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Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials pp 49–64Cite as

Sensitivity Analysis of Micro Models for Solidification of Pure Metals

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 49))

Abstract

Theoretical aspects and examples of the application of sensitivity analysis in the thermal theory of foundry processes are presented. In particular, the so-called second generation models of solidification (micro models) are considered. The sensitivity information can be applied for different purposes, among which it is possible to use the results obtained for a given set of input data to obtain the solution for different input data. The sensitivity coefficients are also necessary for the numerical solution of inverse problems using gradient methods. The application examples concern the sensitivity of the temperature field of a casting-mould system with respect to perturbations of parameters appearing in the micro/macro model of solidification. Numerical computations are performed using the finite difference method.

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Acknowledgments

The work was done as a part of Project 2012/05/B/ST8/01477.

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Authors and Affiliations

  1. Higher School of Labour Safety Management, Katowice, Poland

    B. Mochnacki

  2. Czestochowa University of Technology, Częstochowa, Poland

    R. Szopa

Authors
  1. B. Mochnacki
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  2. R. Szopa
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Correspondence to B. Mochnacki .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Santa Catarina State Uni. - UDESC, Joinville, Santa Catarina, Brazil

    Pablo Andrés Muñoz-Rojas

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Mochnacki, B., Szopa, R. (2016). Sensitivity Analysis of Micro Models for Solidification of Pure Metals. In: Muñoz-Rojas, P. (eds) Computational Modeling, Optimization and Manufacturing Simulation of Advanced Engineering Materials. Advanced Structured Materials, vol 49. Springer, Cham. https://doi.org/10.1007/978-3-319-04265-7_3

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  • DOI: https://doi.org/10.1007/978-3-319-04265-7_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04264-0

  • Online ISBN: 978-3-319-04265-7

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