• Title/Summary/Keyword: solution cavity

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A new approach for the cylindrical cavity expansion problem incorporating deformation dependent of intermediate principal stress

  • Zou, Jin-Feng;Xia, Ming-yao
    • Geomechanics and Engineering
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    • v.12 no.3
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    • pp.347-360
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    • 2017
  • The problem of cylindrical cavity expansion incorporating deformation dependent of intermediate principal stress in rock or soil mass is investigated in the paper. Assumptions that the initial axial total strain is a non-zero constant and the axial plastic strain is not zero are defined to obtain the numerical solution of strain which incorporates deformation-dependent intermediate principal stress. The numerical solution of plastic strains are achieved by the 3-D plastic potential functions based on the M-C and generalized H-B failure criteria, respectively. The intermediate principal stress is derived with the Hook's law and plastic strains. Solution of limited expansion pressure, stress and strain during cylindrical cavity expanding are given and the corresponding calculation approaches are also presented, which the axial stress and strain are incorporated. Validation of the proposed approach is conducted by the published results.

Use of the Thermodynamic Solution Properties of Xenon in n-Alkanes for the Examination of Models for the Cavity Formation Process

  • Park, Jung-Hag;Brady, James E.;Carr, Peter W.
    • Bulletin of the Korean Chemical Society
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    • v.10 no.3
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    • pp.309-314
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    • 1989
  • The interaction energies of Xenon in n-alkanes were estimated by using three models for the cavity formation process, Hildebrand's regular solution theory, Pierotti's scaled particle theory and Sinanoglu-Reiss-Moura-Ramos' solvophobic theory in an attempt to examine the validity of three models. It appears that Pierotti's implementation of scaled particle theory yields a reasonable estimate of cavity formation energy over a considerable range in solvent size provided that the solute is spherical enough as are the inert gases.

A semi-analytical solution to spherical cavity expansion in unsaturated soils

  • Tang, Jianhua;Wang, Hui;Li, Jingpei
    • Geomechanics and Engineering
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    • v.25 no.4
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    • pp.283-294
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    • 2021
  • This paper presents a rigorous solution for spherical cavity expansion in unsaturated soils under constant suction condition. The hydraulic behavior that describes the saturation-suction relationship is modeled by a void ratio-dependent soil-water characteristic curve, which allows the hydraulic behavior to fully couple with the mechanical behavior that is described by an extended critical state soil model for unsaturated soil through the specific volume. Considering the boundary condition and introducing an auxiliary coordinate, the problem is formulated to a system of first-order differential equations with three principal stress components and suction as basic unknowns, which is solved as an initial value problem. Parameter analyses are conducted to investigate the effects of suction and the overconsolidation ratio on the overall expansion responses, including the pressure-expansion response, the distribution of the stress components around the cavity, and the stress path of the soil during cavity expansion. The results reveal that the expansion pressures and the distribution of the stress components in unsaturated soils are generally higher than those in saturated soils due to the existence of suction.

Prevention of Uterine Adhesion by Sodium Carboxymethylcellulose in Dogs (Sodium Carboxymethylcellulose를 이용한 개의 자궁 유착 방지)

  • 강윤호;정종태;연성찬
    • Journal of Veterinary Clinics
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    • v.17 no.2
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    • pp.381-387
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    • 2000
  • Efficacy of a 1% solution of sodium carboxymethylcellulose (SCMC) infu7ed into the peritoneal cavity of dogs was evaluated for prevention of intraperitoneal adhesion, resulting from operations of the reproductive tract. Saline-treated deles (n = 5) were controls that underwent ventral midline celiotomy, and adhesions were cleated by incision and scraping about 5 cm segment of each uterine horn. Saline (7 ml/kg of body weight) was then infused into the peritoneal cavity. Others (n = 5) were treaded similarly to the saline-treated dogs. except that 1% SCMC :solution (7mH/kg of body weight) was infused into the peritoneal cavity. This group was studied to determine whether SCHC would prevent the adhesions in the peritoneal cavity, especially in the uterine horn model. Abdominal adhesions were evaluated and an adhesion severity score was assigned to each dog on the basis of severity of adhesions. At the time of necropsy. the mean adhesion score in the saline treated group was $2.65{\pm}0.22.$ In contrast, adhesion formation in the SCMC treated group was less ($mean score =1.70{\pm}0.26$). Statistic71 analysis was performed using the grouped t-test and paired t-test. A significanlty lower adhesion score was observed in dogs given SCMC than in the saline treated group (P<0.01). In summary, SCMC significantly reduced adhesion formation in the dog uterine horn model. The results of this study suggest that application of 1% SCMC solution, following various reproductive pelvic surgery, will present the adhesions.

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A numerical analysis of driven cavity flow using singular finite element method (모서리특이성이 존재하는 유체유동의 특이유한요소를 이용한 수치해석적 연구)

  • ;;Lee, Jin Hee
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.11
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    • pp.2971-2980
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    • 1995
  • A numerical study of fluid flow in driven cavity was carried out using singular finite element method. The driven cavity problem is known to have infinite velocity gradients as well as dual velocity conditions at the singular points. To overcome such difficulties, a finite element method with singular shape functions was used and a special technique was employed to allow multiple values of velocities at the singular points. Application of singular elements in the driven cavity problem has a significant influence on the stability of solution. It was found the singular elements gave a stable solution, especially, for the pressure distribution of the entire flow field by keeping up a large pressure at the singular points. In the existing solutions of driven cavity problem, most efforts were focused on the study of streamlines and vorticities, and pressure were seldom mentioned. In this study, however, more attention was given to the pressure distribution. Computations showed that pressure decreased very rapidly as the distance from the singular point increased. Also, the pressure distribution along the vertical walls showed a smoother transition with singular elements compared to those of conventional method. At the singular point toward the flow direction showed more pressure increase compared with the other side as Reynolds number increased.

