This book presents the basic concepts for the mathematical modeling of classical solid and fluid continuous media. It consists of eight chapters treating, Cartesian tensors, the kinematics, and dynamics of a continuous medium, thermodynamics, constitutive equations of classical Newtonian fluids and elastic solids, introduction to the linear theory of elasticity as well as Newtonian fluid mechanics. In each case, simple application examples provide analytical solutions that illustrate the power of modeling using continuum mechanics principles. Appendices give the necessary additions to follow the work and represent the field equations in cylindrical and spherical coordinate systems.
Each chapter proposes a series of exercises and suggestions for their solution is also provided. Clear and educational, this book is intended for engineering and physics students who want to learn the basic principles of continuum mechanics. The subject is developed in a simple-to-follow pedagogical manner that readers can work through on their own. They will find in this work a complete modern introduction that opens the door to this vast territory of knowledge.
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Michel Deville, ingénieur civil électricien-mécanicien diplômé de l'Université Catholique de Louvain en 1968, a soutenu sa thèse de doctorat sur un sujet relatif à l'intégration numérique des équations de Navier-Stokes. Après un séjour au département de mathématiques du Massachusetts Institute of Technology, il poursuit sa carrière académique à l'Unité de Mécanique Appliquée de l'UCL jusqu'en 1993. Ses travaux portent sur les méthodes spectrales, la modélisation de la turbulence et la simulation numérique des grandes structures. Ces techniques sont appliquées à un large spectre d'applications qui couvrent le génie médical, la simulation directe d'écoulements incompressibles et plus récemment, les fluides non newtoniens.
John Botsis obtient le diplôme d'ingénieur civil à l'Université de Patras, Grèce, en 1979. Il continue sa formation au «Case Institute of Technology» à Cleveland, Etats-Unis, où il obtient son doctorat ès sciences en 1984. Après deux ans passés au centre de recherche pour la défense nationale à Athènes, il est nommé professeur assistant au département de génie civil et des matériaux de l'Université de l'Illois à Chicago, puis associé en 1991 et ordinaire en 1995. En 1996 il est nommé professeur de mécanique des solides et des structures à l'EPFL. Son enseignement et sa recherche couvrent la mécanique des structures, la mécanique de la rupture et la fatigue de divers matériaux tels que les tissus vivants, les polymères, les métaux et les composites en vue d'applications industrielles et médicales. John Botsis s'intéresse également au développement et à l'utilisation de méthodes optiques pour l'étude du comportement des matériaux et des structures.
This book presents the basic concepts for the mathematical modeling of classical solid and fluid continuous media. It consists of eight chapters treating, Cartesian tensors, the kinematics, and dynamics of a continuous medium, thermodynamics, constitutive equations of classical Newtonian fluids and elastic solids, introduction to the linear theory of elasticity as well as Newtonian fluid mechanics. In each case, simple application examples provide analytical solutions that illustrate the power of modeling using continuum mechanics principles. Appendices give the necessary additions to follow the work and represent the field equations in cylindrical and spherical coordinate systems.
Each chapter proposes a series of exercises and suggestions for their solution is also provided. Clear and educational, this book is intended for engineering and physics students who want to learn the basic principles of continuum mechanics. The subject is developed in a simple-to-follow pedagogical manner that readers can work through on their own. They will find in this work a complete modern introduction that opens the door to this vast territory of knowledge.
"About this title" may belong to another edition of this title.
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