Author | Cherkaev, Andrej. author |
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Title | Variational Methods for Structural Optimization [electronic resource] / by Andrej Cherkaev |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1188-4 |
Descript | XXVI, 548 p. online resource |
I Preliminaries -- 1 Relaxation of One-Dimensional Variational Problems -- 2 Conducting Composites -- 3 Bounds and G-Closures -- II Optimization of Conducting Composites -- 4 Domains of Extremal Conductivity -- 5 Optimal Conducting Structures -- III Quasiconvexity and Relaxation -- 6 Quasiconvexity -- 7 Optimal Structures and Laminates -- 8 Lower Bound: Translation Method -- 9 Necessary Conditions and Minimal Extensions -- IV G-Closures -- 10 Obtaining G-Closures -- 11 Examples of G-Closures -- 12 Multimaterial Composites -- 13 Supplement: Variational Principles for Dissipative Media -- V Optimization of Elastic Structures -- 14 Elasticity of Inhomogeneous Media -- 15 Elastic Composites of Extremal Energy -- 16 Bounds on Effective Properties -- 17 Some Problems of Structural Optimization -- References -- Author/Editor Index