A design and construction for reinforcement of bridge foundations on the limestone cavities (교량기초를 위한 석회암 공동지반의 지반보강 설계 및 시공)

  • 박종호;최용기;한현희;김태훈;박용원
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.03a
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    • pp.205-212
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    • 2002
  • Carbonate rocks such as limestone are susceptible to solution and show numerous solution cavities. For the construction of the structures such as bridge foundations and tunnel on the limestone cavities, the geological unconformities developed in the bed rocks, cavity systems and the filling types of solution deposits should be surveyed and analyzed. And also, the stability of structures on the limestone cavities must be taken into consideration in the view of the geotechnical engineering. As a result of analysis of the foundation settlement, an economic and effective reinforcement method is to be proposed and the construction by the proposed method is to be accompanied with verification of reinforcement effect. This paper is a case study of design and construction for the reinforcement of bridge foundations on the limestone cavity covered with thick bedded colluvial soils.

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Numerical Study on Natural Convectionin a Doubly-Inclined Cubical-Cavity (이중으로 경사진 3차원 캐비티내 자연대류 열전달현상에 관한 수치해석적 연구)

  • Myong, Hyon-Kook
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.12
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    • pp.1002-1008
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    • 2007
  • Natural convection flows in a doubly-inclined cubical air-filled cavity are numerically simulated by a solution code(PowerCFD) using unstructured cell-centered method. For a physical realizability, the cavity has one pair of opposing isothermal faces at different temperatures, $T_h\;and\;T_c$, respectively, the remaining four faces having a linear variation from $T_c\;to\;T_h$. The paper redefines a new doubly-inclined orientation for the cubical-cavity benchmark problem. Special attention is paid to three-dimensional thermal characteristics in natural convection according to the new orientation at $Ra=4\times10^4$. Comparisons of the average Nusselt number at the cold face are made with benchmark solutions and experimental results found in the literature. It is found that the average Nusselt number at the cold face has a maximum value at the doubly-inclined angle ranging from $40^{\circ}\;to\; 45^{\circ}$ We also report the effect of new orientation on the type of temperature structure in a doubly-inclined cubical-cavity.

Seismic Response Analysis of Soil-Pile-Structure Interaction System considering the Underground Cavity (지중공동을 고려한 지반-말뚝-구조물 상호작용계의 지진응답해석)

  • 김민규;임윤묵;김문겸;이종세
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.117-124
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    • 2002
  • The major purpose of this study is to determine the dynamic behavior of soil-pile-structure interaction system considering the underground cavity. For the analysis, a numerical method fur ground response analysis using FE-BE coupling method is developed. The total system is divided into two parts so called far field and near field. The far field is modeled by boundary element formulation using the multi-layered dynamic fundamental solution that satisfied radiational condition of wave. And this is coupled with near field modeled by finite elements. For the verification of dynamic analysis in the frequency domain, both forced vibration analysis and free-field response analysis are performed. The behavior of soil non-linearity is considered using the equivalent linear approximation method. As a result, it is shown that the developed method can be an efficient numerical method to solve the seismic response analysis considering the underground cavity in 2D problem.

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NUMERICAL SIMULATION OF NATURAL CONVECTION IN A CUBICAL-CAVITY BY UNSTRUCTURED CELL-CENTERED METHOD (비정렬 셀 중심 방법에 의한 3차원 캐비티내의 자연대류 현상에 관한 수치해석)

  • Myong H. K.;Kim J. E.
    • 한국전산유체공학회:학술대회논문집
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    • 2005.10a
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    • pp.61-66
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    • 2005
  • Natural convection flows in a cubical, air-filled cavity that has one pair of opposing faces isothermal at different temperatures, Th and Tc, the remaining faces having a linear variation from Tc to Th are numerically simulated by a new solution code(PowerCFD) using unstructured cell-centered method. Solutions are obtained for configurations with a Rayleigh number as high as 105 and three inclination angles ${\theta}$ of the isothermal faces from horizontal: namely ${\theta}=0$, 45 and $90^{\circ}$. Interesting features are presented in detail and comparisons are made with benchmark solutions and experimental results found in the literature. It is found that the code is capable of producing accurately the nature of the laminar convection in a cubical, air-filled cavity with differentially heated walls.

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End Bearing Capacity of a Single Pile in Cohesionless Soils using Cavity Expansion Concept (공동확장개념에 의한 사질토에서의 말뚝의 선단지지각 해석)

  • 이명환
    • Geotechnical Engineering
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    • v.5 no.1
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    • pp.35-46
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    • 1989
  • To analyse the end bearing capacity of a single pile in cohesionless soils, the mode of deformation due to a pile penetration has been intestigated through model pile penetration tests using acetone hardening and resin impregnation technique. A new mode of deformation has been assumed from the experimental results and a new solution compeying with the theory of spherical cal.its expansion has been proposed. The end bearing capacity according to the proposed solution is expressed as the product of the limit spherical cavity expansion pressure multiplied by a col.relation factor. The results has been compared with other solutions based on the theory of cavity expansion. From the comparison, the proposed solution is expected to provide a way to solve the problem of pile bearing capacity prediction based on the theory of cavity expansion which often has been criticized as giving higher value of pile bearing capacity than the actual value.

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