. Thereafter, the feasibility of the present method is verified by comparison and analysis on some slope examples. Furthermore, stability charts are also drawn to quickly analyze the unsaturated slope stability.

Normative Measurements of Grip and Pinch Strengths of 21st Century Korean Population

  • Shim, Jin Hee;Roh, Si Young;Kim, Jin Soo;Lee, Dong Chul;Ki, Sae Hwi;Yang, Jae Won;Jeon, Man Kyung;Lee, Sang Myung
    • Archives of Plastic Surgery
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    • 제40권1호
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    • pp.52-56
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    • 2013
  • Background Measuring grip and pinch strength is an important part of hand injury evaluation. Currently, there are no standardized values of normal grip and pinch strength among the Korean population, and lack of such data prevents objective evaluation of post-surgical recovery in strength. This study was designed to establish the normal values of grip and pinch strength among the healthy Korean population and to identify any dependent variables affecting grip and pinch strength. Methods A cross-sectional study was carried out. The inclusion criterion was being a healthy Korean person without a previous history of hand trauma. The grip strength was measured using a Jamar dynamometer. Pulp and key pinch strength were measured with a hydraulic pinch gauge. Intra-individual and inter-individual variations in these variables were analyzed in a standardized statistical manner. Results There were a total of 336 healthy participants between 13 and 77 years of age. As would be expected in any given population, the mean grip and pinch strength was greater in the right hand than the left. Male participants (137) showed mean strengths greater than female participants (199) when adjusted for age. Among the male participants, anthropometric variables correlated positively with grip strength, but no such correlations were identifiable in female participants in a statistically significant way. Conclusions Objective measurements of hand strength are an important component of hand injury evaluation, and population-specific normative data are essential for clinical and research purposes. This study reports updated normative hand strengths of the South Korean population in the 21st century.

Effect of the yield criterion on the strain rate and plastic work rate intensity factors in axisymmetric flow

  • Lyamina, Elena A.;Nguyen, Thanh
    • Structural Engineering and Mechanics
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    • 제58권4호
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    • pp.719-729
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    • 2016
  • The main objective of the present paper is to study the effect of the yield criterion on the magnitude of the strain rate and plastic work rate intensity factors in axisymmetric flow of isotropic incompressible rigid perfectly plastic material by means of a problem permitting a closed-form solution. The boundary value problem consisting of the axisymmetric deformation of a plastic tube is solved. The outer surface of the tube contracts. The radius of the inner surface does not change. The material of the tube obeys quite a general yield criterion and its associated flow rule. The maximum friction law is assumed at the inner surface of the tube. Therefore, the velocity field is singular near this surface. In particular, the strain rate and plastic work rate intensity factors are derived from the solution. It is shown that the strain rate intensity factor does not depend on the yield criterion but the plastic work rate intensity factor does.

복합 연속체 파괴 역학에 기초한 초고강도강 판재의 구멍 넓힘 시험 성형성 평가 (Formability Evaluation of Advanced High-strength Steel Sheets in Role Expansion Based on Combined Continuum-Fracture Mechanics)

  • 마닝;박태준;김돈건;유동훈;;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 추계학술대회 논문집
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    • pp.227-230
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    • 2009
  • In order to predict failure behavior of advanced high-strength steel sheets (AHSS) in hole expansion tests, damage model was developed considering surface condition sensitivity (with specimens prepared by milling and punching: 340R, TRIP590, TWIP940). To account for the micro-damage initiation and evolution as well as macro-crack formation, the stress triaxiality dependent fracture criterion and rate-dependent hardening and ultimate softening behavior were characterized by performing numerical simulations and experiments for the simple tension and V-notch tests. The developed damage model and the characterized mechanical property were incorporated into the FE program ABAQUS/Explicit to perform hole expansion simulations, which showed good agreement with experiments.

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복합 연속체-파괴 역학에 기초한 초고강도강의 충격 특성 평가 (Impact Performance Evaluation of Advanced High-strength Steel Sheets Based on Combined Continuum-Fracture Mechanics)

  • 마닝;박태준;김돈건;석동윤;;정관수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 추계학술대회 논문집
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    • pp.231-234
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    • 2009
  • Based on combined continuum-fracture mechanics, fracture criterion was utilized to predict impact performance of advanced high-strength steel sheets: 340R and TWIP940. The macro-crack propagation behavior at high stress triaxiality was characterized by V-notch tests while deformation behavior at high strain rate was characterized by simple tension tests with various cross head speeds. The characterized mechanical properties were incorporated into the FE program ABAQUS/Explicit to simulate the charpy impact tests, which showed good agreement with experiments.

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임계면법을 이용한 횡등방성 암석의 강도 예측 (Prediction of Strength for Transversely Isotopic Rock Based on Critical Plane Approach)

  • 이연규
    • 터널과지하공간
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    • 제17권2호
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    • pp.119-127
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    • 2007
  • 임계면법을 적용하여 횡등방성 암석의 강도이방성을 해석하는 방법을 제안하였다. 암석의 파괴는 Hoek-Brown 파괴기준을 따르는 것으로 가정하였다. Hoek-Brown의 경험적 파괴기준식에 대응되는 Mohr 포착선식을 이용하고 강도상수인 m과 s를 방향에 따른 스칼라 함수로 정의하여 이방성 파괴함수를 구성하였다. 이방성 파괴함수를 최대고 하는 임계면의 방향을 찾기 위하여 직접 최적화기법의 하나인 공액구배법을 적용하였다. 횡등방성 안석에 대한 기존 이방성 강도모델이 대부분 삼축압축실험과 동일한 응력조건에서만 적용할 수 있는데 반하여 이 연구에서 제안된 방법은 일반적인 3차원 응력조건에도 쉽게 적용할 수 있다는 장점을 가지고 있다. 삼축압축실험의 모사를 통하여 얻어진 삼축압축강도와 파괴면의 경사에 분석을 통하여 제안된 방법의 적합성을 검토하였다.

