Large elastic deformations and nonlinear continuum mechanics, by A.E.Green and J.E.Adkins PDF Download
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Author: Albert Edward Green
Publisher:
ISBN:
Category : Deformation (Mechanics)
Languages : en
Pages : 348
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Book Description
Author: Albert Edward Green
Publisher:
ISBN:
Category : Deformation (Mechanics)
Languages : en
Pages : 348
Get Book Here
Book Description
Author: Albert Edward Green
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages : 372
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Book Description
Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9400700342
Category : Science
Languages : en
Pages : 742
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Book Description
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.
Author: Albert Edward Green
Publisher: Oxford University Press, USA
ISBN:
Category : Science
Languages : en
Pages : 348
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Book Description
Author: R. W. Ogden
Publisher: Courier Corporation
ISBN: 0486318710
Category : Technology & Engineering
Languages : en
Pages : 562
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Book Description
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Author: A.E. Green
Publisher:
ISBN:
Category :
Languages : en
Pages : 348
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Book Description
Author: Albert Edward Green
Publisher:
ISBN:
Category : Deformations (Mechanics)
Languages : en
Pages :
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Book Description
Author: Albrecht Bertram
Publisher: Springer Science & Business Media
ISBN: 9783540240334
Category : Science
Languages : en
Pages : 348
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Book Description
Based on three decades of teaching experience in the field, this careful and detailed introduction to non-linear continuum mechanics and to elasticity and plasticity, with a unique mathematical foundation, brings readers to the forefront of today's knowledge.
Author: W. Schumann
Publisher: Springer
ISBN: 3540389814
Category : Science
Languages : en
Pages : 243
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Book Description
In this book series on Optical Sciences, holography has been the subject of three previous volumes. In particular, Vol. 16, written by one of us (W. S. ) and Dr. M. Dubas, treated holographic interferometry of opaque bodies from the standpoint of deformation analysis. However, the fundamental principles of holography are developed there only briefly in preparation for a discussion of interference fringe modifications. This new volume in the series is intended to consider in detail many topics which were previously omitted, such as the deformation or distortion of holo graphic images, the theory of volume holograms, composite or multiplex holo graphy, holographic interferometry of transparent media, time dependent effects, holographic contouring, and applications of fringe modifications to the deformation of opaque bodies. In addition, these and other subjects will be treated with the same unifying concept developed in Vol. 16, but with an addi tional emphasis on those features that have their origins in classical optics, espe cially the small-wavelength approach, the coupled-wave theory, and the Seidel aberrations. Since the field of holography and its various applications is growing rapidly, it is impossible to be comprehensive in a single book. Every effort has beep. made to avoid unnecessary duplication of Vol. 16. For example, displace ment and fringe localization problems are only briefly discussed, while some modification techniques (e. g. , sandwich holography) are not included. When needed, however, the reader is directly referred to complementary publications.
Author: Yavuz Basar
Publisher: Springer Science & Business Media
ISBN: 9783540666011
Category : Technology & Engineering
Languages : en
Pages : 216
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Book Description
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.
