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Static Greens Functions In Anisotropic Media
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Book Synopsis Static Green's Functions in Anisotropic Media by : Ernian Pan
Download or read book Static Green's Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory on static Green's functions in anisotropic magnetoelectroelastic media and their detailed derivations via different methods.
Book Synopsis Static Green's Functions in Anisotropic Media by : Ernian Pan
Download or read book Static Green's Functions in Anisotropic Media written by Ernian Pan and published by Cambridge University Press. This book was released on 2015-04-30 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Book Synopsis Numerical Implementation of Elastodynamic Green's Function for Anisotropic Media by : Samaneh Fooladi
Download or read book Numerical Implementation of Elastodynamic Green's Function for Anisotropic Media written by Samaneh Fooladi and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Displacement Green's function is the building block for some semi-analytical methods like Boundary Element Method (BEM), Distributed Point Source Method (DPCM), etc. In this thesis, the displacement Greeǹs function in anisotropic media due to a time harmonic point force is studied. Unlike the isotropic media, the Green's function in anisotropic media does not have a closed form solution. The dynamic Green's function for an anisotropic medium can be written as a summation of singular and non-singular or regular parts. The singular part, being similar to the result of static Green's function, is in the form of an integral over an oblique circular path in 3D. This integral can be evaluated either by a numerical integration technique or can be converted to a summation of algebraic terms via the calculus of residue. The other part, which is the regular part, is in the form of an integral over the surface of a unit sphere. This integral needs to be evaluated numerically and its evaluation is considerably more time consuming than the singular part. Obtaining dynamic Green's function and its spatial derivatives involves calculation of these two types of integrals. The spatial derivatives of Green's function are important in calculating quantities like stress and stain tensors. The contribution of this thesis can be divided into two parts. In the first part, different integration techniques including Gauss Quadrature, Simpson's, Chebyshev, and Lebedev integration techniques are tried out and compared for evaluation of dynamic Green’s function. In addition the solution from the residue theorem is included for the singular part. The accuracy and performance of numerical implementation is studied in detail via different numerical examples. Convergence plots are used to analyze the numerical error for both Green's function and its derivatives. The second part of contribution of this thesis relates to the mathematical derivations. As mentioned above, the regular part of dynamic Green's function, being an integral over the surface of a unit sphere, is responsible for the majority of computational time. From symmetry properties, this integration domain can be reduced to a hemisphere, but no more simplification seems to be possible for a general anisotropic medium. In this thesis, the integration domain for regular part is further reduced to a quarter of a sphere for the particular case of transversely isotropic material. This reduction proposed for the first time in this thesis nearly halves the number of integration points for the evaluation of regular part of dynamic Green's function. It significantly reduces the computational time.
Book Synopsis Dynamics, Strength of Materials and Durability in Multiscale Mechanics by : Francesco dell'Isola
Download or read book Dynamics, Strength of Materials and Durability in Multiscale Mechanics written by Francesco dell'Isola and published by Springer Nature. This book was released on 2020-11-01 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the mathematical modeling and experimental study of systems involving two or more different length scales. The effects of phenomena occurring at the lower length scales on the behavior at higher scales are of intrinsic scientific interest, but can also be very effectively used to determine the behavior at higher length scales or at the macro-level. Efforts to exploit this micro- and macro-coupling are, naturally, being pursued with regard to every aspect of mechanical phenomena. This book focuses on the changes imposed on the dynamics, strength of materials and durability of mechanical systems by related multiscale phenomena. In particular, it addresses: 1: the impacts of effective dissipation due to kinetic energy trapped at lower scales 2: wave propagation in generalized continua 3: nonlinear phenomena in metamaterials 4: the formalization of more general models to describe the exotic behavior of meta-materials 5: the design and study of microstructures aimed at increasing the toughness and durability of novel materials
Book Synopsis Special Topics in the Theory of Piezoelectricity by : Jiashi Yang
Download or read book Special Topics in the Theory of Piezoelectricity written by Jiashi Yang and published by Springer Science & Business Media. This book was released on 2010-06-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. The book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances and new applications in piezoelectricity.
