16. Finite Element and Difference Methods at the Meso—Macroscale

  1. Dr. Dierk Raabe1,2

Published Online: 24 MAR 2004

DOI: 10.1002/3527601945.ch16

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

How to Cite

Raabe, D. (1998) Finite Element and Difference Methods at the Meso—Macroscale, in Computational Materials Science: The Simulation of Materials, Microstructures and Properties, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527601945.ch16

Author Information

  1. 1

    Department for Materials Science & Engineering, Carnegie Mellon University, Room 3317, Wean Hall, Pittsburgh, PA 15213-3890, USA

  2. 2

    Institut für Metallkunde und Metallphysik, RWTH Aachen, Kopernikusstraße 14, 52056 Aachen, Germany

Publication History

  1. Published Online: 24 MAR 2004
  2. Published Print: 1 JUN 1998

ISBN Information

Print ISBN: 9783527295418

Online ISBN: 9783527601943

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Keywords:

  • FE simulations;
  • finite elements;
  • shape functions;
  • stiffness matrix;
  • solid-state kinematics;
  • stress–strain measures;
  • materials science;
  • crystal plasticity;
  • solidification

Summary

This chapter contains sections titled:

  • Introduction and Fundamentals

  • The Equilibrium Equation in FE Simulations

  • Finite Elements and Shape Functions

  • Assemblage of the Stiffness Matrix

  • Solid-State Kinematics

  • Conjugate Stress–Strain Measures

  • Finite Difference Methods at the Macroscale

  • Application of FE and FD Methods in Materials Science

  • Examples of Finite Element Simulations in Materials Science

    • Crystal Plasticity Finite Element Simulation

    • Finite Element Simulation of Solidification