Reanalysis of Elasto-Plastic Structural Problems Using Sensitivities

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This paper describes a procedure to predict the elasto-plastic responses of structures within the framework of the finite element method when design variables are changed. Reanalysis technique was used applying the Taylor Series Expansion Method with the results of sensitivity analysis. In the incremental finite element analysis, the load magnification factor is usually introduced to control the load increments so that yielding of individual elements takes place exactly. In sensitivity analysis, sen-sitivity of the load magnification factor with respect to the design variable was newly derived. In this connection, the sensitivity of elasto-plastic responses with respect to the yield stress of the material was also derived. Some sample calculations were performed on plane truss, plane frame and plane stress problems. The results proved the rationality of the proposed method. The reanalysis solution was much improved by considering the sensitivity of the load magnification factor although the computational time for sensitivity analysis increases. The limit of changes in design variables was also discussed to get rational reanalysis solutions.
社団法人日本船舶海洋工学会の論文