• Title/Summary/Keyword: strain plane

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Fatigue Strength Evaluation on the IB-Type Spot Welded Lap Joint of 304 Stainless Steel Part 2 : Strain energy Density (304 스테인레스 박강판 IB형 용접이음재의 피로강도 평가 Part 2 : 변형에너지 밀도에 의한 평가)

  • 손일선;오세빈;배동호
    • Journal of Welding and Joining
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    • v.17 no.6
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    • pp.32-37
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    • 1999
  • Since stainless steel plates have good mechanical properties, weldability, appearance and resistance of corrosion, these are traditionally used for vehicles such as the bus and the train. And they are mainly fabricated by spot welding. But fatigue strength of their spot welded joint is considerably influenced by welding conditions as well as geometrical factors. Thus a reasonable and systematic criterion for long life design of spot welded body structure must be established. In this report, strain energy density was analyzed by using 3-dimensional finite element model about the IB-type spot welded lap joint under tension-shear load. Fatigue tests were conducted on them having various thickness, joint angle, lapped length and width. From their results, it was found that fatigue strength of the IB-type spot welded lap joints could be effectively and systematically rearranged by strain energy density at the edge of nugget.

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Effects of elastic strain on the agglomeration of silicide films for electrical contacts in integrated circuit applications

  • Choy, J.H.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.3
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    • pp.95-100
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    • 2004
  • This paper reports a potential problem in the electrical performance of the silicide film to silicon contacts with respect to the scaling trend in integrated circuit (IC) devices. The effects of elastic strain on the agglomeration of the coherent silicide film embedded in an infinite matrix are studied employing continuum linear elasticity and finite-difference numerical method. The interface atomic diffusion is taken to be the dominant transport mechanism where both capillarity and elastic strain are considered for the driving forces. Under plane strain condition with elastically homogeneous and anisotropic system with cubic symmetry, the dilatational misfit and the tetragonal misfit in the direction parallel to the film thickness are considered. The numerical results on the shape evolution agree with the known trend that the equilibrium aspect ratio of the film increases with the elastic strain intensity. When the elastic strain intensity is taken to be only a function of the film size, the flat film morphology with a large aspect ratio becomes increasingly unstable since the equilibrium aspect ratio decreases, as the film scales. The shape evolution results in a large decrease in contact to silicon area, and may deteriorate the electrical performances.

Effect of Lubrication on the Evolution of Texture and Microstructure in AA5052 Sheet during Shape Rolling (알루미늄 AA5052 판재의 이형압연 시 집합조직 및 미세조직 발달에 미치는 윤활의 영향)

  • Park, Eun-Soo;Kang, Hyung-Gu;Huh, Moo-Young;Kim, Hwi-Jun;Bae, Jung-Chan
    • Korean Journal of Metals and Materials
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    • v.47 no.6
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    • pp.363-371
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    • 2009
  • The effect of lubrication on the evolution of strain states during shape rolling in AA5052 sheet was studied by the finite element method (FEM) simulation. The strain states calculated by FEM were verified by texture analysis. Shape rolling with and without lubrication produces shape-rolled samples in fairly similar outer shapes, since the distribution of normal strain components is nearly independent of the lubrication condition. In contrast, the distribution of shear strain components strongly depends on the lubrication condition. Shape rolling without lubrication gives rise to the development of strong shear strain gradients leading to the formation of highly inhomogenous textures and microstructures. The {011}//ND fiber develops during rolling with the operation of plane strain plus ${\dot{\varepsilon}}_{22}$.

A 1D model considering the combined effect of strain-rate and temperature for soft soil

  • Zhu, Qi-Yin;Jin, Yin-Fu;Shang, Xiang-Yu;Chen, Tuo
    • Geomechanics and Engineering
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    • v.18 no.2
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    • pp.133-140
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    • 2019
  • Strain-rate and temperature have significant effects on the one-dimensional (1D) compression behavior of soils. This paper focuses on the bonding degradation effect of soil structure on the time and temperature dependent behavior of soft structured clay. The strain-rate and temperature dependency of preconsolidation pressure are investigated in double logarithm plane and a thermal viscoplastic model considering the combined effect of strain-rate and temperature is developed to describe the mechanical behavior of unstructured clay. By incorporating the bonding degradation, the model is extended that can be suitable for structured clay. The extended model is used to simulate CRS (Constant Rate of Strain) tests conducted on structural Berthierville clay with different strain-rates and temperatures. The comparisons between predicted and experimental results show that the extended model can reasonably describe the effect of bonding degradation on the stain-rate and temperature dependent behavior of soft structural clay under 1D condition. Although the model is proposed for 1D analysis, it can be a good base for developing a more general 3D model.

Numerical analysis of embankment primary consolidation with porosity-dependent and strain-dependent coefficient of permeability

  • Balic, Anis;Hadzalic, Emina;Dolarevic, Samir
    • Coupled systems mechanics
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    • v.11 no.2
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    • pp.93-106
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    • 2022
  • The total embankment settlement consists of three stages: the initial settlement, the primary consolidation settlement, and the secondary consolidation settlement. The total embankment settlement is largely controlled by the primary consolidation settlement, which is usually computed with numerical models that implement Biot's theory of consolidation. The key parameter that affects the primary consolidation time is the coefficient of permeability. Due to the complex stress and strain states in the foundation soil under the embankment, to be able to predict the consolidation time more precisely, aside from porosity-dependency, the strain-dependency of the coefficient of permeability should be also taken into account in numerical analyses. In this paper, we propose a two-dimensional plane strain numerical model of embankment primary consolidation, which implements Biot's theory of consolidation with both porosity-dependent and strain-dependent coefficient of permeability. We perform several numerical simulations. First, we demonstrate the influence of the strain-dependent coefficient of permeability on the computed results. Next, we validate our numerical model by comparing computed results against in-situ measurements for two road embankments: one near the city of Saga, and the other near the city of Boston. Finally, we give our concluding remarks.

