The book presents the principles of Damage Mechanics along with the latest research findings. Both isotropic and anisotropic damage mechanisms are presented. Various damage models are presented coupled with elastic and elasto-plastic behavior. The book includes two chapters that are solely dedicated to experimental investigations conducted by the authors. In its last chapter, the book presents experimental data for damage in composite materials that appear in the literature for the first time.· Systematic treatment of damage mechanics in composite materials· Includes special and advanced topics· Includes basic principles of damage mechanics· Includes new experimental data that appears in print for the first time· Covers both metals and metal matrix composite materials· Includes new chapters on fabric tensors· Second edition includes four new chapters

Scalar Damage and Healing Mechanics outlines the latest cutting-edge research in the field of scalar damage and healing mechanics, providing step-by-step insight on how to use scalar damage variables in various modeling scenarios. Additionally, the book discusses the latest advances in healing mechanics, covering the evolution of healing and damage, small damage and small healing, healing processes in series and in parallel, super healing, and the thermodynamics of damage and healing. Coupled systems, in which damage triggers self-healing as well as a decoupled system where healing occurs after damage is identified by external detection, are also discussed. Readers are additionally introduced to fundamental concepts such as effective stress, damage evolution, plane stress damage decomposition, and other damage processes that form the basis for a better understanding of the more advanced chapters. - Synthesizes the latest research in damage mechanics and the healing mechanics of materials, including thermodynamics, elasticity and plasticity - Includes practical exercises and problems for readers to work with before performing their own modeling scenarios - Covers various scalar damage variables and outlines different damage processes

"Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.

Selected, peer reviewed papers from the 2nd International Conference on Damage Mechanics (ICDM2), July 8-11, 2015, Troyes, France

Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography.

This book covers research from modern directions in solid mechanics, in particular, in the fields of mechanics of composite materials, fracture mechanics, strength of materials and structures, thermo-viscoelasticity and plasticity, mechanics of shell structures, contact mechanics, theory of wave propagation, dynamics of mechanical and hydromechanical systems. The book presents some new results in the main research directions in mechanics on which the institutions of the National Academy of Sciences of Ukraine are focused. In addition to these studies, the results of joint scientific projects of the academic institutions with universities and research institutions of Ukraine are presented. The work is dedicated to the 145th anniversary of Stepan Prokopovich Timoshenko, the world-famous scientist in the field of mechanics, the founder of the Institute of Mechanics of the National Academy of Sciences of Ukraine, one of the founders of the National Academy of Sciences of Ukraine and academic teacher with world-wide reputation with great influence on engineering education.

The monograph is the second part of the corresponding series of books. And it will be useful for scientists, designers, engineers whose activities are related to improving the technical, economic and operational indicators of non-traction rolling stock at various stages of its life cycle. In particular, the issue of the possibility and expediency of introducing various types of structural hierarchy of composite components in the construction of wagons. What can happen when creating new models of them or modernizing existing ones. To date, the traditional approach to creating a structure of freight wagons from steel has almost completely exhausted the potential for improving their technical, economic and operational indicators. At the same time, the experience of the development of composite materials and technologies for their creation in other branches of light and heavy engineering and instrument building indicates the prospect of deploying relevant research and development works on the use of such materials in railcar construction. The purpose of the monograph is to highlight the results obtained from the creation of conceptual solutions for the manufacture of component load-carrying systems of freight cars from composites. The book also presents the results of works of a theoretical and practical nature. In particular, it is given. Model of deformation of space-reinforced fibrous materials. Analysis of the temperature effect on the stress-strain state of the tank wagon composite boiler during steaming. Separate issues of creating conceptual solutions for the manufacture of component freight wagons from composites. Analysis of the strength of the composite module of the body of a coal wagon. The book can be used as a study guide for the preparation of bachelors, masters, doctors of philosophy and doctors of sciences in various specialties of transport mechanics. Including from specialties: railway transport, transport technologies, mechanical engineering, materials science and others.