• Title/Summary/Keyword: perfectly plastic

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Passive p-y curves for rigid basement walls supporting granular soils

  • Imad, Elchiti;George, Saad;Shadi S., Najjar
    • Geomechanics and Engineering
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    • v.32 no.3
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    • pp.335-346
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    • 2023
  • For structures with underground basement walls, the soil-structure-interaction between the side soil and the walls affects the response of the system. There is interest in quantifying the relationship between the lateral earth pressure and the wall displacement using p-y curves. To date, passive p-y curves in available limited studies were assumed elastic-perfectly plastic. In reality, the relationship between earth pressure and wall displacement is complex. This paper focuses on studying the development of passive p-y curves behind rigid walls supporting granular soils. The study aims at identifying the different components of the passive p-y relationship and proposing a rigorous non-linear p-y model in place of simplified elastic-plastic models. The results of the study show that (1) the p-y relationship that models the stress-displacement response behind a rigid basement wall is highly non-linear, (2) passive p-y curves are affected by the height of the wall, relative density, and depth below the ground surface, and (3) passive p-y curves can be expressed using a truncated hyperbolic model that is defined by a limit state passive pressure that is determined using available logarithmic spiral methods and an initial slope that is expressed using a depth-dependent soil stiffness model.

Application of Slip-line Method to the Evaluation of Plastic Zone around a Circular Tunnel (원형터널 주변의 소성영역 평가를 위한 slip-line 해석법 활용)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.32 no.5
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    • pp.312-326
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    • 2022
  • The generalized Hoek-Brown (GHB) criterion, which is recognized as one of the standard failure conditions for rock mass, is specialized for rock engineering applications and covers a wide range of rock mass conditions. Accordingly, many research efforts have been devoted to the incorporation of this criterion into the stability analysis of rock structures. In this study, the slip-line analysis method, which is a kind of elastoplastic analysis method, is combined with the GHB failure criterion to derive analytical equations that can easily calculate the plastic radius and stress distribution in the vicinity of the circular tunnel. In the process of derivation of related formulas, it is assumed that the behavior of rock mass after failure is perfectly plastic and the in-situ stress condition is hydrostatic. In the formulation, it is revealed that the plastic radius can be calculated analytically using the two respective tangential friction angles corresponding to the stress conditions at tunnel wall and elastic-plastic boundary. It is also shown that the plastic radius and stress distribution calculated using the derived analytical equations coincide with the results of Lee & Pietruszczak's numerical method published in 2008. In the latter part of this paper, the influence of the quality of the rock mass on the size of the plastic zone, the stress distribution, and the change of the tangential friction angle was investigated using the derived analytical equations.

The Analysis of Tunnel Excavation using Finite Difference Method (유한 차분법을 이용한 터널 단면 해석)

  • 김동후;유건선
    • Proceedings of the Korean Geotechical Society Conference
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    • 1991.10a
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    • pp.166-178
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    • 1991
  • Using FLAC, which is an explicit finite difference code written for analysis of problems in geotechnical engineering, a particular example 2 in the Korean Geothechnical Society News has been analysed. The elastoplasticity formulation in FLAC assumes an elastic, perfectly plastic solid in plane strain which conforms to a Mohr-Coulomb yield condition. During tunnel excavations by stages, stresses and diaplacements in region around the tunnel varies according to distance from the face of tunnel and installation of tunnel supports, and soon. In this analysis, the three dimensional support effect of the rock mass during the process of excavation is simulated by using the stress distribution method, and varying the material constants of shotcrete in each stage also considered. The maximum convergency is occured at the crown of the tunnel and estimated to be about 12mm.

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Tensile Design Criteria Evaluation of Cast-In-Place Anchor by Numerical Analysis (수치해석에 의한 직매형 앵커기초의 인장 설계기준 평가)

  • 장정범;서용표;이종림
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.209-216
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    • 2004
  • Numerical analysis is carried out to identify the appropriateness of the design codes that is available for the tensile design of fastening system at Nuclear Power Plant (NPP) in this study. This study is intended for the cast-in-place anchor that is widely used for the fastening of equipment in Korean NPPs. The microplane model and the elastic-perfectly plastic model are employed for the quasi-brittle material like concrete and for the ductile material like anchor bolt as constitutive model for numerical analysis and smeared crack model is employed for the crack and damage phenomena. The developed numerical model is verified on a basis of the various test data of cast-in-place anchor. The appropriateness of both ACI 349 Code and CCD approach of CEB-FIP Code is evaluated for the tensile design of cast-in-place anchor and it is proved that both design codes give a conservative results compared with real tensile capacity of cast-in-place anchor.

