INVERSE PROBLEM IN RECONSTRUCTING MIKROSTRUCTURE OF UNIDIRECTIONAL COMPOSITE MATERIALS

Abstract eng:
In the present paper the simulated annealing procedure is used to reconstruct the positions of continuous fibres as observed on transverse cross sections of a composite. The modified concept of a pair correlation function is used to define the objective function, which is identified as a sum of squared differences of nodal points of integral correlation function for a reference and optimized pattern. The optimization process is subject to two constraints. The geometrical constraint of topological entropy introduces a measure of arbitrariness of the polygonal tessellation associated with the point pattern of fibre centres. The second constraint is related to maximal radial stresses calculated at the fibres interfaces. This constraint is expressed in terms of angular positions and distances from the reference fibre to its nearest neighbours. Thus the screening effect and local interactions are taken into account. The results show that reconstructed families of the fibres dispersion resemble the reference pattern and therefore can be used for a further analysis to describe overall properties of the underlying composite material.

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