• Title/Summary/Keyword: in-plane stress

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Fracture toughnesses of thin sheet materials by using CT specimens (CT 시편을 이용한 박판재료의 파괴인성 특성)

  • Lee, Eok-Seop;Lee, Yun-Pyo;Gang, In-Mo;Kim, Seon-Yong;Kim, Seung-Gwon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.12
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    • pp.2090-2095
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    • 1997
  • The plane stress fracture toughness for thin aluminum alloy(2024-T3 and 7075-T6) specimens are characterized by using compact-tension (CT) specimens. Anti-buckling plates were fabricated on both sides of the thin CT specimens to prevent the buckling phenomena which caused by the 45.deg. C plastic yielding at the crack tip under the plane stress condition. The plane stress fracture toughnesses determined by three different procedures are compared with each others. The plane stress fracture toughnesses are also compared with a few published values which were determined by using center-cracked panel specimens.

Fatigue property analysis of U rib-to-crossbeam connections under heavy traffic vehicle load considering in-plane shear stress

  • Yang, Haibo;Qian, Hongliang;Wang, Ping
    • Steel and Composite Structures
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    • v.38 no.3
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    • pp.271-280
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    • 2021
  • In this study, the fatigue property of U rib-to-crossbeam connections in orthotropic steel bridge (OSB) crossbeams under heavy traffic vehicle load was investigated considering the effects of in-plane shear stress. The applicability of an improved structural stress (ISS) method was validated for the fatigue behavior analysis of nonwelded arc-shaped cutout regions in multiaxial stress states. Various types of fatigue testing specimens were compared for investigating the equivalent structural stress, fatigue crack initiation positions, and failure modes with the unified standards. Furthermore, the implications of OSB crossbeams and specified loading cases are discussed with respect to the improved method. The ISS method is proven to be applicable for analyzing the fatigue property of nonwelded arc-shaped cutout regions in OSB crossbeams. The used method is essential for gaining a reliable prediction of the most likely failure modes under a specific heavy traffic vehicle load. The evaluated results using the used method are proven to be accurate with a slighter standard deviation. We obtained the trend of equivalent structural stress in arc-shaped cutout regions and validated the crack initiation positions and propagation directions by comparing them with the fatigue testing results. The implications of crossbeam spans on fatigue property are less significant than the effects of crossbeams.

Calculation of Stress Intensity Factor in Arbitrarily Shaped Plane Crack under Uniform Pressure Loading (일정 압력에 의한 3차원 평면균열에서의 응력확대계수 계산)

  • An, Deuk-Man
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.117-122
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    • 2000
  • In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dyson's formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.

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Extension of a new tailoring optimisation technique to sandwich shells with laminated faces

  • Icardi, Ugo
    • Structural Engineering and Mechanics
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    • v.43 no.6
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    • pp.739-759
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    • 2012
  • The tailoring optimization technique recently developed by the author for improving structural response and energy absorption of composites is extended to sandwich shells using a previously developed zig-zag shell model with hierarchic representation of displacements. The in-plane variation of the stiffness properties of plies and the through-the thickness variation of the core properties are determined solving the Euler-Lagrange equations of an extremal problem in which the strain energy due to out-of-plane strains and stresses is minimised, while that due to their in-plane counterparts is maximised. In this way, the energy stored by unwanted out-of-plane modes involving weak properties is transferred to acceptable in-plane modes. As shown by the numerical applications, the critical interlaminar stress concentrations at the interfaces with the core are consistently reduced without any bending stiffness loss and the strength to debonding of faces from the core is improved. The structural model was recently developed by the author to accurately describe strain energy and interlaminar stresses from the constitutive equations. It a priori fulfills the displacement and stress contact conditions at the interfaces, considers a second order expansion of Lame's coefficients and a hierarchic representation that adapts to the variation of solutions. Its functional d.o.f. are the traditional mid-plane displacements and the shear rotations, so refinement implies no increase of the number of functional d.o.f. Sandwich shells are represented as multilayered shells made of layers with different thickness and material properties, the core being treated as a thick intermediate layer.

Measurement of In-plane Piezoelectric Charge Constant of Electro-Active Paper (Electro-Active Paper의 면내압전상수 측정)

  • Li, Yuanxie;Yun, Gyu-Young;Kim, Heung-Soo;Kim, Jae-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.943-946
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    • 2007
  • In-plane piezoelectric charge constant of Electro-Active paper (EAPap) was investigated based on direct and converse piezoelectric effects. EAPap samples were made with cellulose film with very thin gold electrode coated on both sides of the film. To characterize direct piezoelectricity of EAPap, induced charge was measured when mechanical stress was applied to EAPap. In-plane piezoelectric charge constant was extracted from the relation between induced charge and applied in-plane normal stress. To investigate converse piezoelectricity, induced in-plane strain was measured when electric field was applied to EAPap. Piezoelectric charge constant was also extracted from the relation of induced in-plane strain and applied electric field. Piezoelectric charge constants obtained from direct and converse piezoelectricity are 31 pC/N and 178 x 10-12m/V for 45 degree sample, respectively. Measured piezoelectric charge constants of EAPap provide promising potential as a piezoelectric material.

