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Solution of the Stefan problem by involving material shrinkage

Publication date: 13.01.2016

Technical Transactions, 2015, Mechanics Issue 2-M (7) 2015, pp. 157 - 164

Authors

,
Jarosław Matlak
Institute of Mathematics, Silesian University of Technology
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Damian Słota
Institute of Mathematics, Silesian University of Technology
All publications →

Titles

Solution of the Stefan problem by involving material shrinkage

Abstract

In this paper we describe an algorithm for solving the one-dimensional Stefan problem by involving metal shrinkage. In this algorithm we use the finite element method supplemented by the procedures allowing to define the position of moving interface and the change material size associated with shrinkage. We present also some examples illustrating the precision of the presented method.

References

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[8] Grzymkowski R., Hetmaniok E., Pleszczyński M., Słota D., A Certain Analytical Method Used for Solving the Stefan Problem, Thermal Science, Vol. 17, 2013, 635-642.

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[10] Natale M., Marcusa E., Tarzia, D., Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion, Nonlinear Anal.: Real World Appl., Vol. 11, 2010, 1946-1952.

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Information

Information: Technical Transactions, 2015, Mechanics Issue 2-M (7) 2015, pp. 157 - 164

Article type: Original article

Titles:

Polish:

Solution of the Stefan problem by involving material shrinkage

English:

Solution of the Stefan problem by involving material shrinkage

Authors

Institute of Mathematics, Silesian University of Technology

Institute of Mathematics, Silesian University of Technology

Published at: 13.01.2016

Article status: Open

Licence: None

Percentage share of authors:

Jarosław Matlak (Author) - 50%
Damian Słota (Author) - 50%

Article corrections:

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Publication languages:

English

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