Multi-scale analysis and research on special-shaped structure of plain weave composites
For the special-shaped structure of plain weave composites,the differences of multi-scale computa-tional results obtained by two homogenization methods,including the stiffness spatial average method and uniform strain boundary condition method,are analyzed in the conditions of ply-direction tensile displacement loading and force loading.The results are compared with the reference results obtained using the whole mesoscopic model.More-over,the influence of the number of partitions on multi-scale computational results is also analyzed.It is shown that the σy stress distribution trend of the two homogenization methods are consistent with same multi-scale model,and the results are in agreement with the fine model.In the displacement load,the maximum errors between the Mises/σy of multi-scale results and the fine results are only 9.5%and 3.3%,and the errors decreased gradually with the increase of the number of partitions.However,the errors of the results in force loading are bigger,and it does not decrease with the increase of the number of partitions.And the results of uniform strain boundary condition are gen-erally larger than the results of stiffness spatial averages.Finally,the partitioning method of multi-scale models will destroy some structural features and affect the multi-scale results to some extent.
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