• Title/Summary/Keyword: continuum

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Numerical Analysis Model for Fatigue Life Prediction of Welded Structures (용접구조물의 피로수명예측을 위한 수치해석모델)

  • Lee, Chi-Seung;Lee, Jae-Myung
    • Journal of Welding and Joining
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    • v.27 no.6
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    • pp.49-54
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    • 2009
  • In this study, the numerical analysis model for fatigue life prediction of welded structures are presented. In order to evaluate the structural degradation of welded structures due to fatigue loading, continuum damage mechanics approach is applied. Damage evolution equation of welded structures under arbitrary fatigue loading is constructed as a unified plasticity-damage theory. Moreover, by integration of damage evolution equation regarding to stress amplitude and number of cycles, the simplified fatigue life prediction model is derived. The proposed model is compared with fatigue test results of T-joint welded structures to obtain its validation and usefulness. It is confirmed that the predicted fatigue life of T-joint welded structures are coincided well with the fatigue test results.

Deflection and Stress Distributions of a Circular Plate under the Constant Pressure with respect to the Element types (균등 압력이 부과된 원형판의 변형에 대한 해석요소의 정확성 비교)

  • Lee, Hyoungwook
    • Journal of Institute of Convergence Technology
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    • v.6 no.1
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    • pp.17-21
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    • 2016
  • The analysis of circular plates under the constant pressure are simplified as the loading conditions of the circular manhole. The theoretical solution of circular plates with respect to the constant pressures are derived by using the governing equation of plate deflection. The deflection and the radial stress distributions were calculated by the theory. Finite element solutions were conducted with respect to the element types of the continuum elements. The most accurate element was selected by comparisons of the theoretical solutions and simulated solutions. The C3D8I element type in brick-type continuum elements gave in a good accordance with the theoretical solutions.

The dilatancy and numerical simulation of failure behavior of granular materials based on Cosserat model

  • Chu, Xihua;Yu, Cun;Xu, Yuanjie
    • Interaction and multiscale mechanics
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    • v.5 no.2
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    • pp.157-168
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    • 2012
  • The dilatancy of granular materials has significant influence on its mechanical behaviors. The dilation angle is taken as a constant in conventional associated or non-associated flow rules based on Drucker-Prager yields theory. However, various experimental results show the dilatancy changes during progressive failure of granular materials. A non-associated flow rule with evolution of dilation angle is adopted in this study, and Cosserat continuum theory is used to describe the behaviors of granular materials for considering to some extent the its internal structure. Numerical examples focus on the bearing capacity and localization of granular materials, and results illustrate the capability and performance of the presented model in modeling the effect on failure behavior of granular materials.

Analytical solutions for bending of transversely or axially FG nonlocal beams

  • Nguyen, Ngoc-Tuan;Kim, Nam-Il;Lee, Jaehong
    • Steel and Composite Structures
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    • v.17 no.5
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    • pp.641-665
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    • 2014
  • This paper presents the analytical solutions for the size-dependent static analysis of the functionally graded (FG) beams with various boundary conditions based on the nonlocal continuum model. The nonlocal behavior is described by the differential constitutive model of Eringen, which enables to this model to become effective in the analysis and design of nanostructures. The elastic modulus of beam is assumed to vary through the thickness or longitudinal directions according to the power law. The governing equations are derived by using the nonlocal continuum theory incorporated with Euler-Bernoulli beam theory. The explicit solutions are derived for the static behavior of the transversely or axially FG beams with various boundary conditions. The verification of the model is obtained by comparing the current results with previously published works and a good agreement is observed. Numerical results are presented to show the significance of the nonlocal effect, the material distribution profile, the boundary conditions, and the length of beams on the bending behavior of nonlocal FG beams.

Design Sensitivity Analysis of Coupled Thermo-elasticity Problems

  • Choi Jae-yeon;Cho Seonho
    • Journal of Ship and Ocean Technology
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    • v.8 no.3
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    • pp.50-60
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    • 2004
  • In this paper, a continuum-based design sensitivity analysis (DSA) method is developed for the weakly coupled thermo-elasticity problems. The temperature and displacement fields are described in a common domain. Boundary value problems such as an equilibrium equation and a heat conduction equation in steady state are considered. The direct differentiation method of continuum-based DSA is employed to enhance the efficiency and accuracy of sensitivity computation. We derive design sensitivity expressions with respect to thermal conductivity in heat conduction problem and Young's modulus in equilibrium equation. The sensitivities are evaluated using the finite element method. The obtained analytical sensitivities are compared with the finite differencing to yield very accurate results. Extensive developments of this method are useful and applicable for the optimal design problems incorporating welding and thermal deformation problems.

