Multiscale Modelling of Plasticity and Fracture by Means of Dislocation Mechanics

1. Front Matter

   Pages I-VII

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2. Atomistic Simulation Methods and their Application on Fracture

   • Bernhard Eidel, Alexander Hartmaier, Peter Gumbsch

   Pages 1-57

3. Fundamental dislocation theory and 3D dislocation mechanics

   • Volker Mohles

   Pages 59-148

4. Plasticity of moderately loaded cracks and the consequence of the discrete nature of plasticity to fatigue and fracture

   • R. Pippan, H. Weinhandl, H. G. M. Kreuzer

   Pages 149-184

5. Discrete Dislocation Plasticity Analysis of Cracks and Fracture

   • Erik Van der Giessen

   Pages 185-212

6. Statistical physical approach to describe the collective properties of dislocations

   • István Groma

   Pages 213-270

7. Basic ingredients, development of phenomenological models and practical use of crystal plasticity

   • Georges Cailletaud

   Pages 271-326

8. Computational homogenization

   • M. G. D. Geers, V. G. Kouznetsova, W. A. M. Brekelmans

   Pages 327-394

The latest state of simulation techniques to model plasticity and fracture in crystalline materials on the nano- and microscale is presented. Discrete dislocation mechanics and the neighbouring fields molecular dynamics and crystal plasticity are central parts. The physical phenomena, the theoretical basics, their mathematical description and the simulation techniques are introduced and important problems from the formation of dislocation structures to fatigue and fracture from the nano- to microscale as well as it’s impact on the macro behaviour are considered.

• Simulation
• calculus
• crystal plasticity
• material science
• mechanics
• model
• modeling
• molecular dynamics
• plasticity
• polycristalline material

• Austrian Academy of Sciences, Leoben, Austria

  Reinhard Pippan

• Fraunhofer-Institut Für Werkstoffmechanik, Iwm, Freiburg, Germany

  Peter Gumbsch

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