elasticity and geometry from hair curls to the non linear response of shells

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Elasticity And Geometry

Author : Basile Audoly
ISBN : 9780198506256
Genre : Mathematics
File Size : 83. 50 MB
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We experience elasticity everywhere in everyday life: straightening or curling of hairs, irreversible deformations of car bodies after a crash, bouncing of elastic balls (ping-pong, soccer), etc. In the technological domain, many bulk materials are coated with thin layers that may be subject to delamination, another complex process where elasticity is important. This book covers several modern aspects of the venerable field of elasticity theory. This book appliesgeneral methods of classical analysis including advanced nonlinear aspects to derive detailed, fully explicit solutions to specific problems. These theoretical concepts are discussed in connection withexperiments. The matter is self-contained; the prerequisites are calculus at the undergraduate level. This book can serve as a concrete introduction to nonlinear methods in science.

Elasticity And Geometry From Hair Curls To The Nonlinear Response Of Shells

Author : CTI Reviews
ISBN : 9781467205795
Genre : Education
File Size : 87. 99 MB
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Facts101 is your complete guide to Elasticity and Geometry, From hair curls to the nonlinear response of shells. In this book, you will learn topics such as Mechanics of the human hair, Rippled leaves, uncoiled springs, The equations for elastic plates, and End effects in plate buckling plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Fluid Structure Interactions In Low Reynolds Number Flows

Author : Howard A Stone
ISBN : 9781782628491
Genre : Technology & Engineering
File Size : 74. 28 MB
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Fluid-structure interactions have been well studied over the years but most of the focus has been on high Reynolds number flows, inertially dominated flows where the drag force from the fluid typically varies as the square of the local fluid speed. There are though a large number of fluid-structure interaction problems at low values of the Reynolds number, where the fluid effects are dominated by viscosity and the drag force from the fluid typically varies linearly with the local fluid speed, which are applicable to many current research areas including hydrodynamics, microfluidics and hemodynamics. Edited by experts in complex fluids, Fluid-Structure Interactions in Low-Reynolds-Number Flows is the first book to bring together topics on this subject including elasticity of beams, flow in tubes, mechanical instabilities induced by complex liquids drying, blood flow, theoretical models for low-Reynolds number locomotion and capsules in flow. The book includes introductory chapters highlighting important background ideas about low Reynolds number flows and elasticity to make the subject matter more approachable to those new to the area across engineering, physics, chemistry and biology.

The Mechanics Of Ribbons And M Bius Bands

Author : Roger Fosdick
ISBN : 9789401773003
Genre : Technology & Engineering
File Size : 37. 1 MB
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Recent developments in biology and nanotechnology have stimulated a rapidly growing interest in the mechanics of thin, flexible ribbons and Mobius bands. This edited volume contains English translations of four seminal papers on this topic, all originally written in German; of these, Michael A. Sadowsky published the first in 1929, followed by two others in 1930, and Walter Wunderlich published the last in 1962. The volume also contains invited, peer-reviewed, original research articles on related topics. Previously published in the Journal of Elasticity, Volume 119, Issue 1-2, 2015.

Advances In Architectural Geometry 2016

Author : Sigrid Adriaenssens
ISBN : 9783728137777
Genre : Architectural design
File Size : 21. 1 MB
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The Advances in Architectural Geometry (AAG) symposia serve as a unique forum where developments in the design, analysis and fabrication of building geometry are presented. With participation of both academics and professionals, each symposium aims to gather and present practical work and theoretical research that responds to contemporary design challenges and expands the opportunities for architectural form. The fifth edition of the AAG symposia was hosted by the National Centre for Competence in Research Digital Fabrication at ETH Zurich, Switzerland, in September 2016. This book contains the proceedings from the AAG2016 conference and offers detailed insight into current and novel geometrical developments in architecture. The 22 diverse, peer-reviewed papers present cutting-edge innovations in the fields of mathematics, computer graphics, software design, structural engineering, and the design and construction of architecture.

Practical Applied Mathematics

Author : Sam Howison
ISBN : 0521842743
Genre : Mathematics
File Size : 68. 54 MB
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Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them.

Chemomechanical Instabilities In Responsive Materials

Author : Pierre Borckmans
ISBN : 9789048129911
Genre : Science
File Size : 35. 87 MB
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The present volume includes most of the material of the invited lectures delivered at the NATO Advanced Study Institute “Morphogenesis through the interplay of nonlinear chemical instabilities and elastic active media” held from 2th to 14th July 2007 at the Institut d’Etudes Scientifiques de Cargèse (http://www.iesc.univ-corse.fr/), in Corsica (France). This traditional place to organize Summer Schools and Workshops in a well equipped secluded location at the border of the Mediterranean sea has, over many years now, earned an increasing deserved reputation. Non-linear dynamics of non equilibrium systems has worked its way into a great number of fields and plays a key role in the understanding of se- organization and emergence phenomena in domains as diverse as chemical reactors, laser physics, fluid dynamics, electronic devices and biological morphogenesis. In the latter case, the viscoelastic properties of tissues are also known to play a key role. The control and formulation of soft responsive or “smart” materials has been a fast growing field of material science, specially in the area of po- mer networks, due to their growing applications in bio-science, chemical sensors, intelligent microfluidic devices, ... . Nature is an important p- vider of active materials whether at the level of tissues or at that of s- cellular structures. As a consequence, the fundamental understanding of the physical mechanisms at play in responsive materials also shines light in the understanding of biological artefacts.

Modeling Nonlinear Problems In The Mechanics Of Strings And Rods

Author : Oliver M. O'Reilly
ISBN : 9783319505985
Genre : Mathematics
File Size : 86. 16 MB
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This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.

Applied Solid Mechanics

Author : Peter Howell
ISBN : 9780521854894
Genre : Mathematics
File Size : 53. 91 MB
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Emphasises the power of mathematics to provide quantitative insights across the whole area of solid mechanics; accessible and comprehensive.

Conjuring The Universe

Author : Peter Atkins
ISBN : 9780198813378
Genre : Science
File Size : 68. 65 MB
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The marvellous complexity of the Universe emerges from several deep laws and a handful of fundamental constants that fix its shape, scale, and destiny. There is a deep structure to the world which at the same time is simple, elegant, and beautiful. Where did these laws and these constants come from? And why are the laws so fruitful when written in the language of mathematics? Peter Atkins considers the minimum effort needed to equip the Universe with its laws and its constants. He explores the origin of the conservation of energy, of electromagnetism, of classical and quantum mechanics, and of thermodynamics, showing how all these laws spring from deep symmetries. The revolutionary result is a short but immensely rich weaving together of the fundamental ideas of physics. With his characteristic wit, erudition, and economy, Atkins sketches out how the laws of Nature can spring from very little. Or arguably from nothing at all.

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