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Phase-Field Methods in Materials Science and Engineering - Product Image

Phase-Field Methods in Materials Science and Engineering

  • ID: 1415980
  • October 2010
  • 312 Pages
  • John Wiley and Sons Ltd

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.
Features many examples of how the methods explained can be used in materials science and engineering applications.

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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

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"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)

Note: Product cover images may vary from those shown
Note: Product cover images may vary from those shown

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