Nonlinear Elasticity; Proceedings PDF Download
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Author: Ronald Wayne Dickey
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 424
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Book Description
Author: Ronald Wayne Dickey
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 424
Get Book Here
Book Description
Author: Y. B. Fu
Publisher: Cambridge University Press
ISBN: 0521796954
Category : Mathematics
Languages : en
Pages : 541
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Book Description
Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Author: Ronald Wayne Dickey
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 426
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Book Description
Author: Gerhard A. Holzapfel
Publisher: Springer Science & Business Media
ISBN: 9783211004555
Category : Technology & Engineering
Languages : en
Pages : 360
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Book Description
The book is written by leading experts in the field presenting an up-to-date view of the subject matter in a didactically sound manner. It presents a review of the current knowledge of the behaviour of soft tissues in the cardiovascular system under mechanical loads, and the importance of constitutive laws in understanding the underlying mechanics is highlighted. Cells are also described together with arteries, tendons and ligaments, heart, and other biological tissues of current research interest in biomechanics. This includes experimental, continuum mechanical and computational perspectives, with the emphasis on nonlinear behaviour, and the simulation of mechanical procedures such as balloon angioplasty.
Author: A.I. Lurie
Publisher: Elsevier
ISBN: 0444597239
Category : Science
Languages : en
Pages : 632
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Book Description
This book examines in detail the Theory of Elasticity which is a branch of the mechanics of a deformable solid. Special emphasis is placed on the investigation of the process of deformation within the framework of the generally accepted model of a medium which, in this case, is an elastic body. A comprehensive list of Appendices is included providing a wealth of references for more in depth coverage. The work will provide both a stimulus for future research in this field as well as useful reference material for many years to come.
Author: A. Libai
Publisher: Cambridge University Press
ISBN: 9780521019767
Category : Science
Languages : en
Pages : 564
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Book Description
Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book explains shell theory, with numerous examples and applications. This second edition not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
Author: N. Kikuchi
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508
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Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Author: Larry Alan Taber
Publisher: World Scientific
ISBN: 9812387358
Category : Science
Languages : en
Pages : 417
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Book Description
Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.
Author: Pablo Pedregal
Publisher: SIAM
ISBN: 0898714524
Category : Science
Languages : en
Pages : 105
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Book Description
In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise accounts of quasi convexity, polyconvexity, and rank-one convexity, which are used in nonlinear elasticity. Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.
Author: Gerhard A. Holzapfel
Publisher: Springer Science & Business Media
ISBN: 3211958754
Category : Technology & Engineering
Languages : en
Pages : 351
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Book Description
