The book summarizes recent international research and experimental developments regarding fatigue crack growth investigations of rubber materials. It shows the progress in fundamental as well as advanced research of fracture investigation of rubber material under fatigue loading conditions, especially from the experimental point of view. However, some chapters will describe the progress in numerical modeling and physical description of fracture mechanics and cavitation phenomena in rubbers. Initiation and propagation of cracks in rubber materials are dominant phenomena which determine the lifetime of these soft rubber materials and, as a consequence, the lifetime of the corresponding final rubber parts in various fields of application. Recently, these phenomena became of great scientific interest due to the development of new experimental methods, concepts and models. Furthermore, crack phenomena have an extraordinary impact on rubber wear and abrasion of automotive tires; and understanding of crack initiation and growth in rubbers will help to support the growthing number of activities and worldwide efforts of reduction of tire wear losses and abrasion based emissions.

This volume describes new insights into the main aspects of rubber degradation by material's fatigue, wear and aging evolution, as well as their impact on mechanical rubber properties. It provides a thorough state-of-art explanation of the essential chemical, physical and mechanical principles as well as practices of material characterization for wear prediction, and to convey or define novel strategies and procedures of planning effective wear test programs. The initiating factors of abrasion, the development of surface abrasion on sharp and blunt tracks (so called cutting and chipping) and the influence of smear and lubricants is also summarized. The volume is of interest to research scientists in related fields from academia and industry.

Elastomers are found in many applications ranging from technology to daily life applications for example in tires, drive systems, sealings and print rollers. Dynamical operation conditions put extremely high demands on the performance and stability of these materials and their elastic and flow properties can be easily adjusted by simple manipulations on their elastic and viscous properties. However, the required service life suffers often from material damage as a result of wear processes such as abrasion and wear fatigue, mostly caused by crack formation and propagation. This book covers interdisciplinary research between physics, physical chemistry, material sciences and engineering of elastomers within the range from nanometres to millimetres and connects these aspects with the constitutive material properties. The different chapters describe reliable lifetime and durability predictions based on new fracture mechanical testing concepts and advanced material-theoretical methods which are finally implemented in the finite element method for structural simulations. The use of this approach allows a realistic description of complex geometrical and loading conditions which includes the peculiarities of the mechanical behaviour of elastomeric materials in detail. Furthermore, this approach demonstrates how multi-scale research concepts provide an ambitious interdisciplinary challenge at the interface between engineering and natural sciences. This book covers the interests of academic researchers, graduate students and professionals working in polymer science, rubber and tire technology and in materials science at the interface of academic and industrial research.

Morphology- Property Relationship in Rubber-Based Nanocomposites: Some Recent Developments, by A. K. Bhowmick, M. Bhattacharya, S. Mitra, K. Dinesh Kumar, P. K. Maji, A. Choudhury, J. J. George and G. C. Basak; * Rubber- Clay Nanocomposites: Some Recent Results, by Amit Das, De-Yi Wang, Klaus Werner St ckelhuber, Ren Jurk, Juliane Fritzsche, Manfred Kl ppel and Gert Heinrich; * Surface Modification of Fillers and Curatives by Plasma Polymerization for Enhanced Performance of Single Rubbers and Dissimilar Rubber/Rubber Blends, by J. W. M. Noordermeer, R. N. Datta, W. K. Dierkes, R. Guo, T. Mathew, A. G. Talma, M. Tiwari and W. van Ooij; * Recent Developments on Thermoplastic Elastomers by Dynamic Vulcanization, by R. Rajesh Babu and Kinsuk Naskar; * PTFE-Based Rubber Composites for Tribological Applications, by M. S. Khan and G. Heinrich Content Level Research

The book summarizes recent international research and experimental developments regarding fatigue crack growth investigations of rubber materials. It shows the progress in fundamental as well as advanced research of fracture investigation of rubber material under fatigue loading conditions, especially from the experimental point of view. However, some chapters will describe the progress in numerical modeling and physical description of fracture mechanics and cavitation phenomena in rubbers. Initiation and propagation of cracks in rubber materials are dominant phenomena which determine the lifetime of these soft rubber materials and, as a consequence, the lifetime of the corresponding final rubber parts in various fields of application. Recently, these phenomena became of great scientific interest due to the development of new experimental methods, concepts and models. Furthermore, crack phenomena have an extraordinary impact on rubber wear and abrasion of automotive tires; and understanding of crack initiation and growth in rubbers will help to support the growthing number of activities and worldwide efforts of reduction of tire wear losses and abrasion based emissions.

Elastomers are found in many applications ranging from technology to daily life applications for example in tires, drive systems, sealings and print rollers. Dynamical operation conditions put extremely high demands on the performance and stability of these materials and their elastic and flow properties can be easily adjusted by simple manipulations on their elastic and viscous properties. However, the required service life suffers often from material damage as a result of wear processes such as abrasion and wear fatigue, mostly caused by crack formation and propagation. This book covers interdisciplinary research between physics, physical chemistry, material sciences and engineering of elastomers within the range from nanometres to millimetres and connects these aspects with the constitutive material properties. The different chapters describe reliable lifetime and durability predictions based on new fracture mechanical testing concepts and advanced material-theoretical methods which are finally implemented in the finite element method for structural simulations. The use of this approach allows a realistic description of complex geometrical and loading conditions which includes the peculiarities of the mechanical behaviour of elastomeric materials in detail. Furthermore, this approach demonstrates how multi-scale research concepts provide an ambitious interdisciplinary challenge at the interface between engineering and natural sciences. This book covers the interests of academic researchers, graduate students and professionals working in polymer science, rubber and tire technology and in materials science at the interface of academic and industrial research.

