Applications of Tensor Analysis in Continuum Mechanics
Tensors, Tensor Analysis, Vectors, Vector Analysis, Differential Geometry, Engineering Mechanics, Elasticity, Theory of Shells, Generalized Media, Mathematical Physics
Authors : Victor A Eremeyev (Gdańsk University of Technology, Poland), Michael J Cloud (Lawrence Technological University, USA) and Leonid P Lebedev (National University of Colombia, Colombia)
Publisher : World Scientific
ISBN : 978-981-3238-96-1
This book provides a clear, concise, and self-contained treatment of tensors and tensor fields. It covers the foundations of linear elasticity, shell theory, and generalized continuum media, offers hints, answers, and full solutions for many of the problems and exercises, and Includes a handbook-style summary of important tensor formulas.
The book can be useful for beginners who are interested in the basics of tensor calculus. It also can be used by experienced readers who seek a comprehensive review on applications of the tensor calculus in mechanics.
Michael J Cloud received his BS, MS, and PhD degrees from Michigan State University, USA, all in electrical engineering. He has been a faculty member in the Department of Electrical and Computer Engineering at Lawrence Technological University, USA since 1987, and currently holds the rank of Associate Professor. Dr Cloud has coauthored fourteen other books, and is a senior member of the Institute of Electrical and Electronics Engineers.
Leonid P Lebedev received his DSc and PhD degrees in physics and mathematics from the Division of Elasticity at Rostov State University (now Southern Federal University), Russia. He is currently professor of mathematics at the National University of Colombia at Bogota, Columbia and simultaneously holds a faculty appointment at Southern Federal University, Russia. Dr Lebedev has coauthored ten previous books, and published more than 40 journal papers pertaining to nonlinear solid mechanics, the thermodynamics of solid mechanics, and the theory of the finite element method in nonlinear mechanics. Dr Lebedev is a member of the Society for the Interaction of Mechanics and Mathematics.
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