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In accordance with the contemporary way of scientific publications, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics.
Hence, this monograph addresses graduate students as well as scientists working in this field. In each chapter numerous exercises are included, allowing for self-study and intense practice.
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Solutions to the exercises are also provided. In he received his doctoral degree in mechanics, and in he obtained his habilitation degree in mechanics from the University of Bayreuth, Germany.
Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.
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. Log in to send the author a request to share. Search wyszukiwana fraza publications search everywhere search publications search magazines search people search inventions search projects search laboratories search research teams search research equipment search e-learning courses search events search oferty.
Applications of Tensor Analysis in Continuum Mechanics.
Abstract A tensor field is a tensor-valued function of position in space. Authors Victor Eremeev dr hab. Williamson, Univ. Eminently readable, it covers the elements of vector and tensor analysis, with applications of the theory to specific physics and engineering problems.
It lays particular stress on the applications of the theory to fluid dynamics. The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor.
Chapter Three considers algebraic operations on tensors.
Applications of Tensor Analysis - A. J. McConnell - Google книги
Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume.
The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material.
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