Hoek-Brown 공식을 이용한 현장타설말뚝의 주면마찰력 산정 (Estimation of Shaft Resistance of Drilled Shafts Based on Hoek-Brown Criterion)

  • 사공명;백규호
    • 한국지반공학회논문집
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    • 제19권1호
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    • pp.209-220
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    • 2003
  • 현장타설말뚝의 주변마찰력을 산정하기 위하여 Hoek-Brown 모델의 일반공식이 수정되었다. 원지반 상태를 고려하는 Hoek-Brown의 일반공식에 근거하여 본 연구에서 제안된 단위주변면마찰력의 산정기법은 이전 원지반 무결암의 일축 압축강도만을 고려하여 단위주면마찰력을 산정하는 방법에 비해 상당한 뛰어난 적용성을 보인다. 본 연구에서 제안된 방법을 이용하여 암반에 근입된 현장타설말뚝의 단위주면마찰력에 대한 상한계와 하한계를 구성하는 것이 가능하며, 기존 문헌에 보고된 단위주면마찰력에 대한 시험결과의 대부분이 이 두 범위에 존재하는 것으로 확인되었다. 또한 제안된 방법을 통해 단위주면마찰력을 산정할 때 입력 변수에 대한 기본적인 가정만으로도 예측치와 측정치간에는 훌륭한 상관관계를 보였다. 여기서 도출된 상관관계식을 기존의 공식들과 비교한 결과 무결암의 강도가 작은 경우에는 Horvath와 Kenney의 제안식이, 그리고 암의 강도가 큰 경우에는 Rosenberg와 Journeaux의 제안식이 상관식과 근사한 결과를 보였다. 한편 GSI 및 구속압에 대한 영향분석을 수행한 결과 두 인자들과 정규화된 단위주면마찰력은 동반 상승하는 관계를 보였으며, 단위주면마찰력의 산정식이 멱함수의 형태일 경우에는 단위주면마찰력과 일축압축 강도 사이에 적용되는 계수는 GSI 및 구속응력에 따라 변하는 것으로 관측되었다.

등가강도 개념에 의한 탄소섬유 복합재료의 이축강도 및 피로수명 예측 (Prediction of Biaxial Strength and Fatigue Life using the Concept of Equivalent Strength)

  • 이창수;황운봉
    • Composites Research
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    • 제12권2호
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    • pp.53-61
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    • 1999
  • 복합재료의 파단식은 강도계수의 산정이 쉽고, 형상이 유연하며, 논리적인 단순성을 유지하기 위하여 각 파단모드와 하중조건을 고려하는 것이 바람직하다. 본 연구에서는 인장 및 비틀림의 이축하중에 대한 등가강도를 도입함으로써 새로운 파단식을 유도하였다. 이축 실험 결과는 등가이축강도가 cos($tan^{-1}R_b$)의 지수함수로 표현됨을 보였다. 이축하중의 파단강도는 일방향 인장강도 및 비틀림강도와 이축비의 함수로 예측할 수 있다. 실험 데이터의 산포성은 Weibull 분포함수와 등가이축강도 개념을 이용하여 분석하였다. 또한, 일방향 인장 및 비틀림 S-N 선도로부터 복합하중하의 S-N 선도를 구할 수 있는 피로해석법을 평면 응력 모델을 기반으로 개발하였다. 예측결과는 적층복합재료의 이축강도와 피로수명의 실험 데이터와 잘 일치하였다.

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정선지역 철광산에 분포하는 암석의 역학적 특성 (The Mechanical Properties of Rocks Distributed at a Metal Mine in Jeongseon)

  • 김종우;박찬;김주환;허석;김동규;이동길;조영도;박삼규
    • 터널과지하공간
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    • 제25권3호
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    • pp.231-243
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    • 2015
  • 본 연구에서는 최근 재개발되고 있는 정선지역의 철광산에서 현장 초기지압 시험과 수많은 암석 실내시험을 실시하였다. 본 광산의 측압계수는 심도가 깊어질수록 작아지는 경향을 보였으며 평균값은 1.10으로 나타났다. 본 광산에 주로 분포하는 네 가지 암종인 백운암, 규장암, 화강암, 철광석에 대한 실내시험을 통해 암석의 단위중량, 공극률, 흡수율, 탄성파속도, 일축압축강도, 영률, 포와송비, 인장강도, 쇼어경도, 내부마찰각, 점착력 등의 각종 역학적 특성을 조사하였다. 실내시험 결과의 통계분석을 통해 암종별 물성을 비교하였고 물성 상호간의 관련성을 검토하였는데, 철광석보다는 규장암이나 화강암의 강도특성이 더 컸으며 암석 물성 간의 일반적인 상관관계와는 반대되는 현상도 발견되었다. 또한 Mohr-Coulomb 파괴조건과 Hoek-Brown 파괴조건을 적용하여 네 가지 암석의 파괴조건을 해석하였다.