• Title/Summary/Keyword: stress and strain distributions

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Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method

  • Shang, Shen;Yun, Gun Jin;Kunchum, Shilpa;Carletta, Joan
    • Structural Engineering and Mechanics
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    • v.45 no.4
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    • pp.471-494
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    • 2013
  • In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated.

The ground response curve of underwater tunnels, excavated in a strain-softening rock mass

  • Fahimifar, Ahmad;Ghadami, Hamed;Ahmadvand, Masoud
    • Geomechanics and Engineering
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    • v.8 no.3
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    • pp.323-359
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    • 2015
  • This paper presents an elasto-plastic model for determination of the ground response curve of a circular underwater tunnel excavated in elastic-strain softening rock mass compatible with a nonlinear Hoek-Brown yield criterion. The finite difference method (FDM) was used to propose a new solution to calculate pore water pressure, stress, and strain distributions on periphery of circular tunnels in axisymmetric and plain strain conditions. In the proposed solution, a modified non-radial flow pattern, for the hydraulic analysis, is utilized. To evaluate the effect of gravitational loads and variations of pore water pressure, the equations concerning different directions around the tunnel (crown, wall, and floor) are derived. Regarding the strain-softening behavior of the rock mass, the stepwise method is executed for the plastic zone in which parameters of strength, dilatancy, stresses, strains, and deformation are different from their elasto-plastic boundary values as compared to the tunnel boundary values. Besides, the analytical equations are developed for the elastic zone. The accuracy and application of the proposed method is demonstrated by a number of examples. The results present the effects of seepage body forces, gravitational loads and dilatancy angle on ground response curve appropriately.

Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and vibration solutions

  • Alimirzaei, S.;Mohammadimehr, M.;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.485-502
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    • 2019
  • In this research, the nonlinear static, buckling and vibration analysis of viscoelastic micro-composite beam reinforced by various distributions of boron nitrid nanotube (BNNT) with initial geometrical imperfection by modified strain gradient theory (MSGT) using finite element method (FEM) are presented. The various distributions of BNNT are considered as UD, FG-V and FG-X and also, the extended rule of mixture is used to estimate the properties of micro-composite beam. The components of stress are dependent to mechanical, electrical and thermal terms and calculated using piezoelasticity theory. Then, the kinematic equations of micro-composite beam using the displacement fields are obtained. The governing equations of motion are derived using energy method and Hamilton's principle based on MSGT. Then, using FEM, these equations are solved. Finally the effects of different parameters such as initial geometrical imperfection, various distributions of nanotube, damping coefficient, piezoelectric constant, slenderness ratio, Winkler spring constant, Pasternak shear constant, various boundary conditions and three material length scale parameters on the behavior of nonlinear static, buckling and vibration of micro-composite beam are investigated. The results indicate that with an increase in the geometrical imperfection parameter, the stiffness of micro-composite beam increases and thus the non-dimensional nonlinear frequency of the micro structure reduces gradually.

Fracture mechanics analysis of multipurpose canister for spent nuclear fuels under horizontal/oblique drop accidents

  • Jae-Yoon Jeong;Cheol-Ho Kim;Hune-Tae Kim;Ji-Hye Kim;Yun-Jae Kim
    • Nuclear Engineering and Technology
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    • v.55 no.12
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    • pp.4647-4658
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    • 2023
  • In this paper, elastic-plastic fracture mechanics analysis is performed to determine the critical crack sizes of the multipurpose canister (MPC) manufactured using austenitic stainless steel under dynamic loading conditions that simulate drop accidents. Firstly, dynamic finite element (FE) analysis is performed using Abaqus v.2018 with the KORAD (Korea Radioactive Waste Agency)-21 model under two drop accident conditions. Through the FE analysis, critical locations and through-thickness stress distributions in the MPC are identified, where the maximum plastic strain occurs during impact loadings. Then, the evaluation using the failure assessment diagram (FAD) is performed by postulating an external surface crack at the critical location to determine the critical crack depth. It is found that, for the drop cases considered in this paper, the principal failure mechanism for the circumferential surface crack is found to be the plastic collapse due to dominant high bending axial stress in the thickness. For axial cracks, the plastic collapse is also the dominant failure mechanism due to high membrane hoop stress, followed by the ductile tearing analysis. When incorporating the strain rate effect on yield strength and fracture toughness, the critical crack depth increases from 10 to 20%.

Identification of the Bulk Behavior of Coatings by Nanoindentation Test and FE-Simulation and Its Application to Forming Analysis of the Coated Steel Sheet (나노인덴테이션 시험과 유한요소해석을 이용한 자동차 도금 강판의 도금층 체적 거동결정 및 성형해석 적용)

  • Lee, Jung-Min;Lee, Kyoung-Su;Ko, Dae-Cheol;Kim, Byung-Min
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.11 s.254
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    • pp.1425-1432
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    • 2006
  • Coating layers on a coated sheet steel frequently affect distributions of strain rate of sheets and deteriorate the frictional characteristics between sheets and tools in sheet metal forming. Thus, it is important to identify the deformation behavior of these coatings to ensure the success of the sheet forming operation. In this study, the technique using nano-indentation test, FE-simulation and Artificial Neural Network(ANN) were proposed to determine the power law stress-strain behavior of coating layer and the power law behavior of extracted coating layers was examined using FE-simulation of drawing and nano-indentation process. Also, deep drawing test was performed to estimate the formability and frictional characteristic of coated sheet, which was calculated using the linear relationship between drawing force and blank holding force obtained from the deep drawing test. FE-simulations of the drawing process were respectively carried out for single-behavior FE-model having one stress-strain behavior and for layer-behavior FE-model which consist of coating and substrate separately. The results of simulations showed that layer-behavior model can predict drawing forces with more accuracy in comparison with single-behavior model. Also, mean friction coefficients used in FE-simulation signify the value that can occur maximum drawing force in a drawing test.

