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Book Non Linear Elastic Deformations

Download or read book Non Linear Elastic Deformations written by R. W. Ogden and published by Courier Corporation. This book was released on 2013-04-26 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Nonlinear Continuum Mechanics and Large Inelastic Deformations

Download or read book Nonlinear Continuum Mechanics and Large Inelastic Deformations written by Yuriy I. Dimitrienko and published by Springer Science & Business Media. This book was released on 2010-12-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Large elastic deformation

Download or read book Large elastic deformation written by A.E. Green and published by . This book was released on 1960 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Large Elastic Deformations

Download or read book Large Elastic Deformations written by Albert Edward Green and published by Oxford University Press, USA. This book was released on 1970 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Elasticity and Plasticity of Large Deformations

Download or read book Elasticity and Plasticity of Large Deformations written by Albrecht Bertram and published by Springer Science & Business Media. This book was released on 2007-02-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This careful and detailed introduction to non-linear continuum mechanics and to elasticity and platicity, with a unique mathematical foundation, starts right from the basics. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. Brings the reader to the forefront of today's knowledge. A list of notations and an index help the reader finding specific topics.

Book Nonlinear Continuum Mechanics for Finite Element Analysis

Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.

Book Nonlinear Effects in Fluids and Solids

Download or read book Nonlinear Effects in Fluids and Solids written by Michael M. Carroll and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Nonlinear Continuum Mechanics of Solids

Download or read book Nonlinear Continuum Mechanics of Solids written by Yavuz Basar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Continuum Mechanics

    Book Details:
  • Author : Ellis H. Dill
  • Publisher : CRC Press
  • Release : 2006-11-10
  • ISBN : 9780849397790
  • Pages : 382 pages

Download or read book Continuum Mechanics written by Ellis H. Dill and published by CRC Press. This book was released on 2006-11-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Book Elements of Continuum Mechanics

Download or read book Elements of Continuum Mechanics written by R. C. Batra and published by AIAA. This book was released on 2006 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Elasticity and Plasticity of Large Deformations

Download or read book Elasticity and Plasticity of Large Deformations written by Albrecht Bertram and published by Springer Science & Business Media. This book was released on 2011-10-07 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on Material Plasticity has been added.

Book Large Elastic Deformations and Non linear Continum Mechanics

Download or read book Large Elastic Deformations and Non linear Continum Mechanics written by Albert Edward Green and published by . This book was released on 1960 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Elasticity and Plasticity of Large Deformations

Download or read book Elasticity and Plasticity of Large Deformations written by Albrecht Bertram and published by Springer Nature. This book was released on 2021-04-07 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to material theory and, in particular, to elasticity, plasticity and viscoelasticity, to bring the reader close to the frontiers of today’s knowledge in these particular fields. It starts right from the beginning without assuming much knowledge of the subject. Hence, the book is generally comprehensible to all engineers, physicists, mathematicians, and others. At the beginning of each new section, a brief Comment on the Literature contains recommendations for further reading. This book includes an updated reference list and over 100 changes throughout the book. It contains the latest knowledge on the subject. Two new chapters have been added in this new edition. Now finite viscoelasticity is included, and an Essay on gradient materials, which have recently drawn much attention.

Book Notes on Continuum Mechanics

    Book Details:
  • Author : Eduardo WV Chaves
  • Publisher : Springer Science & Business Media
  • Release : 2013-06-13
  • ISBN : 940075986X
  • Pages : 695 pages

Download or read book Notes on Continuum Mechanics written by Eduardo WV Chaves and published by Springer Science & Business Media. This book was released on 2013-06-13 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.