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Book Image Singularities of Green s Functions for Anisotropic Elastic Half Spaces and Bimaterials

Download or read book Image Singularities of Green s Functions for Anisotropic Elastic Half Spaces and Bimaterials written by T. C. T. Ting and published by . This book was released on 1992 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Stroh's formalism simple explicit expressions of Green's functions for anisotropic elastic half-spaces and bimaterials subject to line forces and line dislocations are presented. One of the novel features is that, knowing the Green's function for an infinite space, Green's functions for half-spaces and bimaterials can be written down immediately with very little derivation. The other novel feature is the physical interpretations of Green's functions. The Green's function for a half-space consists of ten Green's functions for the infinite space. One of the ten Green's functions has its singularities located in the half-space where they are prescribed. The other nine represent image singularities which are located outside of the half-space not occupied by the material. The locations of the nine image singularities as well as the nature of the singularities are presented explicitly. For bimaterials which consists of two anisotropic half-spaces bonded together, there are nine image singularities each for the two materials. Again the locations and the nature of the singularities are presented explicitly. We also suggest graphical solutions for finding the locations of these singularities. Since the Green's function for an infinite space has a real form solution this implies that Green's functions for half-spaces and bimaterials can have a real form solution.

Book Static Green s Functions in Anisotropic Media

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 Green s Function and Boundary Elements of Multifield Materials

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

Book Anisotropic Elasticity

    Book Details:
  • Author : Thomas Chi-tsai Ting
  • Publisher : Oxford University Press, USA
  • Release : 1996
  • ISBN : 0195074475
  • Pages : 591 pages

Download or read book Anisotropic Elasticity written by Thomas Chi-tsai Ting and published by Oxford University Press, USA. This book was released on 1996 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity is a property of materials which returns them to their original shape after forces applied to change the shape have been removed. This advanced text explores the problems of composite or anisotropic materials and their elasticity.

Book Anisotropic Elasticity

    Book Details:
  • Author : Thomas C. T. Ting
  • Publisher : Oxford University Press
  • Release : 1996-02-15
  • ISBN : 0198023847
  • Pages : 592 pages

Download or read book Anisotropic Elasticity written by Thomas C. T. Ting and published by Oxford University Press. This book was released on 1996-02-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

Book Micromechanics

Download or read book Micromechanics written by S. Nemat-Nasser and published by Elsevier. This book was released on 2013-10-22 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview is given in this book towards a fundamental understanding of the micromechanics of the overall response and failure modes of advanced materials, such as ceramics and ceramic and other composites. These advanced materials have become the focus of systematic and extensive research in recent times. The book consists of two parts. The first part reviews solids with microdefects such as cavities, cracks, and inclusions, as well as elastic composites. To render the book self-contained, the second part focuses on the fundamentals of continuum mechanics, particularly linear elasticity which forms the basis for the development of small deformation micromechanics. In Part 1, a fundamental and general framework for quantitative, rigorous analysis of the overall response and failure modes of microstructurally heterogeneous solids is systematically developed. These expressions apply to broad classes of materials with inhomogeneities and defects. While for the most part, the general framework is set within linear elasticity, the results directly translate to heterogeneous solids with rate-dependent or rate-independent inelastic constituents. This application is specifically referred to in various chapters. The general exact correlations obtained between the overall properties and the microstructure are then used together with simple models, to develop techniques for direct quantitative evaluation of the overall response which is generally described in terms of instantaneous overall moduli or compliance. The correlations among the corresponding results for a variety of problems are examined in great detail. The bounds as well as the specific results, include new observations and original developments, as well as an in-depth account of the state of the art. Part 2 focuses on Elasticity. The section on variational methods includes some new elements which should prove useful for application to advanced modeling, as well as solutions of composites and related heterogeneous bodies. A brief modern version of elements in vector and tensor algebra is provided which is particularly tailored to provide a background for the rest of this book. The data contained in this volume as Part 1 includes new results on many basic issues in micromechanics, which will be helpful to graduate students and researchers involved with rigorous physically-based modeling of overall properties of heterogeneous solids.

Book Mechanics of Electromagnetic Materials and Structures

Download or read book Mechanics of Electromagnetic Materials and Structures written by J. S. Yang and published by IOS Press. This book was released on 2000 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the Symposium on the Mechanics of Electromagnetic Materials and Structures of the 1999 ASME Summer Meeting in Blacksburg, Virginia, USA. Topics covered include continuum modelling of deformable electromagnetic materials, magnetoelasticity and electroelasticity. Experimental, computational, and theoretical results are presented. The Symposium and the book are enriched by the participation of contributors from industries and presentations related to device applications.

Book Acta Mechanica Solida Sinica

Download or read book Acta Mechanica Solida Sinica written by and published by . This book was released on 1996 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Acta Mechanica Sinica

Download or read book Acta Mechanica Sinica written by and published by . This book was released on 1992 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Government Reports Announcements   Index

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1996-02 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Aerospace Abstracts

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1992 with total page 1246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Fracture Mechanics of Piezoelectric Materials

Download or read book Fracture Mechanics of Piezoelectric Materials written by Qing-Hua Qin and published by Witpress. This book was released on 2001 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with the aim of encouraging further development of the fracture mechanics of coupled thermo-electro-elastic problems, this monograph examines crack problems in piezoelectric materials. Emphasis is placed on fundamental concepts, the development of mathematical models and their computational solutions. The methods are described and derived in a way which makes them more accessible to postgraduate students, research scientists and engineers.

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1992 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal of Tribology

Download or read book Journal of Tribology written by and published by . This book was released on 2008 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Engineering Index Annual

Download or read book The Engineering Index Annual written by and published by . This book was released on 1992 with total page 2264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its creation in 1884, Engineering Index has covered virtually every major engineering innovation from around the world. It serves as the historical record of virtually every major engineering innovation of the 20th century. Recent content is a vital resource for current awareness, new production information, technological forecasting and competitive intelligence. The world?s most comprehensive interdisciplinary engineering database, Engineering Index contains over 10.7 million records. Each year, over 500,000 new abstracts are added from over 5,000 scholarly journals, trade magazines, and conference proceedings. Coverage spans over 175 engineering disciplines from over 80 countries. Updated weekly.