Search Results - "Leugering, G."

Design of Auxetic Structures via Mathematical Optimization by Schwerdtfeger, J., Wein, F., Leugering, G., Singer, R. F., Körner, C., Stingl, M., Schury, F.

“…The optimization and manufacturing of an auxetic structure is presented. An inverse homogenization method is used to obtain the optimized geometry shown in the…”
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The asymptotic analysis of a junction of two elastic beams by Leugering, G., Nazarov, S. A., Slutskij, A. S.

“…This paper is devoted to describing the asymptotic behavior of a structure consisting of thin elastic planar beams coupled at flexible joints. As the thickness…”
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On Timoshenko thin elastic inclusions inside elastic bodies by Khludnev, AM, Leugering, GR

“…The paper concerns the analysis of equilibrium problems for 2D elastic bodies with thin inclusions modeled in the framework of Timoshenko beams. The first…”
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Towards optimization of crack resistance of composite materials by adjustment of fiber shapes by Prechtel, M., Leugering, G., Steinmann, P., Stingl, M.

“…We investigate the evolution and propagation of cracks in 2-d elastic domains, which are subjected to quasi-static loading scenarios. In addition to the…”
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The Eshelby Theorem and its Variants for Piezoelectric Media by Leugering, G., Nazarov, S. A.

“…We prove the Eshelby theorem for an ellipsoidal piezoelectric inclusion in an infinite piezoelectric material. Explicit formulas for the link and polarization…”
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Optimal Control of Inclusion and Crack Shapes in Elastic Bodies by Khludnev, A., Leugering, G., Specovius-Neugebauer, M.

“…The paper is concerned with the control of the shape of rigid and elastic inclusions and crack paths in elastic bodies. We provide the corresponding problem…”
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Optimal control for traffic flow networks by GUGAT, M, HERTY, M, KLAR, A, LEUGERING, G

“…We consider traffic flow models for road networks where the flow is controlled at the nodes of the network. For the analytical and numerical optimization of…”
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Space-Time-Domain Decomposition for Optimal Control Problems Governed by Linear Hyperbolic Systems by Leugering, G¨unter

“…In this article, we combine a domain decomposition method in space and time for optimal control problems with PDE-constraints described in [2] to a…”
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MULTIDISCIPLINARY FREE MATERIAL OPTIMIZATION by HASLINGER, J., KOČVARA, M., LEUGERING, G., STINGL, M.

“…We present a mathematical framework for the so-called multidisciplinary free material optimization (MDFMO) problems, a branch of structural optimization in…”
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Korn Inequality for a Thin Periodic Corrugated Beam by Leugering, G., Nazarov, S. A., Slutskii, A. S.

“…We obtain the asymptotically exact weighted Korn inequality for a thin (of thickness δh ) periodically corrugated (with step δ ) beam clamped at its ends. The…”
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Towards a lifecycle oriented design of infrastructure by mathematical optimization by Kufner, T., Leugering, G., Martin, A., Medgenberg, J., Schelbert, J., Schewe, L., Stingl, M., Strohmeyer, C., Walther, M.

“…Today’s infrastructures are mainly designed heuristically using state-of-the-art simulation software and engineering approaches. However, due to complexity,…”
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THE ESHELBY THEOREM AND APPLICATION TO THE OPTIMIZATION OF AN ELASTIC PATCH by LEUGERING, G., NAZAROV, S., SCHURY, F., STINGL, M.

“…We present the analysis for finding optimal locations and rotations of anisotropic material inclusions in a matrix material by using the polarization matrix…”
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Simulation of fracture in heterogeneous elastic materials with cohesive zone models by Prechtel, M., Ronda, P. Leiva, Janisch, R., Hartmaier, A., Leugering, G., Steinmann, P., Stingl, M.

“…In brittle composite materials, failure mechanisms like debonding of the matrix-fiber interface or fiber breakage can result in crack deflection and hence in…”
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On the efficient solution of a patch problem with multiple elliptic inclusions by Schury, F., Greifenstein, J., Leugering, G., Stingl, M.

“…We present an asymptotic approach to find optimal rotations of orthotropic material inclusions inside an isotropic linear elastic matrix. We compute…”
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Topological derivatives for networks of elastic strings by Leugering, G., Sokolowski, J.

“…We consider linear second order differential equations on metric graphs under given boundary and nodal conditions. We are interested in the problem of changing…”
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On an inverse problem for tree-like networks of elastic strings by Avdonin, S., Leugering, G., Mikhaylov, V.

“…We consider the in‐plane motion of elastic strings on tree‐like network, observed from the ‘leaves’. We investigate the inverse problem of recovering not only…”
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On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network by Kogut, Peter I., Kupenko, Olga P., Leugering, G¨unter

“…In this paper we discuss the problem of boundary exact null controllability for weakly and strongly degenerate linear wave equation defined on star-shaped…”
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On the semi-discretization of optimal control problems for networks of elastic strings: global optimality systems and domain decomposition by Leugering, G.

“…We consider a star-graph as an examplary network, with elastic strings stretched along the edges. The network is allowed to perform out-of-the plane…”
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Regularized nonlinear scalarization for vector optimization problems with PDE-constraints by Leugering, G., Schiel, R.

“…This paper concerns the generalization and regularization of a nonlinear scalarization method by Pascoletti and Serafini, [14], to partially ordered Banach…”
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Asymptotic analysis of 3-D thin piezoelectric rods by Leugering, G., Nazarov, S.A., Slutskij, A.S.

“…We derive an asymptotic one‐dimensional model of a thin piezoelectric rod by means of a dimension reduction procedure. The rod is made from a heterogeneous…”
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