• Title/Summary/Keyword: Plane-strain

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A finite strip method for elasto-plastic analysis of thin-walled structures under pure bending

  • Cheung, M.S.;Akhras, G.;Li, W.
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.233-242
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    • 1999
  • In the present study, the elasto-plastic analysis of prismatic plate structures subjected to pure bending is carried out using the finite strip method. The end cross-sections of the structure are assumed to remain plane during deformation, and the compatibility along corner lines is ensured by choosing proper displacement functions. The effects of both the initial geometrical imperfections and residual stresses due to fabrication are included in the combined geometrically and materially nonlinear simulation. The von-Mises yield criterion and the Prandtl-Reuss flow theory of plasticity are applied in modelling the elasto-plastic behavior of material. Newton-Raphson iterations are carried out as the rotation of the end cross sections of the structure is increased step by step. The parameter representing the overall axial strain of structure is adjusted constantly during the iteration process in order to eliminate the resulting overall axial force on any cross-section of the structure in correspondence with the assumption of zero axial force in pure bending. Several numerical examples are presented to validate the present method and to investigate the effects of some material and geometrical parameters.

Generalized Rayleigh wave propagation in a covered half-space with liquid upper layer

  • Negin, Masoud
    • Structural Engineering and Mechanics
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    • v.56 no.3
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    • pp.491-506
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    • 2015
  • Propagation of the generalized Rayleigh waves in an initially stressed elastic half-space covered by an elastic layer is investigated. It is assumed that the initial stresses are caused by the uniformly distributed normal compressional forces acting on the face surface of the covering layer. Two different cases where the compressional forces are "dead" and "follower" forces are considered. Three-dimensional linearized theory of elastic waves in initially stressed bodies in plane-strain state is employed and the elasticity relations of the materials of the constituents are described through the Murnaghan potential where the influence of the third order elastic constants is taken into consideration. The dispersion equation is derived and an algorithm is developed for numerical solution to this equation. Numerical results for the dispersion of the generalized Rayleigh waves on the influence of the initial stresses and on the influence of the character of the external compressional forces are presented and discussed. These investigations provide some theoretical foundations for study of the near-surface waves propagating in layered mechanical systems with a liquid upper layer, study of the structure of the soil of the bottom of the oceans or of the seas and study of the behavior of seismic surface waves propagating under the bottom of the oceans.

A Study on the Fracture Toughness of Al-Si-Cu-Mg Cast Alloy (주조용(鑄造用) Al-Si-Cu-Mg계(系) 합금(合金)의 파괴인성(破壞靭性)에 관한 연구(硏究))

  • Ma, Dong-Jun;Kang, In-Chan
    • Journal of Korea Foundry Society
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    • v.7 no.2
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    • pp.114-121
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    • 1987
  • In order to determine the plane strain fracture toughness of Al-Si-Cu-Mg alloy castings, solution heat treatments have been conducted at $530^{\circ}C$ for 8hr and aged for 10hr at $145^{\circ}C$, $160^{\circ}C$ and $175^{\circ}C$. Effects of aging treatment and of Si contents on the fracture toughness have been investigated by a three point loaded bend test, using the artificial notch. The results obtained are as follows; 1) The fracture toughness is appreciably affected by the aging treatment temperature and Si contents. The specimen aged for 10hr at $145^{\circ}C$ has the highest fracture toughness. 2) Increasing Si contents from 5% to 9% results in decrease of fracture toughness. 3) Increasing the aging temperature and Si contents, C.O.D. value was decreased. The specimen aged for 10hr at $145^{\circ}C$ has the highest C.O.D. value. 4) Dimple patterns were observed in the specimens of containing under 7% Si, while mixed cleavage-dimple patterns in those of over 8% Si.

