In this study, free vibration analysis of cracked plates was performed by using peridynamics. Peridynamics is a new continuum mechanics formulation which is especially suitable for problems including discontinuities such as cracks. A peridynamic Mindlin plate formulation was used and the numerical implementation was done using commercial finite element software, ANSYS. First, the formulation was verified by considering intact and cracked plates and peridynamic solutions were compared against numerical, theoretical and experimental results available in the literature. Once the formulation was verified, the effect of plate thickness, crack size and crack orientation on the natural frequencies were investigated for a centrally cracked plate. It was found that natural frequency values increase as plate thickness increases. On the other hand, increase in crack length decreases the natural frequency values. Moreover, crack orientation also increases natural frequencies for larger cracks. Finally, linear variation of thickness inside the plate causes a tilt of the mode shapes towards the thin side of the plate.
In this study, buckling analysis of cracked plates is performed by using peridynamics. A peridynamic Mindlin plate formulation is used and the numerical implementation is done using commercial finite element software, ANSYS. Critical buckling load is obtained by utilizing ANSYS Eigenvalue Buckling Analysis feature. Peridynamic results are compared against numerical and experimental results and a good agreement is obtained between different approaches. After verifying the formulation, it is utilised to investigate the effect of crack length, crack orientation and plate thickness on the critical buckling load values for a centrally and side-edge cracked plates subjected to clamped-free-clamped-free (CFCF) boundary conditions. Moreover, the effect of variable thickness on the critical buckling load is also examined.
This paper describes a quick and accurate method for predicting thermal deformation due to flame bending of the curved plate located before and after the hull. Flame bending is a common method to deform the curved plate used in shipyards. Three-dimensional thermo-elasto-plastic analysis is known as the most accurate method for predicting deformed shape in the automation of frame bending. However, the three-dimensional analysis takes a lot of computational time. The quick prediction method, strain as direct boundary (SDB), was introduced, which is a simplified prediction method based on thermal strain. This simplified method implements an equivalent load as a temperature difference that can simulate thermal deformation by flame. In the case of multiple heating lines by the flame bending, the residual strain generated by the first heating line affects the other lines. To consider the effect of residual strain, the plastic material properties are also considered. Then, the distance ratio from the center line is used to generate the same temperature field in grid mesh. The results of the prediction were evaluated for the heat affected zone (HAZ) of the specimen obtained through the flame bending experiment. Therefore, this paper introduced detail procedure of the proposed SDB method and the experimental results for the practical application.
The purpose of this study is to quickly and accurately predict the deformed shape of the curved plate located before and after the surface of the hull manufactured by multi line heating (or flame bending). Three dimensional thermo-elasto-plastic analysis takes long time and requires user's guidance to simulate the deformation. To overcome these drawbacks, this study employed the SDB(Strain as Direct Boundary) method based on thermal strain rather than the three dimensional finite element analysis using solid element. The thermal strain, including material phase transformation and volumetric expansion occurred during Martensite phase transformation, is specially considered by SDB. This study calculates the temperature dependent phase portion using material chemical composition and reflects the martensite portion dependent volumetric expansion. The Heat Affected Zone(HAZ) is obtained by thermal analysis and virtual temperature substituting the heat input is assumed by the size and shape of HAZ. In order to reflect the initial deformation due to the former heating lines to the post-deformation analysis, this study predicts the deformation by multi-line heating using the plastic material properties. Thereafter, comparing the deformation of the plate with the 3D solid elasto-plastic analysis and the SDB method, this study shows the accuracy and efficiency of the SDB method.
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