Book Synopsis Green's Functions for an Anisotropic Medium: Part 1. Unbounded Case by :
Download or read book Green's Functions for an Anisotropic Medium: Part 1. Unbounded Case written by and published by . This book was released on 1993 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dyadic Green's Function (DGF) for layered anisotropic media is essential for the electromagnetic field analysis of several problems. With the goal of deriving the DGF of a two-layer biaxially anisotropic medium we derive in this report the DGF of a corresponding unbounded problem. Using the Fourier transform method, an auxiliary dyadic Green's (ADGF) is first derived. The DGF is then obtained by performing a simple linear transformation on the ADGF. It is expressed in a compact dyadic form in terms of two characteristic waves, viz., the a-wave and the b-wave. Some features of the DGF are discussed by comparing our results with those of a corresponding uniaxial problem. Green's function, Electromagnetic waves, Anisotropic medium.
Book Synopsis Modeling, Characterization, and Production of Nanomaterials by : Vinod Tewary
Download or read book Modeling, Characterization, and Production of Nanomaterials written by Vinod Tewary and published by Woodhead Publishing. This book was released on 2022-11-09 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nano-scale materials have unique electronic, optical, and chemical properties that make them attractive for a new generation of devices. In the second edition of Modeling, Characterization, and Production of Nanomaterials: Electronics, Photonics, and Energy Applications, leading experts review the latest advances in research in the understanding, prediction, and methods of production of current and emerging nanomaterials for key applications. The chapters in the first half of the book cover applications of different modeling techniques, such as Green’s function-based multiscale modeling and density functional theory, to simulate nanomaterials and their structures, properties, and devices. The chapters in the second half describe the characterization of nanomaterials using advanced material characterization techniques, such as high-resolution electron microscopy, near-field scanning microwave microscopy, confocal micro-Raman spectroscopy, thermal analysis of nanoparticles, and applications of nanomaterials in areas such as electronics, solar energy, catalysis, and sensing. The second edition includes emerging relevant nanomaterials, applications, and updated modeling and characterization techniques and new understanding of nanomaterials. Covers the close connection between modeling and experimental methods for studying a wide range of nanomaterials and nanostructures Focuses on practical applications and industry needs through a solid outlining of the theoretical background Includes emerging nanomaterials and their applications in spintronics and sensing
Book Synopsis Statics and Influence Functions - from a Modern Perspective by : Friedel Hartmann
Download or read book Statics and Influence Functions - from a Modern Perspective written by Friedel Hartmann and published by Springer. This book was released on 2017-03-04 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book teaches engineers many new things about a classical topic which suddenly is again in the center of interest because of its relevance for finite element analysis, for the accuracy of computational methods. It shows that influence functions play a fundamental role in the finite element analysis of structures and practically all of linear computational mechanics. It also strives to add new and important insights into modern structural analysis and into computational mechanics by establishing the central role of influence functions for the numerical analysis and to lay a new foundation to the energy and variational principles.
Book Synopsis Nonlinear Solid Mechanics by : Davide Bigoni
Download or read book Nonlinear Solid Mechanics written by Davide Bigoni and published by Cambridge University Press. This book was released on 2012-07-30 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.
Book Synopsis Static and Transient Green's Functions for Diffusion in Anisotropic Bimaterials by : Jennifer L. Skilowitz
Download or read book Static and Transient Green's Functions for Diffusion in Anisotropic Bimaterials written by Jennifer L. Skilowitz and published by . This book was released on 1998 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 2002 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings A publishes refereed research papers in the mathematical, physical, and engineering sciences. The emphasis is on new, emerging areas of interdisciplinary and multidisciplinary research." Continues: Proceedings. Mathematical and physical sciences.
Book Synopsis Mechanics Down Under by : James P. Denier
Download or read book Mechanics Down Under written by James P. Denier and published by Springer Science & Business Media. This book was released on 2013-11-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 22nd International Congress of Theoretical and Applied Mechanics (ICTAM) of the International Union of Theoretical and Applied Mechanics was hosted by the Australasian mechanics community in the city of Adelaide during the last week of August 2008. Over 1200 delegates met to discuss the latest development in the fields of theoretical and applied mechanics. This volume records the events of the congress and contains selected papers from the sectional lectures and invited lectures presented at the congresses six mini-symposia.
