Some Problems of Structural Optimization

  • Andrej Cherkaev
Part of the Applied Mathematical Sciences book series (AMS, volume 140)


Here we discuss global features of optimally assembled bodies and various formulations of optimization problems. So far, we have mainly discussed the best microstructures of composites. Now we comment on the optimal layout of these composites in an optimally designed body. According to our main concept, the optimal composites have a quasiperiodic structure that varies smoothly with the stress field (see, for example, (Armand et al., 1984)). In dealing with composites, we assume that the scale of the periodicity cells is so small that the external field can be treated as homogeneous, hence the composite is represented by its effective tensor. We keep this concept, but now we consider variation in the effective tensor.


Optimal Structure Topology Optimization Problem Optimal Layout Optimal Design Problem Optimal Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Andrej Cherkaev
    • 1
  1. 1.Department of MathematicsThe University of UtahSalt Lake CityUSA

Personalised recommendations