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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.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematical Methods in Physics. --- Mathematical physics. --- Engineering mathematics. --- Materials. --- Ingénierie --- Physique mathématique --- Mathématiques de l'ingénieur --- Matériaux --- Plasticity --- Fracture mechanics --- Mathematical models --- Fracture mechanics -- Mathematical models. --- Fracture mechanics. --- Mathematical models. --- Plasticity -- Mathematical models. --- Plasticity. --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Crystals --- Plastic properties --- Physics. --- Applied mathematics. --- Continuum mechanics. --- Mechanical engineering. --- Mechanical Engineering. --- Crystallography --- Powders --- Solids --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Physical mathematics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Machinery --- Steam engineering --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Plasticity - Mathematical models --- Fracture mechanics - Mathematical models --- Solids. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids

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The nature and the human creations are full of complex phenomena, which sometimes can be observed but rarely follow our hypotheses. The best we can do is to build a parametric model and then try to adjust the unknown parameters based on the available observations. This topic, called parameter identification, is discussed in this book for materials and structures. The present volume of lecture notes follows a very successful advanced school, which we had the honor to coordinate in Udine, October 6-10, 2003. The authors of this volume present a wide spectrum of theories, methods and applications related to inverse and parameter identification problems. We thank the invited lecturers and the authors of this book for their contributions, the participants of the course for their active participation and the interesting discussions as well as the people of CISMfor their hospitality and their well-known professional help. Zenon Mroz Georgios E. Stavroulakis CONTENTS Preface An overview of enhanced modal identification by L. Bolognini 1 The reciprocity gap functional for identifying defects and cracks by H. D. Bui, A. Constantinescu and H. Maigre 17 Some innovative industrial prospects centered on inverse analyses by G. Maier, M. Bocciarelli andR. Fedele 55 Identification of damage in beam and plate structures using parameter dependent modal changes and thermographic methods by Z. Mroz andK. Dems 95 Crack and flaw identification in statics and dynamics, using filter algorithms and soft computing by G. E, Stavroulakis, M. Engelhardt andH.

Engineering. --- Numerical and Computational Methods in Engineering. --- Computer Applications in Geosciences. --- Calculus of Variations and Optimal Control; Optimization. --- Artificial Intelligence (incl. Robotics). --- Artificial intelligence. --- Mathematical optimization. --- Ingénierie --- Intelligence artificielle --- Optimisation mathématique --- Fracture mechanics --- Modal analysis. --- Mathematical models. --- Fracture mechanics -- Mathematical models. --- Fracture mechanics. --- Modal analysis --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Computer Science --- Mathematical models --- Structural analysis (Engineering) --- Structural engineering. --- Engineering, Structural --- Structures, Engineering of --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Earth sciences. --- Calculus of variations. --- Computational intelligence. --- Computational Intelligence. --- Earth Sciences, general. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Geosciences --- Environmental sciences --- Physical sciences --- Construction --- Industrial arts --- Technology --- Architecture --- Engineering --- Structural engineering --- Geography. --- Artificial Intelligence. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- System analysis --- Cosmography --- Earth sciences --- World history