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ACOUSTIC EMISSION ANALYSIS FOR FRACTURE CHARACTERISTICS OF DENTAL POSTERIOR COMPOSITES (구치부 수복용 복합레진의 파괴특성에 관한 Acoustic Emission 연구)

  • Park, Jin-Hoon;Kim, Kyo-Han
    • Restorative Dentistry and Endodontics
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    • v.17 no.1
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    • pp.153-165
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    • 1992
  • Dental composite resin is a kind of the particle - reinforced composite material, and is widely used in recent dental restoration of anterior and posterior tooth region. The purpose of this study was to investigate the fracture behaviour according to volume fractions and external findings of the filler particles for better interpretation of the fracture characteristics of posterior dental composite resins by analytic method of fracture mechanics. The plane strain fracture toughness($K_{IC}$) and Acoustic Emission were determined with three - point bending test using the single edge notch specimen according to the ASTM - E399, and its analyzed data was compared with filler volume fractions derived from the standard ashing test and scanning electron fractographs of each specimen including the unfilled experimental resin as a control. The results were that the value of fracture toughness of the composite resin material was in the range from 0.85 MPa$\sqrt{m}$ to 1.60 MPa$\sqrt{m}$ and was higher than the value of the unfilled experimental resin, and the fracture behaviours dervied from Acoustic Emission analysis show prominent differences according to the volume fraction and the size of filler particles used in each composite resin. The degree of resistance against crack propagation seems to be increase and the fractographs demonstrate the high degree of surface roughness and irregularity according with the increase of fracture toughness value.

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Texture Evolution of Extruded AZ80 Mg Alloy under Various Compressive Forming Conditions (AZ80 마그네슘 합금 압출재의 압축 성형조건에 따른 방위특성 분석)

  • Yoon, J.H.;Lee, S.I.;Lee, J.H.;Park, S.H.;Cho, J.H.
    • Transactions of Materials Processing
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    • v.21 no.4
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    • pp.240-245
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    • 2012
  • With the increasing demand for light-weight materials to reduce fuel consumption, the automobile industry has extensively studied magnesium alloys which are light weight metals. The intrinsic poor formability and poor ductility at ambient temperature due to the hexagonal close-packed (HCP) crystal structure and the associated insufficient number of independent slip systems restricts the practical usage of these alloys. Hot working of magnesium alloys using a forging or extrusion enables net-shape manufacturing with enhanced formability and ductility since there are several operative non-basal slip systems in addition to basal slip plane, which increases the workability. In this research, the thermomechanical properties of AZ80 Mg alloy were obtained by compression testing at the various temperatures and strain rates. Optical microscopy and EBSD were used to study the microstructural behavior such as misorientation distribution and dynamic recrystallization. The results were correlated to the hardening and the softening of the alloy. The experimental data in conjunction with a physical explanation provide the optimal conditions for net-shape forging under hot or warm temperatures through control of the grain refinement and the working conditions.

Mechanical Behavior and Physical Properties of Zr-Ti-Cu-Ni-Be Amorphous and Partially Crystallized Alloy Extracted from a Commercial Golf Club Head (Zr-Ti-Cu-Ni-Be 합금으로 제조된 상용 골프클럽헤드의 부위별 물리적 특성 및 기계적 거동)

  • Choi, Young-Chul;Hong, Sun-Ig
    • Korean Journal of Materials Research
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    • v.15 no.11
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    • pp.697-704
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    • 2005
  • The deformation behavior of a bulk amorphous and crystallized amorphous $Zr_{22.5}Ti_{14}Cu_{12.5}Ni_{10}Be_{22.5}$ alloy extracted from a commercial golf club head was characterized at room temperature ana $300^{\circ}C$. At room temperature, amorphous specimens revealed higher yield stress and ductility than partially crystallized alloy specimens. Amorphous alloy displayed some plasticity before fracture, which resulted from strain hardening and repeated crack initiation and propagation. The fracture is mainly localized on one major shear band, and the compressive fracture angle of the amorphous specimen between the stress axis and the fracture plane was about $40^{\circ}$ Scanning electron microscope observations revealed mainly a vein-like structure in the amorphous alloy But the fracture surface of partially crystallized amorphous alloy consisted of vein-like and featureless fracture structure. The partially crystallized alloy extracted from the thick part of the club fractured in the elastic region, at a much lower stress level than the amorphous, suggesting that relatively coarse crystal particles formed during cooling cause the brittle fracture.

