Papers by Keyword: Complex Stress Function

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Authors: Tae Hyun Baek, Seung Kee Koh, Tae Geun Park
Abstract: hybrid experimental-numerical method is presented for determining the stresses around a circular hole in a finite-width, tensile loaded plate. Calculated fringes obtained by FEA provided the information about the external boundary of the hybrid element, and those fringes on straight lines were used for hybrid analysis. In order to see the effects of varying stress field, different numbers of terms in a power-series representation of the complex type stress function were tested. Actual and reconstructed fringes were compared. The hybrid results were highly comparable with those predicted by FEA. The result showed that this approach is effective and promising because isochromatic data along the straight lines in photoelasticity can be conveniently measured by use of phase shifting photoelasticity.
Authors: Tae Hyun Baek, Henry Panganiban, Choon Tae Lee, Tae Jin Chung
Abstract: A hybrid stress determination around circular and elliptical holes utilizing photoelastic phase-shifting and nonlinear least-squares methods is presented. The method was demonstrated by calculating fringe orders of distant points along straight lines using 8-step phase-shifting method. The data was used to evaluate the coefficients in the complex stress functions for hybrid analysis. Tangential stresses around the boundary of the holes were obtained using conformal mapping technique. Different number of terms in a power-series representation of the complex type stress function was tested to qualitatively observe the effects of varying stress field. Actual fringes were related with the reconstructed and sharpened fringes along with the change in the number of terms, m. Good agreement was obtained when m in stress functions was equal to nine. At high stress concentration, the result obtained from the hybrid method agrees with FEM by two and five percent for circular and elliptical hole, respectively. The results show that the established numericalexperimental method for stress analysis is considerably reliable.
Authors: Ji Yun Mo
Abstract: Stress intensity factors are calculated for a cracked plate reinforced locally subject to mode I loading. The stiffeners are considered to have both longitudinal and transverse stiffness. There is no relative displacement between the plate and the stiffener. It is considered that the shear stresses are lumped at a finite number of locations, the result is obtained by summation. The influence of the stiffener location and the stiffener relative stiffness on cracked plate is included. The stress intensity factor depends on all these factors. Case study shows that the shear stress acting parallel to the stiffener gives more effect on the stress intensity factor than the shear stress acting perpendicular to the stiffener. To increase the relative stiffness of stiffener avails to reduce the stress intensity factor of the cracked plate.
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