IJPAM: Volume 42, No. 3 (2008)
MULTIPLE STATE OPTIMAL DESIGN PROBLEMS
AND HASHIN-SHTRIKMAN BOUNDS
AND HASHIN-SHTRIKMAN BOUNDS
Marko Vrdoljak
Department of Mathematics
University of Zagreb
Zagreb, CROATIA
e-mail: marko@math.hr
Department of Mathematics
University of Zagreb
Zagreb, CROATIA
e-mail: marko@math.hr
Abstract.The Hashin-Shtrikman energy bounds are known to be saturated by sequential laminates. In this work we precisely determine the order of these laminates for the case of given sum of 
energies, with strictly less than the space dimension. Similar techniques for studying necessary conditions of optimality for multiple state optimal design problems are used.
Received: August 17, 2007
AMS Subject Classification: 35B27, 49J45, 49K20, 65K10, 74Q20
Key Words and Phrases: Hashin-Shtrikman bounds, optimal design
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3
