High-Resolution Crystal Plasticity Simulations
1st Edition
Published on 2. March 2016
138 pages
978-3-86359-410-7 (ISBN)
Description
In this work the possibilities and capabilities of high-resolution crystal plasticity simulations are presented and discussed. Giving several examples, it is shown how the application of crystal plasticity simulations helps to understand the micro-mechanical behaviour of crystalline materials. To avoid the high computational costs associated with crystal plasticity simulations that arise from (i) the evaluation of the selected constitutive law, and (ii) the solution of the associated mechanical boundary value problem, both contributions to the runtime have to be kept small. This is done by (i) employing a rather simple-and therefore fast-constitutive model, and by (ii) using an effective spectral method employing fast Fourier transforms for solving the partial differential equations describing the mechanical behaviour. Here, an improved spectral solver incorporated into the Düsseldorf Advanced Material Simulation Kit (DAMASK) is used.
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Martin Diehl
High-Resolution Crystal Plasticity Simulations
Book
03/2016
1st Edition
Apprimus Verlag
€39.00
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Content
- Intro
- Contents
- 1 Introduction
- 2 Modelling Framework
- 2.1 Continuum Mechanics
- 2.1.1 Configurations
- 2.1.2 Strain Measures
- 2.1.3 Stress Measures
- 2.2 Crystal Plasticity
- 2.2.1 Isotropic Material Model
- 2.2.2 Phenomenological Material Model
- 2.3 Spectral Solver
- 2.3.1 Formulation
- 2.3.2 Implementation
- 2.3.3 Reconstruction of a Displacement Field from a Deformation GradientField
- 2.3.4 Comparison to the Finite Element Method and Stability Benchmarks
- 3 Simulations
- 3.1 Real Microstructures
- 3.1.1 Strain and Stress Partitioning in Dual Phase Steel
- 3.1.2 Strain Localisation in Magnesium
- 3.2 Artificial Microstructures
- 3.2.1 Comparison of Microstructure Generation Approaches
- 3.2.2 Subsurface Effects in Simplified Dual Phase Steel
- 3.2.3 Pattern Formation in Polycrystalline Ice under Cyclic Loading
- 4 Summary and Outlook
- A Scheme of Notation
- B DAMASK Performance
- C Copyright Information
- D Abstract
- E Zusammenfassung
- Bibliography
- Acronyms
- Nomenclature
- Index
- List of Figures
- List of Tables
