Daiji Fujii

A finite element analysis of discontinuous thin-walled beams considering nonuniform shear warping deformation

Abstract The general displacement field of thin-walled section beams considering the uniform and nonuniform shear warping deformation is proposed by using step-by-step application of St Venants semi-inverse method. For the analysis of the general flexural-torsional response on the unsymmetrical section beams, a C 1 -continuous finite element using boundary element contraction technique is formulated and applied. With Pedersens idea G. A. Gunnlaugsson and P. T. Pedersen, Comput. Struct. 15 , 691–699 (1982); P. T. Pedersen, J. Ship Res. 35 , 254–264, (1991) [1, 2] for the compatibility condition of the warping discontinuity, it is verified that the developed beam model is very effective and useful in evaluating the additional deflection and stress concentration due to shear warping even for discontinuously variable section beam problems.

A study on plate bending analysis using overlaying mesh method

In this paper, the plate bending analysis using overlaying mesh method is presented. In general, when the plate bending problem is analyzed based on the Mindlin-Reissner theory, the reduced integration method is used to prevent the shear locking phenomenon. However, in the overlaying mesh method, the effectiveness of the reduced integration is lost because the integration points are increased by the overlaying local mesh. Therefore, the shear locking phenomenon cannot be prevented by using the regular reduced integration method when the overlaying mesh method is used. The object of this paper is to propose the effective method to solve this problem. In the present method, the interaction stiffness for shear is neglected. However, the interaction of the shear stiffness between the global model and the local model does not lose, because the influence of the shear stiffness is transmitted each other through the pure bending stiffness. Some examples are shown to demonstrate the effectiveness of the present method.