Analysis of Continuum X-ray Specturum and Determination of Electron Temperature from Iodine Photodissociation Laser produced plasma (집속된 광분해 옥소레이저에 의한 플라즈마로부터 방출되는 연속 X-선 스펙트럼 분석과 전자온도 결정)

  • 김동환;김남성;이상수
    • Proceedings of the Optical Society of Korea Conference
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    • 1988.06a
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    • pp.135-144
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    • 1988
  • 1-GW Iodine photodissociation Laser (λ=1.315${\mu}{\textrm}{m}$)is focused to generate the continuum x-ray radiation at titanium(z=22)target. A piced of aluminum(360 )-mylar(8${\mu}{\textrm}{m}$) film is used to isolate the soft X-ray radiation emitted. Convex-xurved mica crystal spectrometer is used to obtain the soft x-ray spectra from the laser titanium target plasma and the slope of continum X-ray spectra are found to show two different different electron effective temperaturres, 0.11keV and 7.1KeV. We compare the two temperature result with the foil absorption method.

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Design of initial support required for excavation of underground cavern and shaft from numerical analysis

  • Oh, Joung;Moon, Taehyun;Canbulat, Ismet;Moon, Joon-Shik
    • Geomechanics and Engineering
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    • v.17 no.6
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    • pp.573-581
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    • 2019
  • Excavation of underground cavern and shaft was proposed for the construction of a ventilation facility in an urban area. A shaft connects the street-level air plenum to an underground cavern, which extends down approximately 46 m below the street surface. At the project site, the rock mass was relatively strong and well-defined joint sets were present. A kinematic block stability analysis was first performed to estimate the required reinforcement system. Then a 3-D discontinuum numerical analysis was conducted to evaluate the capacity of the initial support and the overall stability of the required excavation, followed by a 3-D continuum numerical analysis to complement the calculated result. This paper illustrates the application of detailed numerical analyses to the design of the required initial support system for the stability of underground hard rock mining at a relatively shallow depth.

Concerning the tensor-based flexural formulation: Theory

  • Al-Rousan, Rajai Z.;Alhassan, Mohammed A.;Hejazi, Moheldeen A.
    • Structural Engineering and Mechanics
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    • v.70 no.4
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    • pp.445-455
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    • 2019
  • Since the days of yore, plate's flexural analysis and formulation were dependent on the assumed coordinate system. In uncovering the coordinates-independent flexural interpretation, in this study, the plate bending analysis has been interpreted in terms of the tensor's components of curvatures and bending moments, in accordance with the continuum mechanics. The paper herein presents the theoretical formulations and conceptual perspectives of the Hydrostatic Method of Analysis (HM) that combines the continuum mechanics with the elasticity theory; the graphical statics and analysis; the theory of thin isotropic and orthotropic plates.

Concerning the tensor-based flexural formulation: Applications

  • Alhassan, Mohammed A.;Al-Rousan, Rajai Z.;Hejazi, Moheldeen A.
    • Structural Engineering and Mechanics
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    • v.77 no.6
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    • pp.765-777
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    • 2021
  • Recently, the plate bending analysis has been interpreted in terms of the tensor's components of curvatures and bending moments by presenting the conceptual perspectives of the Hydrostatic Method of Analysis (HM) and theoretical formulations that combine the continuum mechanics with the graphical statics analysis, the theory of thin orthotropic and isotropic plates, and the elasticity theory. In pursuance of uncovering a genuine formulation of the plate's flexural differential equations, that possess the general-covariance and coordinates-independency. This study had then, tackled various natural and structural problems in both solid and fluid branches of the continuum mechanics in a description of such theoretical and conceptual attainment in uncovering the dimensional independent diffeomorphism covariant partial differential laws.

Dynamic impedance of a 3×3 pile-group system: Soil plasticity effects

  • Gheddar, Kamal;Sbartai, Badreddine;Messioud, Salah;Dias, Daniel
    • Structural Engineering and Mechanics
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    • v.83 no.3
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    • pp.377-386
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    • 2022
  • This paper considers dynamic impedance functions and presents a detailed analysis of the soil plasticity influence on the pile-group foundation dynamic response. A three-dimensional finite element model is proposed, and a calculation method considering the time domain is detailed for the nonlinear dynamic impedance functions. The soil mass is modeled as continuum elastoplastic solid using the Mohr-Coulomb shear failure criterion. The piles are modeled as continuum solids and the slab as a structural plate-type element. Quiet boundaries are implemented to avoid wave reflection on the boundaries. The model and method of analysis are validated by comparison with those published on literature. Numerical results are presented in terms of horizontal and vertical nonlinear dynamic impedances as a function of the shear soil parameters (cohesion and internal friction angle), pile spacing ratio and frequencies of the dynamic signal.