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Collision Behavior Evaluation of Flexible Concrete Mattress Depending on Material Models (재료모델에 따른 유연 콘크리트 매트리스의 충돌 거동 평가)

  • Ryu, Yeon-Sun;Cho, Hyun-Man;Kim, Seo-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.70-77
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    • 2015
  • The purpose of this study was to provide fundamental data for an anchor collision simulation of an FCM (flexible concrete mattress). Numerical material models (elastic-perfectly plastic model, Drucker-Prager model, and RHT concrete model) were compared. ANSYS Explicit Dynamics was used for collision analyses. An FE model was used for the anchor, FCM, andreinforcement bars. The results showed that the behavior of the FCM was verydifferent that those ofthe material models. In particular, the effect of the pressure dependent strength was most noticeable among the properties of concrete.

A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.4
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

New Flexural Failure Mechanisms for Uniform Compression Stress Fields (균일한 압축장에 대한 새로운 휨 형태의 파괴 매캐니즘)

  • 홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.546-551
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    • 1997
  • New typology of failure mechanisms for uniform compression fields are presented based on the classical theory of plasticity, in particular th normality rule, and the limit theorem. The concrete is assumed as a rigid-perfectly plastic material obeying the modified Coulomb failure criteria with zero tension cut-off. The failure mechanisms are capable of explaining flexural types of crushing failure in uniaxial uniform compression stress fields which are called struts in truss models. The failure mechanisms consist of sliding failure along straight failure lines or hyperbolic failure curves and rigid body rotation. The failure mechanisms involving straight failure lines are explained by constant strain expansion in the first principal direction and rigid body rotation motion. The failure mechanisms presented are applied to the explanation of bond failure of bar combined with concrete crushing failure and flexural crushing failure of concrete.

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An Application of Plasticity Model for Ice Deformation Characteristics (수변형 특성에 있어서 소성 모델의 응용)

  • Choe, Gyeong-Sik
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.15-21
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    • 1990
  • This study focuses the mechanical deformation response predicted by the plasticity model for polycrystalline ice. To describe various deformation characteristics, ice is idealized as a perfectly plastic material using an asymptotic exponential failure criterion. This criterion is suite for describing materials which exhibit brittle deformation at low hydrostatic pressure and ductile deformation at high hydrostatic pressure. The results are compared to those of continuum damage mechanics model. Plasticity model shows good agreement with damage model and experimental results for high confining pressures even at high strain-rates which is usually considered as a brittle condition under uniaxial compression.

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An Application of Plasticity Model for Ice Deformation Characteristics (수변형 특성에 있어서 소성 모델의 응용)

  • Choe, Gyeong-Sik
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.165-165
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    • 1990
  • This study focuses the mechanical deformation response predicted by the plasticity model for polycrystalline ice. To describe various deformation characteristics, ice is idealized as a perfectly plastic material using an asymptotic exponential failure criterion. This criterion is suite for describing materials which exhibit brittle deformation at low hydrostatic pressure and ductile deformation at high hydrostatic pressure. The results are compared to those of continuum damage mechanics model. Plasticity model shows good agreement with damage model and experimental results for high confining pressures even at high strain-rates which is usually considered as a brittle condition under uniaxial compression.

Effect of Creep Mismatch Factor on Stress Redistribution in Welded Branch (분기관 용접부의 크리프 특성 불균일이 응력 재분배에 미치는 영향)

  • Lee, Kuk-Hee;Kim, Yun-Jae;Yoo, Kee-Bong;Nikbin, Kamran;Dean, Dave
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.293-298
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    • 2008
  • This paper attempts to quantify the effect of mismatch in creep properties on steady-state stress distributions for a welded branch vessel. A particular geometry for the branch vessel is chosen. The vessel is modeled by only two materials, the base and weld metal. Idealized power law creep laws with the same creep exponents are assumed for base and weld metals. A mismatch factor is introduced, as a function of the creep constant and exponent. Steady-state stress distributions within the weld metal, resulting from threedimensional, elastic-creep finite element (FE) analyses, are then characterized by the mismatch factor. We can find that average stresses in the weld can be characterized by the mis-match factor. And there is an analogy between elastic-creep and elastic-perfectly plastic.

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