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Book Description
Notions fondamentales, équations générales, élasticité classique: ce premier tome introduit l'étudiant à la mécanique des milieux continus en s'attachant à l'essentiel, toutes les notions pouvant surcharger inutilement un cours pour débutants sont écartées. Clair et pédagogique, alliant théorie et pratique via une série d'exercices corrigés, ce manuel sera l'outil indispensable des étudiants de la maîtrise de mécanique et des élèves des écoles d'ingénieurs.
Book Description
Notions fondamentales, équations générales, élasticité classique: ce premier tome introduit l'étudiant à la mécanique des milieux continus en s'attachant à l'essentiel, toutes les notions pouvant surcharger inutilement un cours pour débutants sont écartées. Clair et pédagogique, alliant théorie et pratique via une série d'exercices corrigés, ce manuel sera l'outil indispensable des étudiants de la maîtrise de mécanique et des élèves des écoles d'ingénieurs.
Author: R. Valid Publisher: Elsevier ISBN: 0080984614 Category : Technology & Engineering Languages : en Pages : 372
Book Description
Mechanics of Continuous Media and Analysis of Structures is a six-chapter book that begins by elucidating the mechanics of solid continuous media. The text then describes the finite elements method, which undoubtedly dominates the methods used for structural analysis. Subsequent chapters explain the variational principles in linear elasticity, vibration of linear structure, non-linear deformations, and the shell theory. This book will be valuable to all those who need certain theoretical developments in mechanics, including mechanical engineers, economists, and mathematicians.
Author: Roger Temam Publisher: Cambridge University Press ISBN: 1139443216 Category : Science Languages : en Pages : 356
Book Description
Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.
Author: Gerard A Maugin Publisher: Springer Science & Business Media ISBN: 9400763530 Category : Science Languages : en Pages : 321
Book Description
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.
Author: Robert Dautray Publisher: Springer Science & Business Media ISBN: 9783540660972 Category : Mathematics Languages : en Pages : 748
Book Description
These 6 volumes -- the result of a 10 year collaboration between the authors, both distinguished international figures -- compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. The advent of high-speed computers has made it possible to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way.
Author: Renee Gatignol Publisher: World Scientific ISBN: 9814493090 Category : Science Languages : en Pages : 273
Book Description
This book constitutes a comprehensive survey of the balance equations for mass, momentum and energy for the interfaces in pure fluids and mixtures. Constitutive laws are presented for many situations in engineering science, and examples are provided, including surface viscosity effects, variable surface tension and vapor recoil. In addition, some extensions of existing theory are given: stretch effect in premixed flames, relaxation zones downstream two-phase shock waves, and effective surface tension for steep gradient zones.
Author: Francesco dell'Isola Publisher: Springer Science & Business Media ISBN: 3709109833 Category : Technology & Engineering Languages : en Pages : 363
Book Description
F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.
Author: Christine Blanc Publisher: Elsevier ISBN: 0128192410 Category : Technology & Engineering Languages : en Pages : 574
Book Description
Mechanics - Microstructure - Corrosion Coupling: Concepts, Experiments, Modeling and Cases presents the state-of-the-art on scientific and technological developments relating to the durability of materials and structures subjected to mechanical and environmental stress in industries such as energy, aeronautics, chemistry and oil. Experimental, theoretical and numerical aspects are tackled at different scales, providing readers with the most advanced tools and scientific approaches to apprehend coupling phenomena by understanding associated mechanisms, identifying variables of the first order, and proposing strategies to control and/or extend the lifespan of structures in a multi-process coupling situation. In addition, the book presents the latest advances in research in these areas (hydrogen embrittlement, stress corrosion, fatigue, etc.), especially in the consideration of the multi-scale aspect of the phenomena in the implementation of dedicated experiments. - Reviews the status of scientific and technological developments related to the durability of materials - Addresses experimental, theoretical and numerical aspects at different scales - Provides the most advanced tools and scientific approaches - Focuses on the latest advances, such as hydrogen embrittlement, stress corrosion, fatigue, and more
Author: Christophe Bouvet Publisher: John Wiley & Sons ISBN: 1786301156 Category : Science Languages : en Pages : 308
Book Description
The objective of this work on the mechanics of aeronautical solids, materials and structures is to give an overview of the principles necessary for sizing of structures in the aeronautical field. It begins by introducing the classical notions of mechanics: stress, strain, behavior law, and sizing criteria, with an emphasis on the criteria specific to aeronautics, such as limit loads and ultimate loads. Methods of resolution are then presented, and in particular the finite element method. Plasticity is also covered in order to highlight its influence on the sizing of structures, and in particular its benefits for design criteria. Finally, the physics of the two main materials of aeronautical structures, namely aluminum and composite materials, is approached in order to clarify the sizing criteria stated in the previous chapters. Exercises, with detailed corrections, then make it possible for the reader to test their understanding of the different subjects.
Author: Amar Kifani
Author: Amar Kifani
Author: R. Valid
Author: Roger Temam
Author: Gerard A Maugin
Author: Robert Dautray
Author: Renee Gatignol
Author: Paul Germain
Author: Francesco dell'Isola
Author: Christine Blanc
Author: Christophe Bouvet