• Title/Summary/Keyword: Hardening model

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Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening (변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법)

  • Baek, Ki Youl
    • Journal of Korean Society of Steel Construction
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    • v.19 no.3
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    • pp.291-301
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    • 2007
  • The overlay model is a certain kinds of numerical analysis method to present the material non-lineariy which is represented the baushinger effect and the strain hardening. This model simulates the complex behavior of material by controlling the properties of the layers which like the hardening ratio, the section area and the yield stress. In this paper, the constitutive equation and plastic flow rule of each layer which are laid in the plane stress field are obtained by using the thermodynamics. Two numerical examples were tested for the validity of proposed method in uniaxial stress and plane stress field with comparable experimental results. The only parameter for the test is the yield stress distribution of each layers.

Stress Integration Algorithm for an Anisotropic Hardening Constitutive Model of Geomaterials (지반재료의 비등방경화 구성모델에 대한 응력적분 알고리즘)

  • Oh Se-Boong;Lee Jin-Gu;Kim Tae-Gyeong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.343-350
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    • 2005
  • A constitutive model was implemented in ABAQUS code. The constitutive equation can model the behavior for overall range of strain level from small to large deformation, which is based on anisotropic hardening rule and total stress concept. The formulation includes (1) finite strain formulation on the basis of Jaumann rate, (2) implicit stress integration and (3) consistent tangent moduli. Therefore the mathematical background was established in order that large deformation analysis can be performed accurately and efficiently with the anisotropic constitutive model. In the large deformation analyses, geometric nonlinearity was considered and the result of analyses with the proposed model was compared with that of Mises model for the overall strain range behavior.

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An Effective Stress Based Constitutive Model on the Behavior under $K_0$ Condition ($K_0$조건하 거동에 대한 유효응력 구성모델)

  • Oh, Se-Boong;Kim, Wook;Park, Hui-Beom
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.121-128
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    • 2004
  • A constiutive model was proposed in order to model dilatancy under $K_0$ conditions. The model includes an anisotropic hardening rule with bounding surface and hypothetical peak stress ratio and dilatancy function which are dependent on a state parameter. The triaxial stress-strain relationship under $K_0$ conditions was calculated reasonably by the proposed model. In particular the model could consistently predict dilatancy in volume change, softening with peak strength and small strain behavior.

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Prediction for Stress-Strain Behavior of Remolded Clay using Single Surface Constitutive Model (Single Surface 구성모델을 이용한 재성형 점토의 응력-변형률 거동 예측)

  • 이강일
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.3
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    • pp.97-106
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    • 2000
  • The study is closely relevant to Lade's single work hardening model. This model has been shown to have good applicability to cohesive soils. However the validation of this model on the clayey soils has not been satisfactorily reported. To scrutinize the applicability of this model on clayey foundation the laboratory tests for Kwangyang clayey soils were performed using the improved cubical triaxial test apparatus designed originally by Lade. A computer program was developed by which soil parameters for the single work-hardening model can be rationally determined by deleting some dispersed test data generated usually at the initial stage of laboratory tests. And using the program numerical analysis of the cubical clayey specimens using intermediate principal stress was carried out and a good agreement between observed values and numerical results was found.

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The deformable multilaminate for predicting the Elasto-Plastic behavior of rocks

  • Haeri, Hadi;Sarfarazi, V.
    • Computers and Concrete
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    • v.18 no.2
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    • pp.201-214
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    • 2016
  • In this paper, a multilaminate based model have been developed and presented to predict the strain hardening behavior of rock. In this multilaminate model, the stress-strain behavior of a material is obtained by integrating the mechanical response of an infinite number of predefined oriented planes passing through a material point. Essential features such as the variable deformations hypothesis and multilaminate model are discussed. The methodology to be discussed here is modeling of strains on the 13 laminates passing through a point in each loading step. Upon the presented methodology, more attention has been given to hardening in non-linear behaviour of rock in going from the peak to residual strengths. The predictions of the derived stress-strain model are compared to experimental results for marble, sandstone and dense Cambria sand. The comparisons demonstrate the ability of this model to reproduce accurately the mechanical behavior of rocks.

