Abstract
The analysis of mechanical structures using Finite Element Method in the framework of large elastoplastic strain needs frequently the remeshing of the deformed domain during the computation. The remeshing is due to the large geometrical distortion of finite elements or to the adaptation to the physical behavior of the solution. The remeshing criteria are, generally, based on some appropriate error estimates. After the remeshing of the computational domain, the mechanical fields associated with the new mesh of the domain must be interpolated from those associated with the old mesh of the domain which allows us to rerun the computation starting from the new mesh.In this paper, we emphasize the problem of interpolation of the mechanical fields after remeshing and we propose a new field data interpolation method based on the minimisation of the finite element error between the old field and the new one which is the solution of a quadratic optimization problem. The method is implemented in two and three dimensions. A numerical example is given to show the efficiency of our approach.
Published Version
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