Geometry of Incompatible Deformations
Author:
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2019-03-04
Total Pages: 410
ISBN-13: 3110563215
DOWNLOAD EBOOKNo detailed description available for "Geometry of Incompatible Deformations".
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Mechanics for Materials and Technologies
Author: Holm Altenbach
Publisher: Springer
Published: 2017-04-02
Total Pages: 460
ISBN-13: 3319560506
DOWNLOAD EBOOKThis 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.
Morse Theory and Floer Homology
Author: Michèle Audin
Publisher: Springer Science & Business Media
Published: 2013-11-29
Total Pages: 595
ISBN-13: 1447154967
DOWNLOAD EBOOKThis 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.
Advanced Problem in Mechanics II
Author: D. A. Indeitsev
Publisher: Springer Nature
Published: 2022-03-19
Total Pages: 558
ISBN-13: 3030921441
DOWNLOAD EBOOKThis 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.
Advanced Problem in Mechanics III
Author: D. A. Indeitsev
Publisher: Springer Nature
Published: 2023-08-02
Total Pages: 443
ISBN-13: 3031372468
DOWNLOAD EBOOKThis 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.
Homogenization Methods
Author: Rainer Glüge
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2023-02-20
Total Pages: 198
ISBN-13: 3110793520
DOWNLOAD EBOOKAlmost 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
Encyclopedic Dictionary of Condensed Matter Physics
Author: Charles P. Poole Jr.
Publisher: Academic Press
Published: 2004-03-11
Total Pages: 1658
ISBN-13: 0080545238
DOWNLOAD EBOOKThis volume is a translation and revision of the Original Russian version by Baryahktar. It covers all of the main fields involved in Condensed Matter Physics, such as crystallography, electrical properties, fluids, magnetism, material properties, optics, radiation, semiconductors, and superconductivity, as well as highlights of important related subjects such as quantum mechanics, spectroscopy, and statistical mechanics. Both theoretical and experimental aspects of condensed matter are covered in detail. The entries range from very short paragraphs on topics where definitions are needed, such as Bloch's law, clathrate compound, donor, domain, Kondo lattice, mean free path, and Wigner crystal, to long discussions of more general or more comprehensive topics such as antiferromagnetism, crystal lattice dynamics, dislocations, Fermi surface, Josephson effect, luminescence, magnetic films, phase transitions and semiconductors. The main theoretical approaches to Condensed Matter Physics are explained. There are several long tables on, for example, Bravais lattices, characteristics of magnetic materials, units of physical quantities, symmetry groups. The properties of the main elements of the periodic table are given. Numerous entries not covered by standard Solid State Physics texts o Self-similarity o The adiabatic approximation o Bistability Emphasis on materials not discussed in standard texts o Activated carborn o Austenite o Bainite o Calamitics o Carbine o Delat phase o Discotics o Gunier-Preston zones o Heterodesmic structures o Heusler Alloys o Stress and strain deviators o Vicalloy · Each entry is fully cross-referenced to help tracking down all aspects of a topic under investigation Highly illustrated to clarify many concepts
Style and mechanics of liquefaction-related deformation lower Absaroka Volcanic Supergroup (Eocene), Wyoming
Author: Paul L. Decker
Publisher: Geological Society of America
Published: 1990
Total Pages: 85
ISBN-13: 0813722403
DOWNLOAD EBOOKGeometrical Foundations of Continuum Mechanics
Author: Paul Steinmann
Publisher: Springer
Published: 2015-03-25
Total Pages: 534
ISBN-13: 3662464608
DOWNLOAD EBOOKThis 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.
Structural Analysis
Author: Amin Ghali
Publisher: CRC Press
Published: 1997-10-23
Total Pages: 874
ISBN-13: 9780419212003
DOWNLOAD EBOOKThe 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.