Deformation Measurement of Polymer Scaffold Using Particle Image Analysis (입자 영상 해석을 이용한 고분자 지지체 변형 측정)

  • Kang, Min Je;Oh, Sang Hoon;Rhee, Kyehan
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.1
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    • pp.69-75
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    • 2016
  • Polydimethylsiloxane (PDMS) is used as a scaffold for cell culture. Because both the stress and strain acting on the substrate and the hemodynamic environment are important for studying mechano-transduction of cellular function, the traction force of the surface of a substrate has been measured using fluorescence images of particle distribution. In this study, deformation of the cross-sectional plane of a PDMS block was measured by correlating particle image distributions to validate the particle image strain measurement technique. Deformation was induced by a cone indentor and a shearing parallel plate. Measured deformations from particle image distributions were in agreement with the results of a computational structure analysis using the finite-element method. This study demonstrates that the particle image correlation method facilitates measurement of deformation of a polymer scaffold in the cross-sectional plane.

Evaluation of Fracture Toughness considering Constraint Effect of Reactor Pressure Vessel Nozzle (원자로압력용기 노즐부 구속효과를 고려한 파괴인성 평가)

  • Kweon, Hyeong Do;Lee, Yun Joo;Kim, Dong Hak;Lee, Do Hwan
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.15 no.1
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    • pp.71-76
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    • 2019
  • Actual stress distributions in the nozzle of a pressure vessel may not be in plane strain condition, implying that the crack-tip constraint condition may be relaxed in the nozzle. In this paper, a methodology for evaluating the fracture toughness of the ASME Code is presented considering the relaxation of the constraint effect in the nozzle of the reactor pressure vessel. The crack-tip constraint effect is quantified by the T-stress. The equation, which represent the relation between the fracture toughness in the lower constraint condition and the plane strain fracture toughness, is derived using the T-stress. This equation is similar to the method for evaluating the fracture toughness of the Master Curve for low constraint conditions. As a result of evaluating the fracture toughness considering the constraint effect in the reactor inlet, outlet and direct injection nozzles using the proposed equation, it was confirmed that the fracture toughness in the nozzles is higher than the plane strain fracture toughness. Applying the proposed evaluation methodology, it is possible to reflect the relaxation of the constraint effect in the nozzles of the reactor pressure vessel, therefore, the safe operation area on the pressure-temperature limit curve can be prevented from being excessively limited.

Fatigue Failure Model for the Adhesively Bonded Tubular Single Lap Joint Under Torsional Fatigue Loadings (비틀림 하중하에서의 튜브형 단면겹치기 접착조인트의 피로파괴모델에 관한 연구)

  • 이수정;이대길
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1869-1875
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    • 1995
  • The adhesively bonded tubular single lap joint shows a nonlinear relationship between the applied torque and the resulting displacement under the static-torsional loading, which is induced from the nonlinear properties of the adhesive. However the torque transmission capability in the case of the dynamic-torsional loading is much less than that in the case of the static-torsional loading, the stress level of the adhesive is usually in the region of the linear stress and strain relation and the stress distributions of the joint can be obtained by the linear analysis. In this paper, a failure model for the adhesively bonded tubular single lap joint under the torsional fatigue loading was developed with respect to the adhesive thickness that was a critical factor in predicting the static torque transional-cyclic loadings was proposed.

Finite Element Analysis of a Burnishing Process for the Inner Surface of a Cylinder (실린더 내벽의 버니싱 공정에 대한 유한요소해석)

  • Park, J.J.
    • Transactions of Materials Processing
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    • v.19 no.6
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    • pp.372-377
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    • 2010
  • Elasto-plastic finite element analysis was performed for a burnishing process for the inner surface of a cylinder by mandrel. Three different configurations in roughness of the inner surface, two different thicknesses of the cylinder wall, and five different diameters of the mandrel were selected for the present investigation. Although the surface roughness was improved with the increase of the mandrel diameter, defects of folding occurred as the mandrel diameter exceeded certain limits. Improvements in the surface roughness, distributions of effective strain, effective stress and residual circumferential stress, and the variation of mandrel force were also investigated.

Failure Mechanism Evaluation in Normally Consolidated Cohesive Soils by Plane Strain Test with Digital Image Analysis (평면변형률 시험에서 디지털 이미지 해석을 통한 정규압밀 점성토의 파괴거동 분석)

  • Kwak, Tae-Young;Kim, Joon-Young;Chung, Choong-Ki
    • Journal of the Korean Geotechnical Society
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    • v.32 no.3
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    • pp.49-60
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    • 2016
  • Soil failure is initiated and preceded by forming and progressing of shear band, defined as the localization of deformation into thin zones of soil mass. To understand the failure mechanism of normally consolidated cohesive soil, the spatial distribution and evolution of deformation within the entire specimen need to be evaluated. In this study, vertical compression tests under plane strain condition were performed on reconstituted kaolinite specimens, while capturing digital images of the specimen at regular intervals during shearing. Overall stress-strain behavior from initial to post peak has been analyzed together with spatial distributions of deformations and shear band characteristics from digital images at 4 stages.