by Academic .
Written in English
|Statement||by L. Brillouin.|
Tensors in mechanics and elasticity (Engineering physics; an international series of monographs) Hardcover – January 1, by Léon Brillouin (Author) See all formats and editions Hide other formats and editions. Price New from Used from Author: Léon Brillouin. Tensors: The Mathematics of Relativity Theory and Continuum Mechanics, by Anadijiban Das, emerged from courses taught over the years at the University College of Dublin, Carnegie-Mellon University and Simon Fraser University. This book will serve readers well as a modern introduction to the theories of tensor algebra and tensor by: COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection. National Emergency Tensors in mechanics and elasticity by Brillouin, Léon, Publication date Topics Calculus of tensors, Elasticity, Quantum theory Publisher New York: Academic PressPages:
General remarks and first examples --Vector geometry, definition of tensors --Pseudo-tensors in vector geometry; tensor densities and capacities --The principal differential operators in vector geometry --Postulate of parallel displacement; covariant derivative in affine geometry --Metric geometry, Riemann space --Differential operators and the covariant derivative in metric geometry --The application of Riemann geometries to analytical mechanics . This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells. Tensors have their applications to Riemannian Geometry, Mechanics, Elasticity, Theory of Relativity, Electromagnetic Theory and many other disciplines of Science and Engineering. This book has been presented in such a clear and easy way that the students will have no difficulty in understanding Size: 1MB. Solid Mechanics Part II Kelly Vectors, Tensors and the Index Notation The equations governing three dimensional mechanics problems can be quite lengthy. For this reason, it is essential to use a short-hand notation called the index Size: KB.
Stresses, Singularities, and a Complementary Energy Principle for Large Strain Elasticity Appl. Mech. Rev (May, ) Size-Dependent Eshelby’s Tensor for Embedded Nano-Inclusions Incorporating Surface/Interface EnergiesCited by: This volume offers a working knowledge of the fundamentals of matrix and tensor calculus that can be applied to a variety of fields. Relevant to mathematicians, physicists, meteorologists, and electrical engineers, its contents are of particular value to mechanical and aeronautical engineers, who will find information on vibrations, aircraft flutter, elasticity, hydrodynamics, and fluid by: 6. mechanics. In particular, the material is presented to (i) develop a physical understanding of the mathematical concepts associated with tensor calculus and (ii) develop the basic equations of tensor calculus, di erential geometry and continuum mechanics which arise in engineering applications. From these basic equations one can go on to. Tensors in Mechanics and Elasticity By Prof. Leon Brillouin. Translated from the French by Robert O. Brennan, S.J. (Engineering Physics: an International Series of Author: P. A. Egelstaff.