Study of the Cost Functional for Free Material Design Problems

Abstract

We study properties of the cost functional arising in free material optimization problems, with special emphasis on semicontinuity and its relation to convexity.

Keywords:

• Free material design
• Homogenization theory
• Structural optimization

AMS Subject Classification:

• 49J45
• 73K40
• 74P05
• 74Q20

ACKNOWLEDGMENTS

This work was developed within the Centro de Matemática e Aplicaç c[otilde]es Fundamentais. It has been supported by the Fundaç cão para a Ciência e a Tecnologia (FCT), in the framework of POCI 2010, projects ISFL-1-209 and POCI/MAT/60587/2004.