A dual approach to perform geometrically nonlinear analysis of plane truss structures

  • Habibi, AliReza;Bidmeshki, Shaahin
    • Steel and Composite Structures
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    • v.27 no.1
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    • pp.13-25
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    • 2018
  • The main objective of this study is to develop a dual approach for geometrically nonlinear finite element analysis of plane truss structures. The geometric nonlinearity is considered using the Total Lagrangian formulation. The nonlinear solution is obtained by introducing and minimizing an objective function subjected to displacement-type constraints. The proposed method can fully trace the whole equilibrium path of geometrically nonlinear plane truss structures not only before the limit point but also after it. No stiffness matrix is used in the main approach and the solution is acquired only based on the direct classical stress-strain formulations. As a result, produced errors caused by linearization and approximation of the main equilibrium equation will be eliminated. The suggested algorithm can predict both pre- and post-buckling behavior of the steel plane truss structures as well as any arbitrary point of equilibrium path. In addition, an equilibrium path with multiple limit points and snap-back phenomenon can be followed in this approach. To demonstrate the accuracy, efficiency and robustness of the proposed procedure, numerical results of the suggested approach are compared with theoretical solution, modified arc-length method, and those of reported in the literature.

A One-dimensional Annular Plate Element for In-plane Vibration Analysis of Full Disks (충만 디스크의 면내 진동 해석을 위한 1차원 환상 평판 요소)

  • Kwak, Dong-Hee;Lim, Jung-Ki;Kim, Chang-Boo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.12
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    • pp.1338-1346
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    • 2009
  • We present a one-dimensional annular plate element with which the in-plane vibration of full disks can be analyzed efficiently and accurately by using the FEM. Its elementary mass matrix and stiffness matrix are derived, respectively, from the virtual work by effective forces and the virtual strain energy. The static deformation modes obtained from an integration of the differential equilibrium equations of the annular plate are used as interpolation functions of the one-dimensional annular plate element. The in-plane natural vibration characteristics of a 2-step full disk and a uniform full disk are analysed. Its results are compared with the results obtained by utilizing two-dimensional 8-node quadrilateral plane elements and cyclic symmetry of the disk. And also, by comparing with the theoretical results of previous researchers, the efficiency and accuracy of the presented element are verified.

A Finite Thin Circular Beam Element for In-Plane Vibration Analysis of Curved Beams

  • Kim Chang-Boo;Park Jung-Woo;Kim Sehee;Cho Chongdu
    • Journal of Mechanical Science and Technology
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    • v.19 no.12
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    • pp.2187-2196
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    • 2005
  • In this paper, the stiffness and the mass matrices for the in-plane motion of a thin circular beam element are derived respectively from the strain energy and the kinetic energy by using the natural shape functions of the exact in-plane displacements which are obtained from an integration of the differential equations of a thin circular beam element in static equilibrium. The matrices are formulated in the local polar coordinate system and in the global Cartesian coordinate system with the effects of shear deformation and rotary inertia. Some numerical examples are performed to verify the element formulation and its analysis capability. The comparison of the FEM results with the theoretical ones shows that the element can describe quite efficiently and accurately the in-plane motion of thin circular beams. The stiffness and the mass matrices with respect to the coefficient vector of shape functions are presented in appendix to be utilized directly in applications without any numerical integration for their formulation.

Low-Velocity Impact Response and Damage Analysis of Composite Laminates Under Initial In-plane Loading (초기 면내하중을 받는 복합적층판의 저속충격거동 및 손상해석)

  • Choi, Ik-Hyeon
    • Composites Research
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    • v.22 no.1
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    • pp.1-8
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    • 2009
  • In this paper low-velocity impact response and damage of composite laminates is analytically investigated. A modified displacement field of plate considering initially loaded in-plane strain is proposed. From the displacement field a finite element equation on structural behavior of composite laminate is newly induced and a computational program is coded. Numerical results using the FEM code is compared with the numerical ones from reference. Additional numerical analysis is performed on another impact condition and effect of initial in-plane load is reviewed. Potential delamination damage area in the first inter-ply surface from bottom of laminate is approximated and effect of initial in-plane load and impact condition is also reviewed.

Three Dimensional Deformation Behaviour of Compressible Sand (압축성(壓縮性) 모래의 3차원(次元) 변형거동(變形擧動))

  • Park, Byung Kee;Jeong, Jin Seob;Lim, Sung Chull
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.3
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    • pp.107-113
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    • 1990
  • A series of cubical triaxial tests with independent control of the three principal stresses were performed on a compressible sand. All specimens which were formed by depositing the fine sand loosely, were used. It was found that slope of the stress-strain curve increased with increased b value, and the major principal strain at failure first remains approximetely constant for b values smaller than about 0.3 for drained condition and 0.6 for undrained condition respectively, and thereafter decreases with increasing value of b. The test results showed that the direction of the strain increments at failure form acute angles with the failure surfaces for both the drained and undrained condition. The results are thus not in agreement with the normality criterion from classic plasticity theory. However, it was found that the projections of the plastic strain increment vectors on the octahedral plane are perpendicular to the faiure surface in that plane.

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