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A phase-field-based graded-material topology optimization with stress constraint
Ferdinando Auricchio, Elena Bonetti, Massimo Carraturo, Dietmar Hömberg, Alessandro Reali and Elisabetta Rocca Mathematical Models and Methods in Applied Sciences 30(08) 1461 (2020) https://doi.org/10.1142/S0218202520500281
Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering
Patrick Dondl, Patrina S. P. Poh, Martin Rumpf and Stefan Simon Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475(2227) 20180718 (2019) https://doi.org/10.1098/rspa.2018.0718
Advances in Structural and Multidisciplinary Optimization
Shape Optimization, Homogenization and Optimal Control
Nora Lüthen, Martin Rumpf, Sascha Tölkes and Orestis Vantzos International Series of Numerical Mathematics, Shape Optimization, Homogenization and Optimal Control 169 213 (2018) https://doi.org/10.1007/978-3-319-90469-6_11
Stochastic Dominance Constraints in Elastic Shape Optimization
Sergio Conti, Martin Rumpf, Rüdiger Schultz and Sascha Tölkes SIAM Journal on Control and Optimization 56(4) 3021 (2018) https://doi.org/10.1137/16M108313X
A phase field model for stress‐based evolution of load‐bearing structures
I. Muench, C. Gierden and W. Wagner International Journal for Numerical Methods in Engineering 115(13) 1580 (2018) https://doi.org/10.1002/nme.5909
Topological Shape Optimization Scheme for Nonlinear Structures Based on Artificial Bee Colony Algorithm
Sharp Interface Limit for a Phase Field Model in Structural Optimization
Luise Blank, Harald Garcke, Claudia Hecht and Christoph Rupprecht SIAM Journal on Control and Optimization 54(3) 1558 (2016) https://doi.org/10.1137/140989066
Finite strain topology optimization based on phase-field regularization
Large strain phase-field-based multi-material topology optimization
Mathias Wallin, Niklas Ivarsson and Matti Ristinmaa International Journal for Numerical Methods in Engineering 104(9) 887 (2015) https://doi.org/10.1002/nme.4962
Topology optimization utilizing inverse motion based form finding
Luise Blank, M. Hassan Farshbaf-Shaker, Harald Garcke, Christoph Rupprecht and Vanessa Styles International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 231 (2014) https://doi.org/10.1007/978-3-319-05083-6_15
Optimal fine-scale structures in compliance minimization for a uniaxial load
Robert V. Kohn and Benedikt Wirth Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2170) 20140432 (2014) https://doi.org/10.1098/rspa.2014.0432
Relating phase field and sharp interface approaches to structural topology optimization
Luise Blank, Harald Garcke, M. Hassan Farshbaf-Shaker and Vanessa Styles ESAIM: Control, Optimisation and Calculus of Variations 20(4) 1025 (2014) https://doi.org/10.1051/cocv/2014006
Risk averse elastic shape optimization with parametrized fine scale geometry
Towards the stabilization of the low density elements in topology optimization with large deformation
Ricardo Doll Lahuerta, Eduardo T. Simões, Eduardo M. B. Campello, Paulo M. Pimenta and Emilio C. N. Silva Computational Mechanics 52(4) 779 (2013) https://doi.org/10.1007/s00466-013-0843-x