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Internal contact modeling for finite strain topology optimization

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Abstract

The present work proposes an extension of the third medium contact method for solving structural topology optimization problems that involve and exploit self-contact. A new regularization of the void region, which acts as the contact medium, makes the method suitable for cases with very large deformations. The proposed contact method is implemented in a second order topology optimization framework, which employs a coupled simultaneous solution of the mechanical, design update, and adjoint problems. All three problems are derived and presented in weak form, and discretized with finite elements of suitable order. The capabilities and accuracy of the developed method are demonstrated in a topology optimization problem for achieving a desired non-linear force–displacement path.

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Acknowledgements

This work was supported by the Villum Fonden through the Villum investigator project InnoTop.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 404, 2800, Kgs. Lyngby, Denmark

    Gore Lukas Bluhm, Ole Sigmund & Konstantinos Poulios

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  1. Gore Lukas Bluhm
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  2. Ole Sigmund
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  3. Konstantinos Poulios
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Correspondence to Gore Lukas Bluhm.

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Bluhm, G.L., Sigmund, O. & Poulios, K. Internal contact modeling for finite strain topology optimization. Comput Mech 67, 1099–1114 (2021). https://doi.org/10.1007/s00466-021-01974-x

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