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Phase-field Methods in Materials Science and      Engineering - Nikolas Provatas

Phase-field Methods in Materials Science and Engineering

Hardcover

Published: 6th December 2010
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This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining complex mathematical and numerical techniques for solving phase-field and related continuum-field models. It also presents techniques used to model various phenomena in a detailed, step-by-step way, such that readers can carry out their own code developments. <p> Features many examples of how the methods explained can be used in materials science and engineering applications. <p> Visit the following page and click on "Examples" to find a file with codes: <a href="//www.wiley-vch.de/publish/en/books/bySubjectEE00/ISBN3-527-40747-2/?sID=82ekfegtfqadsjnpdnh0rpvkh3">//www.wiley-vch.de/publish/en/books/bySubjectEE00/ISBN3-527-40747-2/?sID=82ekfegtfqadsjnpdnh0rpvkh3</a>

"This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining advanced numerical techniques for solving phase-field and related continuum-field models. It also presents numerical techniques used to simulate various phenomena in a detailed, step-by-step way, such that readers can carry out their own code developments". (Breitbart.com: Business Wire , 29 November 2010)

PART I: Phase Transformation in Materials Science
1. Introduction to Phase transformations and microstructure formation in materials science
2. An example: Solidification of pure materials
3. Phase Transformations and Phenomenology of Landau
4. Phase field model for solidification in pure materials
5. Phase Transformations in binary alloys
6. Phase-field models of phase transformations in binary alloys
7. Applications to microstructure growth in binary alloys
8. Connection between phase-field and sharp-interface parameters

PART II: Elastic and Plastic Effects in Phase Transformations
1. Review of Mechanics of Materials
2. Overview of Modeling and Simulation Techniques in Mechanics
3. Phase-field Models
4. Applications: Effects of Elastic Stress on Thin Film Growth and Phase Transformations

PART III: Modeling Atomic Scale Systems using the Phase-Field Method
1. Phase field Modeling of Periodic Systems
2. Modeling Crystals with Phase Fields
3. Applications

PART IV: Numerical Solution Methods for simulating Phase-Field Models
1. Introduction to Numerical Methods for PDEs -
Space Discretization
2. Iterative Methods for sparse Linear Systems
3. Numerical Methods for PDEs -
Time Marching Schemes
4. Discretization of the Diffusion Equation
5. Discretization of Advection Diffusion Equations
6. Introduction to the Message Passing Interface (MPI)
7. Solved MPI Examples

ISBN: 9783527407477
ISBN-10: 3527407472
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 312
Published: 6th December 2010
Publisher: Wiley-VCH Verlag GmbH
Country of Publication: DE
Dimensions (cm): 247.06 x 22.14  x 176.95
Edition Number: 1