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An analysis of an elastic solid incorporating a crack under the influences of surface effects in plane & anti-plane deformations

  • Kim, Chun Il
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.123-137
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    • 2011
  • We review a series of crack problems arising in the general deformations of a linearly elastic solid (Mode-I, Mode-II and Mode-III crack) and, perhaps more significantly, when the contribution of surface effects are taken into account. The surface mechanics are incorporated using the continuum based surface/interface model of Gurtin and Murdoch. We show that the deformations of an elastic solid containing a single crack can be decoupled into in-plane (Mode-I and Mode-II crack) and anti-plane (Mode-III crack) parts, even when the surface mechanics is introduced. In particular, it is shown that, in contrast to classical fracture mechanics (where surface effects are neglected), the incorporation of surface elasticity leads to the more accurate description of a finite stress at the crack tip. In addition, the corresponding stress fields exhibit strong dependency on the size of crack.

Temperature and stress dependence of prism plane slip dislocation velocity in sapphire ($\alpha$-Al$_2$O$_3$) single crystals (사파이어($\alpha$-Al$_2$O$_3$) 단결성에 있어 prism plane slip 전위속도의 온도 및 응력의존성)

  • 윤석영;이종영
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.10 no.4
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    • pp.337-343
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    • 2000
  • Prism plane slip {11$\bar{2}$0}1/3{$\bar{1}$120} location velocity in sapphire ($\alpha$-Al$_2$O$_3$) single crystals was measured by etch-pit method. The dislocation velocities were measured as a function of temperature and stress between $1150^{\circ}C$ and $1400^{\circ}C$ for engineering stresses in the range 140 to 250 MPa. The dependence of temperature and stress in dislocation velocity was investigated. The activation energy for dislocation velocity was determined to be 4.2$\pm$0.4 eV. On the other hand, the stress exponent (m) describing the stress dependence of dislocation velocities was in the range of 4.5$\pm$0.8. Through this experiments, it was reconfirmed that the basal plane in sapphire single crystals has the 3-fold symmetry.

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Effect of Initial Defects on Welding Deformation and Residual Stress (강판의 초기不整이 용접변형.잔류응력에 미치는 영향)

  • 박정응
    • Journal of Welding and Joining
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    • v.17 no.4
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    • pp.76-84
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    • 1999
  • The residual stress generated when the steel plates were produced, did not influence on the out-of-plane deformation and residual stress generated by welding. When the initial deflection shape was a concave(Type I), the out-of-plane deformation became the same shape as that of the initial deflection and its magnitude became small. When the initial deflection made a winding in the welding direction(Type III), the out-of-plane deformation became large in the plate width. The initial deflection shape did not influence on residual stress and plastic strain produced by welding.

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Investigation on the propagation mechanism of explosion stress wave in underground mining

  • Wang, Jiachen;Liu, Fei;Zhang, Jinwang
    • Geomechanics and Engineering
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    • v.17 no.3
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    • pp.295-305
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    • 2019
  • The bedding plane has a significant influence on the effect of blasting fragmentation and the overall performance of underground mining. This paper explores the effects of fragmentation of the bedding plane and different angles by using the numerical analysis. ANSYS/LS-DYNA code was used for the implementation of the models. The models include a dynamic compressive and tensile failure which is applied to simulate the fractures generated by the explosion. Firstly, the cracks propagation with the non-bedding plane in the coal with two boreholes detonated simultaneously is calculated and the particle velocity and maximum principal stress at different points from the borehole are also discussed. Secondly, different delay times between the two boreholes are calculated to explore its effects on the propagation of the fractures. The results indicate that the coal around the right borehole is broken more fully and the range of the cracks propagation expanded with the delay time increases. The peak particle velocity decreases first and then increases with the distance from the right borehole increasing. Thirdly, different angles between the bedding plane and the centerline of the two boreholes and the transmission coefficient of stress wave at a bedding plane are considered. The results indicated that with the angles increase, the number of the fractures decreases while the transmission coefficient increases.

Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation (면외변형하의 이방성 띠판에 대한 동적계면균열)

  • Park, Jae-Wan;Choe, Seong-Ryeol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.6
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.