Complex, Graded and Interpenetrating Microstructures

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Siegfried Schmauder · Leon Mishnaevsky Jr.

Micromechanics and Nanosimulation of Metals and Composites Advanced Methods and Theoretical Concepts

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Professor Dr. Siegfried Schmauder Institute for Materials Testing, Materials Science and Strength of Materials (IMWF) University of Stuttgart Pfaffenwaldring 32 D-70569 Stuttgart Germany [email protected]

ISBN: 978-3-540-78677-1

Dr.-Ing. habil. Leon Mishnaevsky Jr. Senior Scientist Risø.DTU National Laboratory for Sustainable Energy Technical University of Denmark AFM-228 DK-4000 Roskilde Denmark [email protected]

e-ISBN: 978-3-540-78678-8

Library of Congress Control Number: 2008936029 c Springer-Verlag Berlin Heidelberg 2009  With kind permission of Elsevier, Hanser, Sage, and Balkema. This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com

Contents

Preface Acknowledgements References 1 1.1 1.1.1 1.1.2 1.2 1.2.1 1.2.2 1.2.3 1.2.4 1.3 1.3.1 1.3.2 2 2.1 2.1.1 2.1.2 2.2 2.2.1 2.2.2 2.3 2.3.1 2.3.2

3 3.1 3.1.1

Micromechanical experiments Micromechanisms of fracture in Al/SiC composites Experimental procedure Results of experiments and analysis In-situ observation of damage evolution and fracture in AlSi cast alloys Failure mechanisms of ductile materials Experimental procedure Experimental observations Analysis of results Micromechanisms of damage initiation and growth in tool steels Micromechanisms of damage initiation in tool steels Condition of failure of primary carbides in tool steels Micromechanical simulation of composites Embedded unit cells Model formulation Systematic studies with self-consistent embedded cell models Multiphase finite elements 3D multiphase finite element method Multiphase finite element method and damage analysis Automatic generation of 3D microstructure-based finite element models Idealized microstructures of particle reinforced composites: multiparticle unit cells with spherical inclusions Step-by-step packing approach to the 3D microstructural model generation and quasi-static analysis of elasto-plastic behavior of composites Simulation of damage and fracture Crack growth in multiphase materials Failure phenomena and criteri