Accession Number : ADA260087


Title :   Center for Shape Optimization and Material Layout


Descriptive Note : Final rept. 1 Jun 1990-31 Oct 1992


Corporate Author : WORCESTER POLYTECHNIC INST MA


Personal Author(s) : Lurie, Konstantin A ; Northrup, James I


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a260087.pdf


Report Date : Jan 1992


Pagination or Media Count : 234


Abstract : The final report reflects the development of a direct method of solving problems of optimal design of systems described by elliptic equations of the 2nd and 4th order. This method is based on a special 'polysaddle' transformation of the integrand of the corresponding max min - problem applied to construct the appropriate two-sided bounds; an analytical and computational technique is developed to make this construction possible. Geometrical aspects of the above transform are discussed in detail as well as the material implementation of the corresponding layouts. The results obtained provide a theoretical basis for a direct computational assembling of the global layout from special laminar microstructures determined analytically by the aforementioned technique.... Direct relaxation, Polysaddle transform, Convex hulls.


Descriptors :   *MICROSTRUCTURE , *SYSTEMS ENGINEERING , *CONDUCTION(HEAT TRANSFER) , *NUMERICAL ANALYSIS , GLOBAL , TWO DIMENSIONAL , ELASTIC PROPERTIES , CONSTRUCTION , TRANSFORMATIONS , EQUATIONS , RELAXATION , PROBLEM SOLVING , SHAPE , MATERIALS , COMPUTATIONS , OPTIMIZATION


Subject Categories : Numerical Mathematics
      Thermodynamics


Distribution Statement : APPROVED FOR PUBLIC RELEASE