A posteriori error estimation of elasto-plastic analysis for ship structure

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It is well known that the accuracy of finite element analysis is deeply dependent on the mesh sub-division. Moreover, it takes many days to make the finite element model for an engineering problem. A posteriori error estimation method which can gives us the accuracy of the finite element analysis becomes very important because of this background.The formulation of a posteriori error estimation in finite element analysis for twodimensional elasto-plastic problems is derived based on the theory discussed by Ohtsubo and Kitamura for dimensional elastic problems. This formulation was applied into non-linear elastic problems first. The proposed error estimation method works well for both problems. Since a posteriori error is estimated element by element, the computational time is not large at all.The results of the a posteriori error estimation is used in two ways. One is that error is added in order to update stress solution. The other is that mesh sub-division is renewed based on the distribution of a posteriori error in the computational domain. Both techniques are useful in this research.It is already investigated that a posteriori error becomes minimum when all energy norm of error in all elements are the same. With this theory and the results of a posteriori error analysis can give the best finite element model from the view of least error. An integrated finite element system is developed in this research. The use of this integrated finite element system can give us the rational solution.