Download or read book Coherent Structures in Granular Crystals written by Christopher Chong and published by Springer. This book was released on 2018-03-29 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions. The subject presents a blend of the appeal of granular crystals as a prototypical engineering tested for a variety of diverse applications, the novelty in the nonlinear physics of its coherent structures, and the tractability of a series of mathematical and computational techniques to analyse them. While the focus is on principal one-dimensional solutions such as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., in two dimensions, chains with defects, heterogeneous settings, and other recent developments are discussed. The emphasis on the subject was motivated by models in condensed matter physics, ferroelectrics, high energy physics, and statistical mechanics, leading to developments in mathematical analysis, numerical computation and insights on the physical aspects of the model. The book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians, physicists and engineers alike.
Download or read book Disordered Granular Crystals written by Alejandro Javier Martínez Ulloa and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evolution of Spontaneous Structures in Dissipative Continuous Systems written by Friedrich H. Busse and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.
Download or read book Granular Crystals written by Nicholas Sebastian Boechler and published by . This book was released on 2011 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Towards Understanding Nonlinear Wave Propagation in Three dimensional Microscale Granular Crystals written by Morgan Hiraiwa and published by . This book was released on 2020 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic waves and vibrations play central roles in numerous engineering fields and technologies such as impact mitigation, vibration isolation, ultrasonic imaging, and even electronic filtering components. Enhanced control over such dynamics has the potential to enhance existing applications or create entirely new technologies, with one avenue of such control being waveform manipulation using dispersion and nonlinearity. An attractive approach that has seen significant advancement recently is the field of phononic crystals and acoustic metamaterials, which use structure to tailor existing, and enable new, effective material properties. One such structure is the granular crystal, defined as ordered arrays of discrete elastic particles in contact, which supports dispersion tailoring in addition to nonlinearity resulting from the contact mechanics between the particles. This interplay between dispersion and nonlinearity has produced a large amount of research recently, however, it has mostly been limited to macroscale systems with millimeter to centimeter-sized spheres. Such macroscale systems have limited applicability to many engineering solutions with size and weight constraints. Using microscale spheres to create architectured material with enhanced functionality is a promising idea, however, the dynamic behavior can not be assumed to be identical to macroscale systems because different physics are expected to become important at small scales, the most consequential being adhesive forces. This work experimentally investigates whether three-dimensional microgranular crystals support nonlinear dynamics analogous to their macroscale counterparts, which is currently an open question. Key elements known to allow wave tailoring in macroscale systems are studied individually before building up to direct analysis of nonlinear dynamics in three-dimensional microgranular crystals. First, a two-dimensional microgranular crystal monolayer adhered to a substrate is utilized to investigate, within linear dynamical regimes, interparticle vibrational modes and horizontal-rotational degrees of freedom, both known to affect propagation in three-dimensional systems. Using this experimental design, horizontal-rotational interparticle modes were observed, and described by a recently developed unified theory, for the first time in a microgranular crystal, with the key takeaway being that adhesive forces enhance the role of rotations and form interparticle networks that drastically alter the mode frequency. Next, the contact mechanics of a microsphere monolayer was studied with three different methods of estimating the adhesive force and compared by assuming an elastic contact mechanics model. This unique comparison found the measurements varied widely, suggesting adhesion-induced plasticity may play a major role for polymer microspheres. Subsequently, the behavior of a disordered three-dimensional assembly of microspheres was explored by controlling static and dynamic loading amplitudes, which directly reveal the nonlinear nature of the contact and the weakly nonlinear dynamics that result from it. It was discovered that the nonlinear behavior was drastically different from macroscale counterparts initially, however, the behavior was approximately similar after mechanical conditioning. Lastly, strongly nonlinear dynamics of an ordered three-dimensional microscale granular crystal was investigated in a preliminary study by characterizing the dependence of sound speed on acoustic wave amplitude and found to behave approximately similar to macroscale systems, though additional data is needed for a rigorous analysis. This finding bodes well for translating the promise of macroscale granular crystals to the microscale. The work contained in this thesis lays out a path to exploring even more complex microgranular crystal dynamics.
Download or read book Acoustic Metamaterials and Phononic Crystals written by Pierre A. Deymier and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book presents all aspects of acoustic metamaterials and phononic crystals. The emphasis is on acoustic wave propagation phenomena at interfaces such as refraction, especially unusual refractive properties and negative refraction. A thorough discussion of the mechanisms leading to such refractive phenomena includes local resonances in metamaterials and scattering in phononic crystals.
Download or read book Granular Crystals written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, the freedom to choose the size, stiffness, and spatial distribution of macroscopic particles in a lattice makes granular crystals easily tailored building blocks for shock-absorbing materials, sound-focusing devices, acoustic switches, and other exotica.
Download or read book Crystals and Their Structures written by Arthur P. Cracknell and published by . This book was released on 1969 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Encyclopedia of Chemistry Practical and Theoretical By J C Booth Assisted by C Morfit written by James Curtis BOOTH and published by . This book was released on 1850 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Structures of Crystals written by A.M Glazer and published by CRC Press. This book was released on 1987-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The crystalline state is the most stable form of all solids and is very common in nature. This book discusses the structure of crystals and the ways in which they are described. The basic ideas of symmetry are introduced first. The lattice types which are possible are then examined and this leads to the fourteen Bravais lattices. There follows a careful treatment of the convolution operation and its applications to crystals and the calculation of Fourier transforms. These ideas allow crystal structure to be determined from the results of diffraction experiments. The effects of the thermal vibration of atoms and finite crystal size on these experiments is also explained. Throughout the text the emphasis is on understanding the results rather than on rigorous proofs.
Download or read book Optical Waves and Laser Beams in the Irregular Atmosphere written by Nathan Blaunstein and published by CRC Press. This book was released on 2017-09-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces optical wave propagation in the irregular turbulent atmosphere and the relations to laser beam and LIDAR applications for both optical communication and imaging. It examines atmosphere fundamentals, structure, and content. It explains specific situations occurring in the irregular atmosphere and for specific natural phenomena that affect optical ray and laser beam propagation. It emphasizes how to use LIDAR to investigate atmospheric phenomena and predict primary parameters of the irregular turbulent atmosphere and suggests what kinds of optical devices to operate in different atmospheric situations to minimize the deleterious effects of natural atmospheric phenomena.
Download or read book The Encyclopedia of Chemistry Practical and Theoretical written by James Curtis Booth and published by . This book was released on 1862 with total page 1054 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Dictionary of Chemistry and the Allied Branches of Other Sciences written by Henry Watts and published by . This book was released on 1854 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A System of Mineralogy written by James Dwight Dana and published by . This book was released on 1837 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A System of Mineralogy Comprising the Most Recent Discoveries written by Dana and published by . This book was released on 1844 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia Metropolitana Cohort Difflugia written by Edward Smedley and published by . This book was released on 1845 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:
