• Title/Summary/Keyword: Constitutive Model

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Multiscale Wavelet-Galerkin Method in General Two-Dimensional Problems (일반 형상의 2차원 영역에서의 멀티스케일 웨이블렛-갤러킨 기법)

  • Kim, Yun-Yeong;Jang, Gang-Won;Kim, Jae-Eun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.939-951
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    • 2002
  • We propose a new multiscale Galerkin method based on interpolation wavelets for two-dimensional Poisson's and plane elasticity problems. The major contributions of the present work are: 1) full multiresolution numerical analysis is carried out, 2) general boundaries are handled by a fictitious domain method without using a penalty term or the Lagrange multiplier, 3) no special integration rule is necessary unlike in the (bi-)orthogonal wavelet-based methods, and 4) an efficient adaptive scheme is easy to incorporate. Several benchmark-type problems are considered to show the effectiveness and the potentials of the present approach. is 1-2m/s and impact deformation of the electrode depends on the strain rate at that velocity, the dynamic behavior of the sinter-forged Cu-Cr is a key to investigate the impact characteristics of the electrodes. The dynamic response of the material at the high strain rate is obtained from the split Hopkinson pressure bar test using disc-type specimens. Experimental results from both quasi-static and dynamic compressive tests are Interpolated to construct the Johnson-Cook model as the constitutive relation that should be applied to simulation of the dynamic behavior of the electrodes. The impact characteristics of a vacuum interrupter are investigated with computer simulations by changing the value of five parameters such as the initial velocity of a movable electrode, the added mass of a movable electrode, the wipe spring constant, initial offset of a wipe spring and the virtual fixed spring constant.

Effect of shear zone on dynamic behaviour of rock tunnel constructed in highly weathered granite

  • Zaid, Mohammad;Sadique, Md. Rehan;Alam, M. Masroor;Samanta, Manojit
    • Geomechanics and Engineering
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    • v.23 no.3
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    • pp.245-259
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    • 2020
  • Tunnels have become an indispensable part of metro cities. Blast resistance design of tunnel has attracted the attention of researchers due to numerous implosion event. Present paper deals with the non-linear finite element analysis of rock tunnel having shear zone subjected to internal blast loading. Abaqus Explicit schemes in finite element has been used for the simulation of internal blast event. Structural discontinuity i.e., shear zone has been assumed passing the tunnel cross-section in the vertical direction and consist of Highly Weathered Granite medium surrounding the tunnel. Mohr-Coulomb constitutive material model has been considered for modelling the Highly Weathered Granite and the shear zone material. Concrete Damage Plasticity (CDP), Johnson-Cook (J-C), Jones-Wilkins-Lee (JWL) equation of state models are used for concrete, steel reinforcement and Trinitrotoluene (TNT) simulation respectively. The Coupled-Eulerian-Lagrangian (CEL) method of modelling for TNT explosive and air inside the tunnel has been adopted in this study. The CEL method incorporates the large deformations for which the traditional finite element analysis cannot be used. Shear zone orientations of 0°, 15°, 30°, 45°, 60°, 75° and 90°, with respect to the tunnel axis are considered to see their effect. It has been concluded that 60° orientation of shear zone presents the most critical situation.

Evaluation of Stress Characteristics and Rupture Risk of the Aortic Wall According to Abdominal Aortic Aneurysm Geometry and Age (복부대동맥류 형상 및 연령에 따른 동맥 벽 응력 특성 및 파열 위험성 평가)

  • Lee, Chung Won;You, Ji-Hun;Huh, Up;Lee, Chi-Seung;Ryu, Dong-Man
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.3
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    • pp.179-186
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    • 2020
  • In this study, the wall stress and rupture risk for abdominal aortic aneurysms were calculated based on the age and geometry of the examined abdominal aortic aneurysms. The geometry of the abdominal aorta was simulated using computed tomography data from patients with abdominal aortic aneurysms. With regard to material properties, the Gasser-Ogden-Holzapfel model was applied to the analysis to simulate the anisotropic hyperelastic characteristics of the artery. In addition, each material parameter was estimated to consider the properties for age and for normal and aneurysm tissue. Moreover, the correlation between the diameter and angle of the aortic aneurysms was analyzed based on data from patients with abdominal aortic aneurysms, and series simulations were conducted. As a result, the rupture risk for the abdominal aortic aneurysms was evaluated based on the age and geometry of the aneurysm.

Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates

  • Younsi, Abderahman;Tounsi, Abdelouahed;Zaoui, Fatima Zohra;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.14 no.6
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    • pp.519-532
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    • 2018
  • In this work, two dimensional (2D) and quasi three-dimensional (quasi-3D) HSDTs are proposed for bending and free vibration investigation of functionally graded (FG) plates using hyperbolic shape function. Unlike the existing HSDT, the proposed theories have a novel displacement field which include undetermined integral terms and contains fewer unknowns. The material properties of the plate is inhomogeneous and are considered to vary continuously in the thickness direction by three different distributions; power-law, exponential and Mori-Tanaka model, in terms of the volume fractions of the constituents. The governing equations which consider the effects of both transverse shear and thickness stretching are determined through the Hamilton's principle. The closed form solutions are deduced by employing Navier method and then fundamental frequencies are obtained by solving the results of eigenvalue problems. In-plane stress components have been determined by the constitutive equations of composite plates. The transverse stress components have been determined by integrating the 3D stress equilibrium equations in the thickness direction of the FG plate. The accuracy of the present formulation is demonstrated by comparisons with the different 2D, 3D and quasi-3D solutions available in the literature.

The Effects of Dokhwaljihwang-tang Intravenous Pharmacopuncture on Cisplatin-Induced Emesis and Gastrointestinal Mobility Disorder in Rats

  • Jun, Seungah;Lee, Hyun
    • Journal of Acupuncture Research
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    • v.34 no.3
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    • pp.39-48
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    • 2017
  • Objectives : The objective of this study was to evaluate the effect of Dokhwaljihwang-tang (DJT) intravenous pharmacopuncture on cisplatin-induced emesis and gastric mobility disorder in Wistar rats. Methods : Thirty rats were randomly divided into six groups and cisplatin was administered to all groups except the normal group. The cisplatin group (n=5) received a cisplatin injection only. The saline group (n=5) was injected with cisplatin followed by 0.4 mL of saline. Groups DJT-1, DJT-2, and DJT-3 were injected with cisplatin, followed by 0.315 g/kg, 0.104 g/kg, and 0.034 g/kg of DJT, respectively. Body weight, food intake, and kaolin intake of rats were measured 12 h, 24 h, and 36 h after cisplatin injection. Residual food in the stomach was measured 48 h after cisplatin injection. Results : There was no significant difference in weight. The food intake was not significantly different 12 h after cisplatin administration. All groups except the normal group showed significantly decreased food intake after 24 h. After 36 h, food intake was not significantly different between groups DJT-1, DJT-2, and DJT-3 and the normal group. The kaolin intake of groups DJT-1 and DJT-2 was significantly decreased at 12 h and 24 h after cisplatin injection. Kaolin intake and residual food in the stomach were significantly decreased in groups DJT-1, DJT-2, and DJT-3. Conclusion : In a Wistar rat model, DJT intravenous pharmacopuncture is suggested to be effective for cisplatin-induced emesis and gastric motility disorder. In the future, it is necessary to study the mechanism and chemical composition of each individual constitutive drug.

Field measurement and numerical simulation of excavation damaged zone in a 2000 m-deep cavern

  • Zhang, Yuting;Ding, Xiuli;Huang, Shuling;Qin, Yang;Li, Peng;Li, Yujie
    • Geomechanics and Engineering
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    • v.16 no.4
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    • pp.399-413
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    • 2018
  • This paper addresses the issue of field measurement of excavation damage zone (EDZ) and its numerical simulation method considering both excavation unloading and blasting load effects. Firstly, a 2000 m-deep rock cavern in China is focused. A detailed analysis is conducted on the field measurement data regarding the mechanical response of rock masses subjected to excavation and blasting operation. The extent of EDZ is revealed 3.6 m-4.0 m, accounting for 28.6% of the cavern span, so it is significantly larger than rock caverns at conventional overburden depth. The rock mass mechanical response subjected to excavation and blasting is time-independent. Afterwards, based on findings of the field measurement data, a numerical evaluation method for EDZ determination considering both excavation unloading and blasting load effects is presented. The basic idea and general procedures are illustrated. It features a calibration operation of damage constant, which is defined in an elasto-plastic damage constitutive model, and a regression process of blasting load using field blasting vibration monitoring data. The numerical simulation results are basically consistent with the field measurement results. Further, some issues regarding the blasting loads, applicability of proposed numerical method, and some other factors are discussed. In conclusion, the field measurement data collected from the 2000 m-deep rock cavern and the corresponding findings will broaden the understanding of tunnel behavior subjected to excavation and blasting at great depth. Meanwhile, the presented numerical simulation method for EDZ determination considering both excavation unloading and blasting load effects can be used to evaluate rock caverns with similar characteristics.

Application of a mesh-free method to modelling brittle fracture and fragmentation of a concrete column during projectile impact

  • Das, Raj;Cleary, Paul W.
    • Computers and Concrete
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    • v.16 no.6
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    • pp.933-961
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    • 2015
  • Damage by high-speed impact fracture is a dominant mode of failure in several applications of concrete structures. Numerical modelling can play a crucial role in understanding and predicting complex fracture processes. The commonly used mesh-based Finite Element Method has difficulties in accurately modelling the high deformation and disintegration associated with fracture, as this often distorts the mesh. Even with careful re-meshing FEM often fails to handle extreme deformations and results in poor accuracy. Moreover, simulating the mechanism of fragmentation requires detachment of elements along their boundaries, and this needs a fine mesh to allow the natural propagation of damage/cracks. Smoothed Particle Hydrodynamics (SPH) is an alternative particle based (mesh-less) Lagrangian method that is particularly suitable for analysing fracture because of its capability to model large deformation and to track free surfaces generated due to fracturing. Here we demonstrate the capabilities of SPH for predicting brittle fracture by studying a slender concrete structure (column) under the impact of a high-speed projectile. To explore the effect of the projectile material behaviour on the fracture process, the projectile is assumed to be either perfectly-elastic or elastoplastic in two separate cases. The transient stress field and the resulting evolution of damage under impact are investigated. The nature of the collision and the constitutive behaviour are found to considerably affect the fracture process for the structure including the crack propagation rates, and the size and motion of the fragments. The progress of fracture is tracked by measuring the average damage level of the structure and the extent of energy dissipation, which depend strongly on the type of collision. The effect of fracture property (failure strain) of the concrete due to its various compositions is found to have a profound effect on the damage and fragmentation pattern of the structure.

Numerical Implication of Concrete Material Damage at the Finite Element Levels (콘크리트 재료손상에 대한 유한요소상의 의미)

  • Rhee, In-Kyu;Roh, Young-Sook;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.18 no.1 s.91
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    • pp.37-46
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    • 2006
  • The principal objective of this study is to assess the hierarchical effects of defects on the elastic stiffness properties at different levels of observation. In particular, quantitative damage measures which characterize the fundamental mode of degradation in the form of elastic damage provide quite insightful meanings at the level of constitutive relations and at the level of structures. For illustration, a total of three model problems of increasing complexity, a 1-D bar structure, a 2-D stress concentration problem, and a heterogeneous composite material made of a matrix with particle inclusions. Considering a damage scenario for the particle inclusions the material system degrades from a composite with very stiff inclusions to a porous material with an intact matrix skeleton. In other damage scenario for the matrix, the material system degrades from a composite made of a very stiff skeleton to a disconnected assembly of particles because of progressive matrix erosion. The trace-back and forth of tight bounds in terms of the reduction of the lowest eigenvalues are extensively discussed at different levels of observation.

FEM Numerical Formulation for Debris Flow (토석류 유동해석을 위한 유한요소 수식화)

  • Shin, Hosung
    • Journal of the Korean Geotechnical Society
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    • v.30 no.10
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    • pp.55-65
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    • 2014
  • Recent researches on debris flow is focused on understanding its movement mechanism and building a numerical simulator to predict its behavior. However, previous simulators emulating fluid-like debris flow have limitations in numerical stability, geometric modeling and application of various boundary conditions. In this study, depth integration is applied to continuity equation and force equilibrium for debris flow. Thickness of sediment, and average velocities in x and y flow direction are chosen for main variables in the analysis, which improve numerical stability in the area with zero thickness. Petrov-Galerkin formulation uses a discontinuous test function of the weighted matrix from DG scheme. Presented mechanical constitutive model combines fluid and granular behaviors for debris flow. Effects on slope angle, inducing debris height, and bottom friction resistance are investigated for a simple slope. Numerical results also show the effect of embankment at the bottom of the slope. Developed numerical simulator can assess various risk factors for the expected area of debris flow, and facilitate embankment design in order to minimize damage.

P-M Interaction Curve for Square CFTs with High-Strength Concrete (고강도 콘크리트를 사용한 각형 CFT 기둥의 축력-모멘트 상관곡선)

  • Choi, Young Hwan;Kim, Kang Su;Choi, Sung Mo;Lee, Sangsup
    • Journal of Korean Society of Steel Construction
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    • v.19 no.6
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    • pp.575-585
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    • 2007
  • In this study, a new design equation was presented for square CFTs with high-strength concrete subjected to axial compression and bending. In a previous study, a design equation for square CFTs with normal strength concrete was proposed. A parametric study by fiber analysis was performed taking the width-to-thickness ratio (b/t) and the relative concrete strength to the yield strength of the steel tube (fck/Fy) as the main parameters of this study to determine the maximum moment and the axial load at the maximum moment. A new constitutive model for concrete was adopted for fiber analysis in order to take into account the effect of high-strength concrete. The results of the parametric study were embedded into the method which was presented in the previous study to formulate a new design equation that can be easily used for estimating the strength of square CFTs with high-strength concrete.