Download or read book Statistical Continuum Theories written by Mark Beran and published by . This book was released on 1968 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics written by Errico Presutti and published by Springer Science & Business Media. This book was released on 2008-11-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.
Download or read book Statistical Continuum Theories written by Mark J. Beran and published by . This book was released on 1968 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Continuum Mechanics written by E. Kroner and published by . This book was released on 2014-09-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Continuum Mechanics written by E. Kröner and published by Springer. This book was released on 2014-05-04 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Continuum Theory written by Sam Nadler and published by CRC Press. This book was released on 2017-07-12 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.
Download or read book Microcontinuum Field Theories written by A. Cemal Eringen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microcontinuum field theories extend classical field theories to microscopic spaces and short time scales. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity. The ideas developed here are important in modeling the fluid or elastic properties of porous media, polymers, liquid crystals, slurries, and composite materials.
Download or read book Mechanics of Random and Multiscale Microstructures written by Dominique Jeulin and published by Springer. This book was released on 2014-05-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent theoretical, computational and experimental developments in mechanics of random and multiscale solid materials. The aim is to provide tools for better understanding and prediction of the effects of stochastic (non-periodic) microstructures on materials’ mesoscopic and macroscopic properties. Particular topics involve a review of experimental techniques for the microstructure description, a survey of key methods of probability theory applied to the description and representation of microstructures by random modes, static and dynamic elasticity and non-linear problems in random media via variational principles, stochastic wave propagation, Monte Carlo simulation of random continuous and discrete media, fracture statistics models, and computational micromechanics.
Download or read book Continuum Models and Discrete Systems written by David J. Bergman and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO ARW, Shoresh, Israel, from 30 June to 4 July 2003
Download or read book Continuum Models And Discrete Systems Proceedings Of The 9th International Symposium Cmds9 written by Esin Inan and published by World Scientific. This book was released on 1998-12-07 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with continuum theories of discrete mechanical and thermodynamical systems in the fields of mathematics, theoretical and applied mechanics, physics, materials science and engineering.
Download or read book Fractals and Fractional Calculus in Continuum Mechanics written by Alberto Carpinteri and published by Springer. This book was released on 2014-05-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.
Download or read book The Static and Dynamic Continuum Theory of Liquid Crystals written by Iain W. Stewart and published by CRC Press. This book was released on 2004-06-29 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices. The need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need. The approach taken in this text, is to introduce the basic continuum theory for nematic liquid crystals in equilibria, then it proceeds to simple application of this theory- in particular, there is a discussion of electrical and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nemantics Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced and summarised with some examples of equilibrium solutions as well as those with dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.
Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer Nature. This book was released on 2021-10-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Download or read book Continuum Models for Phase Transitions and Twinning in Crystals written by Mario Pitteri and published by CRC Press. This book was released on 2002-06-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a c
Download or read book Continuum Theories in Solid Earth Physics written by Roman Teisseyre and published by Elsevier Publishing Company. This book was released on 1986 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material contained in this volume is united by common methods and ideas: the Earth's interior is treated as a continuum within the scope of classical physics. Such an approach is considered to be basically sufficient for the majority of the fundamental problems of the physics of the Earth's interior. Using modern methods of continuum mechanics and experimental data, it is possible to construct models of and theories about the dynamic processes taking place in the Earth's interior. The theories and models presented in this volume are supplemented by numerous applications to seismology (in particular earthquake physics), thermal convection of the Earth's interior, magnetic-field generation and a series of other geophysical problems. The theories and models concerning continuous media reviewed here are important for a sound understanding of the physical processes and dynamics of the Earth's interior. The authors have used the latest original results and present the elements of the theories in a concise, monographic form, referring to the abundant literature on the subject.
Download or read book Texture and Anisotropy written by U. F. Kocks and published by Cambridge University Press. This book was released on 2000-08-15 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: A successful book covering an important area of materials science, now available in paperback.
Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
