Sensitivity of a general class of shape functionals to topological changes
β Scribed by Novotny, A.A.
- Book ID
- 120332831
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 477 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0093-6413
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The usual notion of a saddle functional in the calculus of variations assumes a , vex/concave structure over the product space of two inner product spaces. Here the idea~ extended to include some convexity in both spaces whilst still retaining an overall saddle property. Dual extremum principles are
This paper proposes a closed form expression for the sensitivity of the macroscopic heat conductivity tensor for two-dimensional problems to topological microstructural changes of the underlying material. The sensitivity formula is remarkably simple. It is derived by applying the concept of topologi