Galilean Mechanics And Thermodynamics Of Continua
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| Author | : Géry de Saxcé |
| Publisher | : John Wiley & Sons |
| Total Pages | : 446 |
| Release | : 2016-01-07 |
| Genre | : Mathematics |
| ISBN | : 1119058031 |
This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities — mass, energy, force, moment, stresses, linear and angular momentum — in a single tensor. Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics − torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.
| Author | : Frédéric Barbaresco |
| Publisher | : Springer Nature |
| Total Pages | : 466 |
| Release | : 2021-06-27 |
| Genre | : Mathematics |
| ISBN | : 3030779572 |
Machine learning and artificial intelligence increasingly use methodological tools rooted in statistical physics. Conversely, limitations and pitfalls encountered in AI question the very foundations of statistical physics. This interplay between AI and statistical physics has been attested since the birth of AI, and principles underpinning statistical physics can shed new light on the conceptual basis of AI. During the last fifty years, statistical physics has been investigated through new geometric structures allowing covariant formalization of the thermodynamics. Inference methods in machine learning have begun to adapt these new geometric structures to process data in more abstract representation spaces. This volume collects selected contributions on the interplay of statistical physics and artificial intelligence. The aim is to provide a constructive dialogue around a common foundation to allow the establishment of new principles and laws governing these two disciplines in a unified manner. The contributions were presented at the workshop on the Joint Structures and Common Foundation of Statistical Physics, Information Geometry and Inference for Learning which was held in Les Houches in July 2020. The various theoretical approaches are discussed in the context of potential applications in cognitive systems, machine learning, signal processing.
| Author | : Frédéric Barbaresco |
| Publisher | : MDPI |
| Total Pages | : 473 |
| Release | : 2018-04-06 |
| Genre | : Computers |
| ISBN | : 3038424242 |
This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy
| Author | : Jean Salençon |
| Publisher | : John Wiley & Sons |
| Total Pages | : 312 |
| Release | : 2018-02-21 |
| Genre | : Mathematics |
| ISBN | : 1119510597 |
This book is centred about the Principle of virtual work and the related method for mechanical modelling. It aims at showing and enhancing the polyvalence and versatility of the virtual work approach in the mechanical modelling process. The virtual work statement is set as the principle at the root of a force modelling method that can be implemented on any geometrical description. After experimentally induced hypotheses have been made on the geometrical parameters that describe the concerned system and subsystems, the method provides a unifying framework for building up consistently associated force models where external and internal forces are introduced through their virtual rates of work. Systems described as three-dimensional, curvilinear or planar continua are considered: force models are established with the corresponding equations of motion; the validation process points out that enlarging the domain of relevance of the model for practical applications calls for an enrichment of the geometrical description that takes into account the underlying microstructure.
| Author | : Rabeb Ben Kahla |
| Publisher | : John Wiley & Sons |
| Total Pages | : 200 |
| Release | : 2020-01-02 |
| Genre | : Science |
| ISBN | : 1786305186 |
Digital models based on data from medical images have recently become widespread in the field of biomechanics. This book summarizes medical imaging techniques and processing procedures, both of which are necessary for creating bone models with finite element methods. Chapter 1 introduces the main principles and the application of the most commonly used medical imaging techniques. Chapter 2 describes the major methods and steps of medical image analysis and processing. Chapter 3 presents a brief review of recent studies on reconstructed finite element bone models, based on medical images. Finally, Chapter 4 reveals the digital results obtained for the main bone sites that have been targeted by finite element modeling in recent years.
| Author | : Abdelkhalak El Hami |
| Publisher | : John Wiley & Sons |
| Total Pages | : 244 |
| Release | : 2023-04-18 |
| Genre | : Technology & Engineering |
| ISBN | : 139420857X |
Applied Reliability for Industry 2 illustrates the multidisciplinary state-of-the-art science of experimental reliability. Many experts are now convinced that reliability is not limited to statistical sciences. In fact, many different disciplines interact in order to bring a product to its highest possible level of reliability, made available through today's technologies, developments and production methods. These three books, of which this is the second, propose new methods for analyzing the lifecycle of a system, enabling us to record the development phases according to development time and levels of complexity for its integration. Experimental reliability, as advanced in Applied Reliability for Industry 2, examines all the tools and testing methods used to demonstrate the reliability of the final mechatronic system.
| Author | : Franck Bayle |
| Publisher | : John Wiley & Sons |
| Total Pages | : 210 |
| Release | : 2019-04-10 |
| Genre | : Technology & Engineering |
| ISBN | : 1119610656 |
Today, the reliability of systems has become a major issue in most industrial applications. The theoretical approach to estimating reliability was largely developed in the 1960s for maintenance-free systems, and more recently, in the late 1990s, it was developed for maintenance-based systems. Customers’ expectations concerning reliability (as well as maintenance, safety, etc.) are growing ever more demanding over the generations of systems. However, the theoretical methods used to handle the systems are not suitable when aging mechanisms are present. This book proposes a theoretical approach to estimate all of these quantities correctly. In addition to the theoretical aspect, it details a number of issues that any industrial system will meet sooner or later, whether due to design flaws, the batch of components, manufacturing problems or new technologies that result in the aging of mechanisms during their operational use.
| Author | : Yvon Mori |
| Publisher | : John Wiley & Sons |
| Total Pages | : 436 |
| Release | : 2017-02-21 |
| Genre | : Science |
| ISBN | : 1786300516 |
The purpose of this book is to clarify the issues related to the environment of mechanical vibrations in the material life profile. In particular, through their simulation testing laboratory, through a better understanding of the physical phenomenon, means to implement to simulate, measurements and interpretations associated results. It is aimed at development of technical consultants, quality and services primarily to those testing laboratories, as well as to all those who are faced with supply reference to the environmental test calls and particularly here, vibration tests. Furthermore it should also interest students of engineering schools in the areas of competence of their future professions affected by vibration.
| Author | : Abdelaziz Bensrhair |
| Publisher | : John Wiley & Sons |
| Total Pages | : 290 |
| Release | : 2021-09-22 |
| Genre | : Computers |
| ISBN | : 1786307278 |
The main topic of this book is the recent development of on-board advanced driver-assistance systems (ADAS), which we can already tell will eventually contribute to the autonomous and connected vehicles of tomorrow. With the development of automated mobility, it becomes necessary to design a series of modules which, from the data produced by on-board or remote information sources, will enable the construction of a completely automated driving system. These modules are perception, decision and action. State-of-the-art AI techniques and their potential applications in the field of autonomous vehicles are described. Perception systems, focusing on visual sensors, the decision module and the prototyping, testing and evaluation of ADAS systems are all presented for effective implementation on autonomous and connected vehicles. This book also addresses cooperative systems, such as pedestrian detection, as well as the legal issues in the use of autonomous vehicles in open environments.
| Author | : Nathalie Godin |
| Publisher | : John Wiley & Sons |
| Total Pages | : 207 |
| Release | : 2018-02-15 |
| Genre | : Science |
| ISBN | : 1119510600 |
In this book, two kinds of analysis based on acoustic emission recorded during mechanical tests are investigated. In the first, individual, analysis, acoustic signature of each damage mechanism is characterized. So with a clustering method, AE signals that have similar shapes or similar features can be group together into a cluster. Afterwards, each cluster can be linked with a main damage. The second analysis is based on a global AE analysis, on the investigation of liberated energy, with a view to identify a critical point. So beyond this characteristic point, the criticality can be modeled with a power-law in order to evaluate time to failure.