Expression of Mouse Adenosine Deaminase Gene in Transgenic Tobacco (Nicotiana tabacum L.) (형질전환 연초(Nicotiana tabacum L.)의 Mouse Adenosine Deaminase 유전자 발현)

  • 양덕춘;박지창;최광태;이정명
    • Korean Journal of Plant Tissue Culture
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    • v.22 no.4
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    • pp.195-200
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    • 1995
  • The mammalian adenosine deaminase(ADA) gene was stably expressed in transgenic tobacco plane. The chimeric ADA gene 35S/35S/AMV/ADA/Tnos, has been constructed. This chimeric gene was introduced into the binary vector pRD400, which was thereafter mobilized into Agrobacterium tumefaiens strain MP90 harboring disarmed Ti-plasmid. The resulting strains were used to transform Nicofiana tabacum L. using the leaf disc. Incorporation of the chimeric gene into plant were confirmed by PCR and Northern blot analyses. Immunoblot analysis showed that ADA protein was successfully synthesized in the transgenic tobacco plants.

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Evaluation of Fracture Toughness by J-A$_2$ Method Considering Size Effect (시편크기의 영향을 고려한 J-A$_2$ 방법에 의한 파괴인성 평가)

  • 이정윤;김영종;김용환;김재훈
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.153-163
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    • 2000
  • The size effect on fracture toughness was investigated by introducing $J-A_2$ theory. For this application,small size specimens were chosen to establish $J-A_2$ assessment curve with FEM analysis. Two-dimensional FEM analysis was conducted with plane strain model using ABAQUS by domain integral method to calculate both crack tip stress and fracture toughness which were used to establish $J-A_2$ curve. The assessment curve predicted the fracture toughness of large specimens very well when compared to the test values. The results showed good prediction for deep crack specimen, though there were acceptable deviations in shallow cracked specimens, presumably caused by constraint effect. When the curve applied to reactor vessel in order to predict end of life fracture toughness with assumption of on-power pressure test condition, it provided the reasonable pressure compared to the existing design value. Better predictions would be possible if more test data were available.

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Upper Bound Analysis of Plane Strain Hot Strip Rolling Process (상계해석법을 이용한 평면변형 열간 판압연공정해석)

  • Moon, Young-Hoon;Chun, Myeong-Sik;Yi, Joon-Jeong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.8
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    • pp.2468-2479
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    • 1996
  • An upper bound solution is obtained to perform the process analysis of hot strip rolling process. The material flows within the roll bite at various geometries and frictional conditions are obtained from finite element analysis and the typical flow pattern which is necessary to determine the kinematically admissible velocity field is assumed. From the kinematically admissible velocity field, the upper bound energy is calculated and the rolling load, angle of neutral point and forward slip ratio at various operational conditions are obtained from upper bound energy. The process analysis of above mentioned parameters at various operational conditions have provided valuable information which is hard to obtain during rolling operation and the predicted ranges of quantitive values from these analyses lie whthin the bound of actual operational data.

Finite Element Analysis and Its Verification of Springback in L-bending to Evaluate the Effect of Process Design Parameters (L-벤딩에서 공정 설계변수가 스프링백에 미치는 영향의 평가를 위한 유한요소해석 및 검증)

  • Cho, M.J.;Kim, S.J.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.30 no.6
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    • pp.275-283
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    • 2021
  • A parametric study was conducted on the effects of five fundamental design parameters on springback, including die clearance, step height, step width, punch radius, and taper relief in an L-bending process, controlled by the compression force. The experiment was also conducted to verify the usefulness of the parametric study procedure for process design, as well as the finite element predictions. The elastoplastic finite element method was utilized. The L-bending process of the york product, which is a key part of the breaker mechanism, was employed. The deformation of the material was assumed to be due to plane strain. Five samples of each design parameter were selected based on experiences in terms of process design. The finite element predictions were analyzed in detail to show a shortcut towards the process design improvement which can replace the traditional process design procedure relying on trial-and-errors. The improved process design was verified to meet all the requirements and the predictions and experiments were in good agreement.