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| Author | : Morton E. Gurtin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 248 |
| Release | : 2008-01-20 |
| Genre | : Science |
| ISBN | : 0387226567 |
Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.
| Author | : Gerard A. Maugin |
| Publisher | : CRC Press |
| Total Pages | : 562 |
| Release | : 2016-04-19 |
| Genre | : Mathematics |
| ISBN | : 9781439846131 |
Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics. Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces—one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.
| Author | : Paul Steinmann |
| Publisher | : Springer Nature |
| Total Pages | : 418 |
| Release | : 2022-03-28 |
| Genre | : Science |
| ISBN | : 3030890708 |
This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.
| Author | : Prasun Kumar Nayak |
| Publisher | : CRC Press |
| Total Pages | : 220 |
| Release | : 2022-06-02 |
| Genre | : Technology & Engineering |
| ISBN | : 1000606686 |
This book has been designed to introduce the fundamental concepts of Continuum Mechanics. A unique feature of the book is that each chapter has been presented with different types of solved problems that are explained in a simple way. This book also contains a wide variety of exercises which are intended to be an important part of the text. Note: T& F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
| Author | : Erik van der Giessen |
| Publisher | : Academic Press |
| Total Pages | : 385 |
| Release | : 2001-09-28 |
| Genre | : Science |
| ISBN | : 0120020386 |
Mechanics is defined as a branch of physics that focuses on motion and the reaction of physical systems to internal and external forces. This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied solid and fluid mechanics.
| Author | : C. Dascalu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2008-03-26 |
| Genre | : Technology & Engineering |
| ISBN | : 1402069294 |
This volume presents recent developments in the theory of defects and the mechanics of material forces. Most of the contributions were presented at the International Symposium on Defect and Material Forces (ISDMM2007), held in Aussois, France, March 2007.
| Author | : Holm Altenbach |
| Publisher | : Springer Nature |
| Total Pages | : 533 |
| Release | : 2023-07-12 |
| Genre | : Technology & Engineering |
| ISBN | : 3031287444 |
This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.
| Author | : Gert Heinrich |
| Publisher | : Springer Nature |
| Total Pages | : 491 |
| Release | : 2021-03-23 |
| Genre | : Technology & Engineering |
| ISBN | : 3030689204 |
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.
| Author | : Paul Steinmann |
| Publisher | : Springer Nature |
| Total Pages | : 402 |
| Release | : 2021-03-20 |
| Genre | : Science |
| ISBN | : 3030636844 |
This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options.
| Author | : Miloslav Pekař |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 315 |
| Release | : 2013-11-19 |
| Genre | : Science |
| ISBN | : 3319025147 |
In this book, Samohýl and Pekař offer a consistent and general non-equilibrium thermodynamic description for a model of chemically reacting mixtures. This type of model is frequently encountered in practice and up until now, chemically reacting systems (out of equilibrium) have rarely been described in books on non-equilibrium thermodynamics. Readers of this book benefit from the systematic development of the theory; this starts with general principles, going through the applications to single component fluid systems, and finishing with the theory of mixtures, including chemical reactions. The authors describe the simplest mixture model – the linear fluid – and highlight many practical and thermodynamically consistent equations for describing transport properties and reaction kinetics for this model. Further on in the book, the authors also describe more complex models. Samohýl and Pekař take special care to clearly explain all methodology and starting axioms and they also describe in detail applied assumptions and simplifications. This book is suitable for graduate students in chemistry, materials science and chemical engineering as well as professionals working in these and related areas.
