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Cited article:

Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model

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Crack Growth Control Based on the Topological Derivative of the Rice’s Integral

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Journal of Elasticity 134 (2) 175 (2019)
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New Trends in Shape Optimization

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Control of crack propagation by shape-topological optimization

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Discrete & Continuous Dynamical Systems - A 35 (6) 2625 (2015)
https://doi.org/10.3934/dcds.2015.35.2625

Optimization with PDE Constraints

Günter Leugering, Jan Sokołowski and Antoni Żochowski
Lecture Notes in Computational Science and Engineering, Optimization with PDE Constraints 101 243 (2014)
https://doi.org/10.1007/978-3-319-08025-3_8

Optimal Control of Inclusion and Crack Shapes in Elastic Bodies

A. Khludnev, G. Leugering and M. Specovius-Neugebauer
Journal of Optimization Theory and Applications 155 (1) 54 (2012)
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Optimal Design of Brittle Composite Materials: a Nonsmooth Approach

Marina Prechtel, Günter Leugering, Paul Steinmann and Michael Stingl
Journal of Optimization Theory and Applications 155 (3) 962 (2012)
https://doi.org/10.1007/s10957-012-0094-6

Damage and fracture evolution in brittle materials by shape optimization methods

Grégoire Allaire, François Jouve and Nicolas Van Goethem
Journal of Computational Physics 230 (12) 5010 (2011)
https://doi.org/10.1016/j.jcp.2011.03.024