Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity PDF Download
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Author: Attila Askar
Publisher: World Scientific
ISBN: 9814518956
Category :
Languages : en
Pages : 208
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Book Description
This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.
Author: Attila Askar
Publisher: World Scientific
ISBN: 9814518956
Category :
Languages : en
Pages : 208
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Book Description
This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.
Author: Juan De Vicente
Publisher: BoD – Books on Demand
ISBN: 9535108417
Category : Science
Languages : en
Pages : 374
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Book Description
This book contains a wealth of useful information on current research on viscoelasticity. By covering a broad variety of rheology, non-Newtonian fluid mechanics and viscoelasticity-related topics, this book is addressed to a wide spectrum of academic and applied researchers and scientists but it could also prove useful to industry specialists. The subject areas include, theory, simulations, biological materials and food products among others.
Author: Igor V. Andrianov
Publisher: CRC Press
ISBN: 1000372219
Category : Technology & Engineering
Languages : en
Pages : 322
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Book Description
This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
Author: Esin Inan
Publisher: World Scientific
ISBN: 9814544221
Category : Science
Languages : en
Pages : 872
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Book Description
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.
Author: Noel Challamel
Publisher: John Wiley & Sons
ISBN: 1119831873
Category : Science
Languages : en
Pages : 306
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Book Description
This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Author: Arkadi Berezovski
Publisher: Springer Nature
ISBN: 3030299511
Category : Mathematics
Languages : en
Pages : 396
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Book Description
This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Author: Nuri Akkas
Publisher: Springer Science & Business Media
ISBN: 3642789757
Category : Science
Languages : en
Pages : 582
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Book Description
The NATO Advanced Study Institute on Biomechanics of Active Movement and Division of Cells was held September 19-29, 1993 in Istanbul and the Proceedings are presented in this volume. Sixty-eight scientists from sixteen countries attended. Prof. J. Bereiter-Hahn of Goethe-Universitat, Frankfurt, Germany, Prof. A.K. Harris of the University of North Carolina, Chapel Hill, USA, Prof. R.M. Nerem of Georgia Institute of Technology, Atlanta, USA and Prof. R. Skalak of the University of California, San Diego, USA were the members of the International Organizing Committee. As the Scientific Director of the Institute, I wish to express my sincere appreciation for their assistance without which the Institute could not have taken place. This Institute is the third one of the meetings which are now called "the NATO Istanbul Meetings on Cytomechanics". The first one was the NATO Advanced Research Workshop on Biomechanics of Cell Division which was held October 12-17, 1986 in Istanbul. The Proceedings were published as NATO ASI Series A Life Sciences Vol. 132 by Plenum Press in 1987. The second one was the NATO Advanced Study Institute on Biomechanics of Active Movement and Deformation of Cells which was held September 3-13, 1989 in Istanbul. The Proceedings were published as NATO ASI Series H : Cell Biology Vol. 42 by Springer-Verlag in 1990.
Author: Chien Ming Wang
Publisher: World Scientific
ISBN: 1786348004
Category : Technology & Engineering
Languages : en
Pages : 307
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Book Description
As an emerging discrete structural model, the Hencky bar-chain/net model (HBM) has shown its advantages over other numerical methods in some problems. Owing to the discrete properties of HBM, it is also a suitable model for nano-scale structures which are currently a very hot research topic in mechanics.This book introduces the concepts and previous research of the Hencky bar-chain/net model, before demonstrating how beams, columns, arches, rectangular plates and circular plates could be successfully modelled by HBM. HBM comprises rigid bars connected by frictionless hinges with elastic rotational springs (and a system of torsional springs in the cells for plates). In the treatment of the above-mentioned structures, HBM is found to be mathematically equivalent to the first order central finite difference method (FDM). So HBM may be regarded as the physical structural model behind the FDM.This book is a compilation of the authors' research on the development of the Hencky bar-chain/net model, and is organized according to the development and application of HBM for beams, columns, frames, arches and rings, and plates. Exercises are provided at the end of each chapter to aid comprehension and guide learning. It is a useful reference for students, researchers, academics and practitioners in the field of structural analysis.
Author: Gérard A. Maugin
Publisher:
ISBN: 9780582055919
Category : Science
Languages : en
Pages : 390
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Book Description
This volume of Continuum Models and Discrete Systems contains the text of many shorter contributions presented at the sixth CMDS conference. As with earlier symposia in the series, the purpose of the symposium was to bring together internationally renowned researchers concerned with various aspects of continuum modelling of discrete systems.
Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 786
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Book Description
