Author:
Publisher: Academic Press
ISBN: 0080873871
Category : Mathematics
Languages : en
Pages : 417

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Book Description
A First Course in Rational Continuum Mechanics V1

Author: C. Truesdell
Publisher: Elsevier
ISBN: 1483220486
Category : Technology & Engineering
Languages : en
Pages : 304

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Book Description
A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.

Author: Clifford Truesdell
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 312

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Book Description

Author:
Publisher: Academic Press
ISBN: 0080874460
Category : Mathematics
Languages : en
Pages : 569

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Book Description
Ring Theory V1

Author: Kumbakonam Rajagopal
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110789515
Category : Technology & Engineering
Languages : en
Pages : 252

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Book Description
These lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response. The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity. Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding. This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.

Author: Clifford Truesdell
Publisher:
ISBN: 9780127013015
Category : Continuum mechanics
Languages : en
Pages : 280

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Book Description

Author: V. I. Levitas
Publisher: Nova Publishers
ISBN: 9781560720850
Category : Science
Languages : en
Pages : 394

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Book Description
Large Deformation of Materials with Complex Rheological Properties at Normal & High Pressure

Author: Victor A. Eremeyev
Publisher: Springer Science & Business Media
ISBN: 3642283535
Category : Science
Languages : en
Pages : 145

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Book Description
The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Author: Clifford Truesdell
Publisher:
ISBN:
Category : Continuum mechanics
Languages : en
Pages :

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Book Description

Author: C. Truesdell
Publisher: Springer Science & Business Media
ISBN: 0817648461
Category : Technology & Engineering
Languages : en
Pages : 286

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Book Description
A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe