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Geometry Of Incompatible Deformations
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Book Synopsis Geometry of Incompatible Deformations by :
Download or read book Geometry of Incompatible Deformations written by and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-03-04 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Geometry of Incompatible Deformations".
Book Synopsis Mechanics for Materials and Technologies by : Holm Altenbach
Download or read book Mechanics for Materials and Technologies written by Holm Altenbach and published by Springer. This book was released on 2017-04-02 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.
Book Synopsis Morse Theory and Floer Homology by : Michèle Audin
Download or read book Morse Theory and Floer Homology written by Michèle Audin and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-dimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students.
Book Synopsis Advanced Problem in Mechanics II by : D. A. Indeitsev
Download or read book Advanced Problem in Mechanics II written by D. A. Indeitsev and published by Springer Nature. This book was released on 2022-03-19 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied researches, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. This book is based on the 48th edition of the international conference “Advanced Problems in Mechanics”, which was held in 2020, in St. Petersburg, Russia, and co-organized by The Peter the Great St. Petersburg Polytechnic University and the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, under the patronage of the Russian Academy of Sciences. It provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments and collaborations in mechanics and related fields.
Book Synopsis Advanced Problem in Mechanics III by : D. A. Indeitsev
Download or read book Advanced Problem in Mechanics III written by D. A. Indeitsev and published by Springer Nature. This book was released on 2023-08-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied researches, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. This book is based on the 49th edition of the international conference “Advanced Problems in Mechanics”, which was held on June 21-25, 2021, in St. Petersburg, Russia, and co-organized by The Peter the Great St. Petersburg Polytechnic University and the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, under the patronage of the Russian Academy of Sciences. It provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments and collaborations in mechanics and related fields.
Author :Igor Olegovich Cherednikov Publisher :Walter de Gruyter GmbH & Co KG ISBN 13 :3110651696 Total Pages :288 pages Book Rating :4.1/5 (16 download)
Book Synopsis Wilson Lines in Quantum Field Theory by : Igor Olegovich Cherednikov
Download or read book Wilson Lines in Quantum Field Theory written by Igor Olegovich Cherednikov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-12-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to get the reader acquainted with theoretical and mathematical foundations of the concept of Wilson loops in the context of modern quantum fi eld theory. It offers an introduction to calculations with Wilson lines, and shows the recent development of the subject in different important areas of research within the historical context.
Book Synopsis Style and mechanics of liquefaction-related deformation lower Absaroka Volcanic Supergroup (Eocene), Wyoming by : Paul L. Decker
Download or read book Style and mechanics of liquefaction-related deformation lower Absaroka Volcanic Supergroup (Eocene), Wyoming written by Paul L. Decker and published by Geological Society of America. This book was released on 1990 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometrical Foundations of Continuum Mechanics by : Paul Steinmann
Download or read book Geometrical Foundations of Continuum Mechanics written by Paul Steinmann and published by Springer. This book was released on 2015-03-25 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity. After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and metric for holonomic and anholonomic coordinate transformations are reiterated in Part II. Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics are considered. There various concepts of differential geometry, in particular aspects related to compatibility, are generically applied to the kinematics of first- and second- order geometrically nonlinear continuum mechanics. Together with the discussion on the integrability conditions for the distortions and double-distortions, the concepts of dislocation, disclination and point-defect density tensors are introduced. For concreteness, after touching on nonlinear fir st- and second-order elasticity, a detailed discussion of the kinematics of (multiplicative) first- and second-order elasto-plasticity is given. The discussion naturally culminates in a comprehensive set of different types of dislocation, disclination and point-defect density tensors. It is argued, that these can potentially be used to model densities of geometrically necessary defects and the accompanying hardening in crystalline materials. Eventually Part IV summarizes the above findings on integrability whereby distinction is made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable. The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite.
Book Synopsis Mathematical Models of Convection by : Victor K. Andreev
Download or read book Mathematical Models of Convection written by Victor K. Andreev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-08-24 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition gives a comprehensive mathematical and physical presentation of fluid flows in non-classical models of convection - relevant in nature as well as in industry. After the concise coverage of fluid dynamics and heat transfer theory it discusses recent research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.
