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Nonlinear Continuum Mechanics of Solids: Fundamental Mathematical and Physical Concepts

Autor Yavuz Basar, Dieter Weichert
en Limba Engleză Paperback – dec 2010
The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.
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Specificații

ISBN-13: 9783642085888
ISBN-10: 3642085881
Pagini: 204
Ilustrații: X, 193 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of hardcover 1st ed. 2000
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.

Textul de pe ultima copertă

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring the young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation which is almost exclusively used in modern literature. This mathematical tool is presented such that the study of the book is possible without permanent reference to other works.

Caracteristici

Presenting fundamental mathematical and physical concepts of continuum mechanics, this book is a perfect introduction Emphasis is given to concepts of permanent interest The formulation in tensor notation represents the standard in modern literature Enables the reader to fulfill the requirements by research on current topics, omitting details of minor importance Includes supplementary material: sn.pub/extras