Slope constrained material design

Schury F, Stingl M, Wein F (2012)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Structural and Multidisciplinary Optimization Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 46

Pages Range: 813-827

Journal Issue: 6

DOI: 10.1007/s00158-012-0795-3

Abstract

We investigate a class of constrained inverse homogenization problems. The complexity of the topological solution is restricted using slope constraint regularization. We show existence of the solution for the inverse optimization problem in function space and outline a converging approximation scheme. We demonstrate how a proper numerical implementation can lead to a stable material design approach. We finally describe results for a comprehensive set of numerical test cases.

Authors with CRIS profile

Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Fabian Wein Lehrstuhl für Angewandte Mathematik

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials

How to cite

APA:

Schury, F., Stingl, M., & Wein, F. (2012). Slope constrained material design. Structural and Multidisciplinary Optimization, 46(6), 813-827. https://dx.doi.org/10.1007/s00158-012-0795-3

MLA:

Schury, Fabian, Michael Stingl, and Fabian Wein. "Slope constrained material design." Structural and Multidisciplinary Optimization 46.6 (2012): 813-827.

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