Morphology-Property Relationship in Rubber-Based Nanocomposites: Some Recent Developments, by A. K. Bhowmick, M. Bhattacharya, S. Mitra, K. Dinesh Kumar, P. K. Maji, A. Choudhury, J. J. George and G. C. Basak; * Rubber-Clay Nanocomposites: Some Recent Results, by Amit Das, De-Yi Wang, Klaus Werner Stoeckelhuber, Rene Jurk, Juliane Fritzsche, Manfred Kluppel and Gert Heinrich; * Surface Modification of Fillers and Curatives by Plasma Polymerization for Enhanced Performance of Single Rubbers and Dissimilar Rubber/Rubber Blends, by J. W. M. Noordermeer, R. N. Datta, W. K. Dierkes, R. Guo, T. Mathew, A. G. Talma, M. Tiwari and W. van Ooij; * Recent Developments on Thermoplastic Elastomers by Dynamic Vulcanization, by R. Rajesh Babu and Kinsuk Naskar; * PTFE-Based Rubber Composites for Tribological Applications, by M. S. Khan and G. Heinrich

A. Radulescu, L.J. Fetters, D. Richter: Polymer Driven Wax Crystal Control Using Partially Crystalline Polymeric Materials.- F.R. Costa, M. Saphiannikova, U. Wagenknecht, G. Heinrich: Layered Double Hydroxide Based Polymer Nanocomposites.- S. Aoshima, S. Kanaoka: Synthesis of Stimuli-Responsive Polymers by Living Polymerization: Poly(N-Isopropylacrylamide) and Poly(Vinyl Ether)s.-

Im 2. Band des "Training Mathematik" werden die Kernthemen der Analysis vorgestellt. Diese spielen eine zentrale Rolle im Grundstudium der verschiedensten Studienrichtungen.

Dieses Buch ist Teil einer vierteiligen Buchreihe (Grundlagen, Analysis, Lineare Algebra und Analytische Geometrie sowie Stochastik). Sie soll Schulern und Studenten helfen, die Grundkenntnisse der elementaren Mathematik zu erlernen und vor allem durch Uben zu festigen. Die gesamte Buchreihe ist so aufgebaut, dass zu Begin eines jeden Kapitels die jeweilige Theorie kurz dargeboten wird. An einer Vielzahl von Beispielen werden Anwendungsmoglichkeiten gezeigt. Kernstucke des Buches sind die Beispiele und Aufgaben, die mit vollstandigem Losungsweg versehen sind. Im hier vorliegenden ersten Band werden die notwendigen Hilfsmittel bereitgestellt, die fur die weiterfuhrenden Disziplinen unentbehrlich sind."

Dieses Buch uber Operations Research verzichtet auf unnotigen mathematischen Ballast Dafur bietet es Hinweise auf praktische Anwendungsmoglichkeiten, vollstandig durchgerechnete Beispiele, um die Ablaufe der Algorithmen explizit vorgefuhrt zu bekommen, JAVA-Programme, um erhaltene Ergebnisse zu verifizieren und um komplexe Berechnungen in vernunftiger Zeit durchzufuhren und Ubungsaufgaben mit vollstandigen Losungen bzw. qualifizierten Losungshinweisen."

Die fur die Praxis wichtigsten Teilgebiete des Operations Research werden in diesem Werk besprochen. Diese soll der Anwender anhand von vollstandig durchgerechneten Beispielen und vielen Ubungsaufgaben mit ebenfalls vollstandigen Losungen kennenlernen. - Ganzzahlige Optimierung - Graphentheorie - Netzplantechnik - Simulation"

Das Buch Objektorientierte Systemanalyse begleitet den Leser anhand einiger durchgangiger Beispiele durch Analyse und Design der objektorientierten Modellierung. Die wesentlichen und praktikabelsten Diagramme der UML werden kurz und knapp beschrieben und sind mit Ubungsaufgaben und Losungen hinterlegt. Der optimale Einstieg fur Einsteiger, welche die objektorientierte Theorie auch umsetzen wollen."

Dieses Buch uber Allgemeine Systemanalyse behandelt alle Facetten dieser fur die Systementwicklung ungeheuer wichtigen Disziplin. Neben den wichtigsten theoretischen Grundlagen wird ein zeitgemasses Vorgehensmodell vorgestellt. Anschliessend werden alle wichtigen Techniken und Werkzeuge der Istanalyse und des Sollkonzepts, der beiden Teilprozesse der Systemanalyse, vorgestellt. Im letzten Abschnitt werden speziell Vorgehensmodelle zur Softwareentwicklung betrachtet. Anhand einer praktischen Fallstudie werden alle beschriebenen Inhalte durchgangig demonstriert."

Recent developments in order to represent the material behaviour of filler-reinforced elastomers under realistic operating conditions are collected in this volume. Special topics are finite element simulations and methods, dynamic material properties, experimental characterization, lifetime prediction, friction, multiphysics and biomechanics, reinforcement, ageing, fracture and fatigue as well as micro- and macromechanical approaches. Constitutive Models for Rubber VI is of interest to research and development engineers in the industry, and to postgraduates and researchers in all disciplines of engineering and materials science.