APPLICATIONS OF TENSOR ANALYSIS IN CONTINUUM MECHANICS

Victor A Eremeyev; Michael J Cloud; Leonid P Lebedev

ISBN 10: 9813238968 ISBN 13: 9789813238961

Verlag: World Scientific Publishing Co Pte Ltd, 2018

Sprache: Englisch

Zustand: Neu Hardcover

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Bibliografische Details

Titel

APPLICATIONS OF TENSOR ANALYSIS IN CONTINUUM MECHANICS

Verlag

World Scientific Publishing Co Pte Ltd

Erscheinungsjahr

2018

Sprache

Englisch

ISBN-10

9813238968

ISBN-13

9789813238961

Einband

Hardcover

Zustand

New

Verk�uferkataloge

�ber diesen Titel

Inhaltsangabe

A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. 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.

�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

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