Book Synopsis Derivation of Green's Functions for Planarly Layered Anisotropic Media by : Saffet Gökçen Şen
Download or read book Derivation of Green's Functions for Planarly Layered Anisotropic Media written by Saffet Gökçen Şen and published by . This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis XV International Scientific Conference “INTERAGROMASH 2022” by : Alexey Beskopylny
Download or read book XV International Scientific Conference “INTERAGROMASH 2022” written by Alexey Beskopylny and published by Springer Nature. This book was released on 2023-02-24 with total page 3148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains proceedings of the XV International Scientific Conference INTERAGROMASH 2022, Rostov-on-Don, Russia. This conference is dedicated to the innovations in the field of precision agriculture, robotics and machines, as well as agriculture biotechnologies and soil management. It is a collection of original and fundamental research in such areas as follows: unmanned aerial systems, satellite-based applications, proximal and remote sensing of soil and crop, positioning systems, geostatistics, mapping and spatial data analysis, robotics, and automation. Potential and prospects for the use of hydrogen in agriculture, for example, in high-performance tractors with hybrid electric transmission, are disclosed in the research works of scientists from all over the world. It also includes such topics as precision horticulture, precision crop protection, differential harvest, precision livestock farming, controlling environment in animal husbandry, and other topics. One of the important issues raised in the book is to ensure the autonomy of local farms. The topic of the impact of the agro-industrial sector on the environment also received wide coverage. Ways to reduce the burden on the environment are proposed, and the use of alternative fuels and fertilizers is suggested. The research results presented in this book cover the experience and the latest studies on the sustainable functioning of agribusiness in several climatic zones. The tundra and taiga, forest-steppe, the steppe and semi-desert—all this is a unique and incredibly demanded bank of information, the main value of which is the real experience of the functioning of agribusiness in difficult climatic and geographic conditions. These materials are of interest for professionals and practitioners, for researchers, scholars, and producers. They are used in the educational process at specific agricultural universities or during vocational training at enterprises and also become an indispensable helper to farm managers in making the best agronomic decisions.
Book Synopsis Green's Function and Boundary Elements of Multifield Materials by : Qing-Hua Qin
Download or read book Green's Function and Boundary Elements of Multifield Materials written by Qing-Hua Qin and published by Elsevier. This book was released on 2010-07-07 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Green's Function and Boundary Elements of Multifield Materials contains a comprehensive treatment of multifield materials under coupled thermal, magnetic, electric, and mechanical loads. Its easy-to-understand text clarifies some of the most advanced techniques for deriving Green's function and the related boundary element formulation of magnetoelectroelastic materials: Radon transform, potential function approach, Fourier transform. Our hope in preparing this book is to attract interested readers and researchers to a new field that continues to provide fascinating and technologically important challenges. You will benefit from the authors' thorough coverage of general principles for each topic, followed by detailed mathematical derivation and worked examples as well as tables and figures where appropriate. In-depth explanations of the concept of Green's function Coupled thermo-magneto-electro-elastic analysis Detailed mathematical derivation for Green's functions
Author :IEEE Antennas and Propagation Society. International Symposium Publisher :IEEE Standards Office ISBN 13 :9780780363700 Total Pages :744 pages Book Rating :4.3/5 (637 download)
Book Synopsis 2000 IEEE Antennas and Propagation Society International Symposium by : IEEE Antennas and Propagation Society. International Symposium
Download or read book 2000 IEEE Antennas and Propagation Society International Symposium written by IEEE Antennas and Propagation Society. International Symposium and published by IEEE Standards Office. This book was released on 2000 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Green's Functions for an Anisotropic Medium. Part 2. Two-Layer Case by :
Download or read book Green's Functions for an Anisotropic Medium. Part 2. Two-Layer Case written by and published by . This book was released on 1993 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dyadic Green's Functions (DGF) of a two-layer biaxially anisotropic medium are derived. The principal coordinate system of the anisotropic medium is allowed to have arbitrary orientation with respect to the layer geometry. The formulation is based on the unbounded Dyadic Green's Function derived in Part I of the sequel. Using the matrix method the coefficients of the two-layer DGF are expressed in terms of half-space Fresnel reflection and transmission coefficients. To complete this procedure the various relevant half-space Fresnel coefficients are derived. The form in which the results are presented has a physically meaningful and compact structure. A numerical example is provided where we have computed the reflectivities.
