Proceedings Of The Iutam Symposium On Finite Elasticity
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Proceedings Of The Iutam Symposium On Finite Elasticity
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Author : Donald E. Carlson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Iutam Symposium On Finite Elasticity written by Donald E. Carlson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Although finite elasticity theory has its roots in the nineteenth century, its development was largely neglected until the end of the Second World War. Since then it has attracted a substantial amount of attention and considerable progress has been made both in our understanding of the basis of the subject and in its applications. It occurred to me about three years ago that finite elasticity had reached a level of development at which an international symposium on the subject was overdue. Accordingly, with strong encouragement from Professor P. M. Naghdi and numerous other colleagues, I submitted to the International Union of Theoretical and Applied Mechanics a proposal for their support of such a symposium to be held at Lehigh University during the period August 10-15, 1980. The proposal received enthusiastic support from the International Union and an international scientific committee under my chairmanship, consisting of Professors G. Fichera (Rome), W. T. Koiter (Delft), L. I. Sedov (Moscow), and A. J. M. Spencer (Nottingham), was assigned responsibility for the scientific program. In constructing the program we aimed at as broad a coverage as possible of the many aspects of the subject on which significant progress is currently being made. These range from theoretical studies of existence and uniqueness of solutions of the governing equations of finite elasticity theory to experimental studies of its application to such problems as tear resistance and friction in vulcanized rubbers.
Collected Papers Of R S Rivlin
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Author : Grigory I. Barenblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-14
Collected Papers Of R S Rivlin written by Grigory I. Barenblatt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-14 with Technology & Engineering categories.
R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Mathematical Elasticity
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Author : Philippe G. Ciarlet
language : en
Publisher: SIAM
Release Date : 2022-01-22
Mathematical Elasticity written by Philippe G. Ciarlet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-22 with Mathematics categories.
The first book of a three-volume set, Three-Dimensional Elasticity covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. It includes the known existence theorems, either via the implicit function theorem or via the minimization of the energy (John Ball’s theory). An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
Nonlinear Effects In Fluids And Solids
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Author : Michael M. Carroll
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Effects In Fluids And Solids written by Michael M. Carroll and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin uum mechanics. His outstanding pioneering theoretical and experimental re ·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has al ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.
Three Dimensional Elasticity
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Author :
language : en
Publisher: Elsevier
Release Date : 1994-01-19
Three Dimensional Elasticity written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-19 with Technology & Engineering categories.
This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.
Waves In Nonlinear Pre Stressed Materials
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Author : M. Destrade
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-08
Waves In Nonlinear Pre Stressed Materials written by M. Destrade and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-08 with Technology & Engineering categories.
The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications. A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.
Mechanics And Mathematics Of Crystals Selected Papers Of J L Ericksen
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Author : Jerald L Ericksen
language : en
Publisher: World Scientific
Release Date : 2005-04-13
Mechanics And Mathematics Of Crystals Selected Papers Of J L Ericksen written by Jerald L Ericksen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-13 with Science categories.
This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.
Non Linear Elastic Deformations
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Author : R. W. Ogden
language : en
Publisher: Courier Corporation
Release Date : 2013-04-26
Non Linear Elastic Deformations written by R. W. Ogden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Technology & Engineering categories.
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.
Nonlinear Problems Of Elasticity
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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Nonlinear Problems Of Elasticity written by Stuart Antman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Mechanobiology
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Author : J. F. Stoltz
language : en
Publisher: IOS Press
Release Date : 2004
Mechanobiology written by J. F. Stoltz and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Medical categories.
Mechanobiology is now a vigorous branch of biomechanics and biorheology which is mainly concerned with the study of the influence of mechanical forces on cells and tissues and their clinical or therapeutical applications. As we are now at the age of proteomics and genomics and of cell micromechanical approaches, using methods like laser tweezers or confocal microscopy, mechanobiology brings new challenges. With these new researches, mechanobiology is the promise of new diagnostic and therapeutic approaches. T to the system under scrutiny and that stresses are implicated in tissue physiology (for example by the production of the extracellular matrix), secretions (i.e. production of NO and prostaglandins by endothelial cells), or for the induction of specific functions via intercellular communication; hence the interest from pharmacology in studies on new molecules. Moreover, these new findings have led to the development of tissue engineering, which is the concept of substitute tissue developed in vitro, from bioresorbable or non-bioresorbable scaffolds and from cells harvested in a physiologic mechanical environment such as from cartilage, bone and vessels. At the same time, the problem of cell grafting in tissue repair and especially the use of stem cells have led to new therapeutic fields.