Book Synopsis Nonconservative Stability Problems of Modern Physics by : Oleg N. Kirillov
Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Book Synopsis Homogenization Methods by : Rainer Glüge
Download or read book Homogenization Methods written by Rainer Glüge and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-02-20 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost all materials posses a microstructure, which cannot be accounted for in detail in structural engineering calculations. Instead, effective material properties are used. These are obtained by homogenization methods. This book provides
Book Synopsis Residual Stress in the Rat Left Ventricle During Growth and Remodeling by : Edward Kenneth Rodriguez
Download or read book Residual Stress in the Rat Left Ventricle During Growth and Remodeling written by Edward Kenneth Rodriguez and published by . This book was released on 1993 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis FINITE ELEMENT METHOD AND COMPUTATIONAL STRUCTURAL DYNAMICS by : MANISH SHRIKHANDE
Download or read book FINITE ELEMENT METHOD AND COMPUTATIONAL STRUCTURAL DYNAMICS written by MANISH SHRIKHANDE and published by PHI Learning Pvt. Ltd.. This book was released on 2014-06-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for senior undergraduate and postgraduate students of civil, mechanical and aerospace/aeronautical engineering, this text emphasises the importance of reliability in engineering computations and understanding the process of computer aided engineering. Written with a view to promote the correct use of finite element technology and to present a detailed study of a set of essential computational tools for the practice of structural dynamics, this book is a ready-reckoner for an in-depth discussion of finite element theory and estimation and control of errors in computations. It is specifically aimed at the audience with interest in vibrations and stress analysis. Several worked out examples and exercise problems have been included to describe the various aspects of finite element theory and modelling. The exercise on error analysis will be extremely helpful in grasping the essence of posteriori error analysis and mesh refinement. KEY FEATURES • Thorough discussion of numerical algorithms for reliable and efficient computation. • Ready-to-use finite element system and other scientific applications. • Tips for improving the quality of finite element solutions. • Companion DVD containing ready to use finite element applications. AUDIENCE: Senior Undergraduate and Postgraduate students of Civil, Mechanical and Aerospace/Aeronautical engineering
Download or read book Structural Analysis written by Amin Ghali and published by CRC Press. This book was released on 1997-10-23 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition of this comprehensive textbook combines and develops concurrently both classical and matrix based methods of structural analysis. The book, already renowned for its clarity and thoroughness, has been made even more transparent and complete. The book opens with a new chapter on the analysis of statically determinate structures, intended to provide a better preparation of students. A major new chapter on non-linear analysis has been added. Throughout the fourth edition more attention is given to the analysis of three-dimensional spatial structures. The book now contains over 100 worked examples and more than 350 problems with solutions. This is a book of great international renown, as shown by the translation of the previous edition into four languages.
Book Synopsis The Mathematics and Mechanics of Biological Growth by : Alain Goriely
Download or read book The Mathematics and Mechanics of Biological Growth written by Alain Goriely and published by Springer. This book was released on 2017-05-29 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
Book Synopsis Theory Review for Cylindrical Shells and Parametric Study of Chimneys and Tanks by : Jeroen Hoefakker
Download or read book Theory Review for Cylindrical Shells and Parametric Study of Chimneys and Tanks written by Jeroen Hoefakker and published by Eburon Uitgeverij B.V.. This book was released on 1900 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mechanics of Strain Gradient Materials by : Albrecht Bertram
Download or read book Mechanics of Strain Gradient Materials written by Albrecht Bertram and published by Springer Nature. This book was released on 2020-06-30 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 50 years, strain gradient material theories have been developed for the continuum modeling of size effects in materials and structures in terms of their elasticity, plasticity and fracturing. This book puts forward a unifying perspective to combine existing theories involving the higher order gradient of the strain tensor, or of plastic strain. It begins by reviewing experimental findings on the existence (or non-existence) of size effects on the mechanics of materials. In turn, the book devises first, second and higher order strain gradient theories from general principles, and presents constitutive frameworks that satisfy thermodynamic requirements. The special case of strain gradient plasticity is then developed and illustrated via computational analyses of size effects on the plasticity of metals at small scales. In closing, the book explains the origin of gradient effects in the case of lattice structures by drawing on homogenization theory.
