Constitutive Models for Rubber XI is a comprehensive compilation of both the oral and poster contributions to the European Conference on Constitutive Models for Rubber. This 11th edition, held in Nantes (France) 25-27th June 2019, is the occasion to celebrate the 20th anniversary of the ECCMR series. Around 100 contributions reflect the state-of-the-art in the mechanics of elastomers. They cover the fields of: Material testing Constitutive modelling and finite element implementation Micromechanical aspects, and Durability (failure, fatigue and ageing) Constitutive Models for Rubber XI is of interest for developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of elastomer mechanics and technology.

Constitutive Models for Rubber XI is a comprehensive compilation of both the oral and poster contributions to the European Conference on Constitutive Models for Rubber. This 11th edition, held in Nantes (France) 25-27th June 2019, is the occasion to celebrate the 20th anniversary of the ECCMR series. Around 100 contributions reflect the state-of-the-art in the mechanics of elastomers. They cover the fields of: Material testing Constitutive modelling and finite element implementation Micromechanical aspects, and Durability (failure, fatigue and ageing) Constitutive Models for Rubber XI is of interest for developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of elastomer mechanics and technology.

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.

Due to their unique properties, rubber materials are found in multiple engineering applications such as tires, engine mounts, shock absorbers, flexible joints, seals, etc. Nevertheless, the complex nature of the behavior of such material makes it difficult to accurately model and predict the performance of these units. The challenge to correctly reproduce the observed characteristics of rubber elements necessitates detailed experimental investigations, development of accurate constitutive models, validation of techniques to identify material parameters and efficient numerical methods. Aspects regarding fatigue and damage in elastomers are not to be left aside, as they influence the durability of the products. State-of-the-art technology in terms of constitutive modeling, numerical implementation, damage and fatigue resistance are strongly represented in these Proceedings, along with insights into advanced elastomers to be used in novel applications. Topics included in this volume are: Ageing, Friction and abrasion, Adhesion, Swelling, Continuum mechanical models and numerical implementation, Hyperelasticity, Micro-mechanical approaches, Fracture and fatigue, Mullins effect, Strain induced crystallization, Thermal effects, Reinforcement and vulcanization, Design and applications, Smart elastomers. Constitutive Models for Rubber VIII is of interest not only for undergraduates, postgraduates, academics and researchers in the discipline, but also for all those design and development engineers in the industry.

This text aims to enable the experience accumulated by engineers and the research community in materials science, continuum mechanics and applied mathematics to be shared. In this way, the design and analysis of rubber components using the Finite Element Method should be enhanced.

In order to develop innovative products, to reduce development costs and the number of prototypes and to accelerate development processes, numerical simulations become more and more attractive. As such, numerical simulations are instrumental in understanding complicated material properties like chemical ageing, crack propagation or the strain- and temperature-induced crystallisation of rubber. Therefore, experimentally validated and physically meaningful constitutive models are indispensable. Elastomers are used for products like tyres, engine and suspension mounts or seals, to name a few. The interest in modelling the quasi-static stress-strain behaviour was dominant in the past decades, but nowadays the interests also include influences of environmental conditions. The latest developments on the material behaviour of elastomers are collected in the present volume. Constitutive Models for Rubber X is a comprehensive compilation of nearly all oral and poster contributions to the European Conference on Constitutive Models for Rubber (Munich, 28-31 August 2017). The 95 highly topical contributions reflect the state of-the-art in material modelling and testing of elastomers. They cover the fields of material testing and processing, filler reinforcement, electromagnetic sensitive elastomers, dynamic properties, constitutive modelling, micromechanics, finite element implementation, stress softening, chemical ageing, fatigue and durability. In the area of rubbery materials and structures, applied research will play an important role also in the coming decades. Constitutive Models for Rubber X is of interest to developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of engineering and material sciences.

Recent developments in the modelling of rubber are collated in this volume, including not only stress-strain behaviour and the use of the large strain finite element method for simulation, but also fatigue, fracture, filler reinforcement, dynamic properties and the effects of ageing.

This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.

This book shows how neural networks are applied to computational mechanics. Part I presents the fundamentals of neural networks and other machine learning method in computational mechanics. Part II highlights the applications of neural networks to a variety of problems of computational mechanics. The final chapter gives perspectives to the applications of the deep learning to computational mechanics.