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Optimization of multiphase structures considering damage

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Abstract

The present contribution deals with a gradient based optimization strategy to improve the ductility of composite structures. In order to achieve the chosen optimization goal, stiff inclusions in a soft matrix are varied in shape and location controlled by the variation of implicit level-set functions. The eXtended Finite Element Method (XFEM) allows the use of a fixed structured mesh. For the non-linear constitutive behaviour an isotropic damage model is chosen for interface and matrix softening failure; the inclusions are assumed to be elastic. For the calculation of the required sensitivities the influence of the material interfaces, the related enrichment funcions of the X-FEM as well as the kinematic and constitutive relations have to be taken into account.

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Acknowledgments

The present study has been partially sponsored by the Research Center of Excellence “Simulation Technology” of the University of Stuttgart supported by the Deutsche Forschungsgemeinschaft DFG (German Research Foundation); this support is gratefully acknowledged. The authors also thank Professor Manfred Bischoff for his continuous valuable advice.

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  1. Institute of Structural Mechanics, University of Stuttgart, Pfaffenwaldring 7, 70569, Stuttgart, Germany

    Carl Frédéric Hilchenbach & Ekkehard Ramm

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  1. Carl Frédéric Hilchenbach
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  2. Ekkehard Ramm
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Correspondence to Carl Frédéric Hilchenbach.

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Hilchenbach, C.F., Ramm, E. Optimization of multiphase structures considering damage. Struct Multidisc Optim 51, 1083–1096 (2015). https://doi.org/10.1007/s00158-014-1198-4

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