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18. A multiscale homogenization procedure for analysis of processes involving heat deposition using constrained parameter optimization.

Author Lambrakos, S. G. Milewski, J. O.

Source Journal of Materials Engineering & Performance. v. 9 no5, Oct. 2000, p. 562-70.

Abstract Aspects of a general procedure for use with constrained parameter optimization for analyzing processes involving heat deposition such as welding processes and those involving rapid prototyping using powder deposition are discussed. The emphasis is placed on the construction of generating functions and subdomain elliptic solvers of use in the practical application of constrained parameter optimization for the calculation of thermal histories. The procedure for the construction of generating functions and elliptic solvers uses the concept of multiscale homogenization. The elements of the theoretical foundation of the general methodology based on constrained parameter optimization are discussed as these elements are associated with the application of generating functions and subdomain solvers. XX




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