An Introduction To The Mathematical Theory Of Dynamic Materials PDF Download
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| Author | : Konstantin A. Lurie |
| Publisher | : Springer |
| Total Pages | : 287 |
| Release | : 2017-10-17 |
| Genre | : Mathematics |
| ISBN | : 3319653466 |
Download An Introduction to the Mathematical Theory of Dynamic Materials Book in PDF, ePub and Kindle
This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.
| Author | : Konstantin A. Lurie |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2010-11-24 |
| Genre | : Mathematics |
| ISBN | : 9781441942593 |
Download An Introduction to the Mathematical Theory of Dynamic Materials Book in PDF, ePub and Kindle
This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.
| Author | : Konstantin A. Lurie |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 188 |
| Release | : 2007-05-15 |
| Genre | : Mathematics |
| ISBN | : 0387382801 |
Download An Introduction to the Mathematical Theory of Dynamic Materials Book in PDF, ePub and Kindle
This fascinating book is a treatise on real space-age materials. It is a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes.
| Author | : Raymond David Mindlin |
| Publisher | : World Scientific |
| Total Pages | : 211 |
| Release | : 2006 |
| Genre | : Technology & Engineering |
| ISBN | : 9812772499 |
Download An Introduction to the Mathematical Theory of Vibrations of Elastic Plates Book in PDF, ePub and Kindle
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices. Sample Chapter(s). Chapter 1: Elements of the Linear Theory of Elasticity (416 KB). Contents: Elements of the Linear Theory of Elasticity; Solutions of the Three-Dimensional Equations; Infinite Power Series of Two-Dimensional Equations; Zero-Order Approximation; First-Order Approximation; Intermediate Approximations. Readership: Researchers in mechanics, civil and mechanical engineering and applied mathematics.
| Author | : Iain W. Stewart |
| Publisher | : CRC Press |
| Total Pages | : 351 |
| Release | : 2004-06-29 |
| Genre | : Science |
| ISBN | : 0203646339 |
Download The Static and Dynamic Continuum Theory of Liquid Crystals Book in PDF, ePub and Kindle
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.
| Author | : Tian-You Fan |
| Publisher | : Springer |
| Total Pages | : 462 |
| Release | : 2016-09-20 |
| Genre | : Science |
| ISBN | : 9811019843 |
Download Mathematical Theory of Elasticity of Quasicrystals and Its Applications Book in PDF, ePub and Kindle
This interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science.
| Author | : Francesco dell'Isola |
| Publisher | : Springer |
| Total Pages | : 368 |
| Release | : 2018-02-27 |
| Genre | : Science |
| ISBN | : 3319736949 |
Download Advances in Mechanics of Microstructured Media and Structures Book in PDF, ePub and Kindle
This book is an homage to the pioneering works of E. Aero and G. Maugin in the area of analytical description of generalized continua. It presents a collection of contributions on micropolar, micromorphic and strain gradient media, media with internal variables, metamaterials, beam lattices, liquid crystals, and others. The main focus is on wave propagation, stability problems, homogenization, and relations between discrete and continuous models.
| Author | : Jerzy Zabczyk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 276 |
| Release | : 2008 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9780817647322 |
Download Mathematical Control Theory Book in PDF, ePub and Kindle
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
| Author | : Pablo Pedregal |
| Publisher | : Springer |
| Total Pages | : 139 |
| Release | : 2016-09-01 |
| Genre | : Mathematics |
| ISBN | : 3319411594 |
Download Optimal Design through the Sub-Relaxation Method Book in PDF, ePub and Kindle
This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book’s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography.
| Author | : Gennadi? Alekseevich Leonov |
| Publisher | : World Scientific |
| Total Pages | : 261 |
| Release | : 2010 |
| Genre | : Technology & Engineering |
| ISBN | : 9814282316 |
Download Dynamics and Control of Hybrid Mechanical Systems Book in PDF, ePub and Kindle
The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents. The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.