Experimental and numerical modeling of uplift behavior of rectangular plates in cohesionless soil

  • Niroumand, Hamed;Kassim, Khairul Anuar
    • Geomechanics and Engineering
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    • v.6 no.4
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    • pp.341-358
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    • 2014
  • Uplift response of rectangular anchor plates has been investigated in physical model tests and numerical simulation using Plaxis. The behavior of rectangular plates during uplift test was studied by experimental data and finite element analyses in cohesionless soil. Validation of the analysis model was also carried out with 200 mm and 300 mm diameter of rectangular plates in sand. Agreement between the uplift responses from the physical model tests and finite element modeling using PLAXIS 2D, based on 200 mm and 300 mm computed maximum displacements were excellent for rectangular anchor plates. Numerical analysis using rectangular anchor plates was conducted based on hardening soil model (HSM). The research has showed that the finite element results gives higher than the experimental findings in dense and loose packing of cohesionless soil.

Uplift response of circular plates as symmetrical anchor plates in loose sand

  • Niroumand, Hamed;Kassim, Khairul Anuar
    • Geomechanics and Engineering
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    • v.6 no.4
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    • pp.321-340
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    • 2014
  • Uplift response of symmetrical circular anchor plates has been evaluated in physical model tests and numerical simulation using Plaxis. The behavior of circular anchor plates during uplift test was studied by experimental data and finite element analyses in loose sand. Validation of the analysis model was also carried out with 50 mm, 75 mm and 100 mm diameter of circular plates in loose sand. Agreement between the uplift responses from the physical model tests and finite element modeling using PLAXIS 2D, based on 100 mm computed maximum displacements was excellent for circular anchor plates. Numerical analysis using circular anchor plates was conducted based on hardening soil model (HSM). The research has showed that the finite element results gives higher than the experimental findings in the loose sand.

An interface element for modelling the onset and growth of mixed-mode cracking in aluminium and fibre metal laminates

  • Hashagen, Frank;de Borst, Rene
    • Structural Engineering and Mechanics
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    • v.5 no.6
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    • pp.817-837
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    • 1997
  • In the present contribution an interface crack model is introduced which is capable of modelling crack initialisation and growth in aluminium as well as in Fibre Metal Laminates. Interface elements are inserted in a finite element mesh with a yield function which bounds all states of stress in the interface. Hardening occurs after a state of stress exceeds the yield stress of the material. The hardening branch is bounded by the ultimate stress of the material. Thereafter, the state of stress is reduced to zero while the inelastic deformations grow. The energy dissipated by the inelastic deformations in this process equals the fracture energy of the material. The model is applied to calculate the onset and growth of cracking in centre cracked plates made of aluminium and GLARE$^{(R)}$. The impact of the model parameters on the performance of the crack model is studied by comparisons of the numerical results with experimental data.

Square plates as symmetrical anchor plates under uplift test in loose sand

  • Niroumand, Hamed;Kassim, Khairul Anuar
    • Geomechanics and Engineering
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    • v.6 no.6
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    • pp.593-612
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    • 2014
  • The uplift response of symmetrical square anchor plates has been evaluated in physical model tests and numerical simulations using Plaxis. The behavior of square anchor plates during uplift test was studied by experimental data and finite element analyses in loose sand. Validation of the analysis model was also carried out with 50 mm, 75 mm and 100 mm Length square plates in loose sand. Agreement between the uplift responses from the physical model tests and finite element modeling using PLAXIS 2D, based on 100 mm computed maximum displacements was excellent for square anchor plates. Numerical analysis using square anchor plates was conducted based on the hardening soil model (HSM). The research has shown that the finite element results are higher than the experimental findings in loose sand.

A Numerical Analysis of Eddy-Current Electromagnetic Field for the In-Process Measurement of Case Depth in Laser Surface Hardening Processes (레이저 표면경화공정에서 경화층깊이의 실시간 측정을 위한 와전류 전자기장의 이론적 해석)

  • 박영준;조형석;한유희
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.3
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    • pp.529-539
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    • 1994
  • In laser heat treatment process of steels, the thin layer of substrate is rapidly heated to the austenitizing temperature and subsequently cooled at a very fast rate due to the self-quenching effect. Consequently, it is transformed to martensitic structure which has low magnetic permeability. This observation facilitates the use of a sensor measuring the change of electromagnetic field induced by the hardening layer. In this paper, the eddy-current electromagnetic field is analyzed by a finite element method. The purpose of this analysis is to investigate how the electrical impedance of the sensor's sensing coil varies with the change in permeability. To achieve this, a numerical model is formulated, taking into consideration the hardening depth, distance of the sensor from the hardened surface and the frequency driving the sensor. The results obtained by numerical simulation show that the eddy-current measurement method can feasibly be used to measure the changing hardening depth within the frequency range from 10 kHz to 50 kHz.