Download or read book Mathematical Theory in Periodic Plane Elasticity written by Hai-Tao Cai and published by CRC Press. This book was released on 2014-04-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed.
Download or read book Mathematical Theory in Periodic Plane Elasticity written by Hai-Tao Cai and published by CRC Press. This book was released on 2000-07-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed.
Download or read book The Mathematical Theory of Elasticity written by Richard B. Hetnarski and published by CRC Press. This book was released on 2016-04-19 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates add
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.
Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1927 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Mathematical Theory of Elasticity written by and published by CUP Archive. This book was released on with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theory of Elasticity written by Richa Hetnarski and published by CRC Press. This book was released on 2003-12-16 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present Mathematical Theory of Elasticity and its applications to a wide range of readers, including graduate students and researchers in modern theory of continuum mechanics. The book provides classical results on elasticity as well as the new findings of classical type obtained in recent years by various researchers
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by Nikolaĭ Ivanovich Muskhelishvili and published by . This book was released on 1953 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theory of Elasticity written by Ivan Stephen Sokolnikoff and published by . This book was released on 1946 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tianyou Fan and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.
Download or read book Plane Stress Problems in the Mathematical Theory of Elasticity written by Maurice Zaslawsky and published by . This book was released on 1965 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1892 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elasticity and Plasticity written by J. N. Goodier and published by Courier Dover Publications. This book was released on 2016-04-21 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprising two classic essays by experts on the mathematical theories of elasticity and plasticity, this volume is noteworthy for its contributions by Russian authors and others previously unrecognized in Western literature. 1958 edition.
Download or read book Complex Variable Methods in Plane Elasticity written by Jian-Ke Lu and published by World Scientific. This book was released on 1995 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals systematically with the mathematical theory of plane elasto-statics by using complex variable methods, together with many results originated by the author. The problems considered are reduced to integral equations, Fredholem or singular, which are rigorously proved to be uniquely solvable. Particular attention is paid to the subjects of crack problems in the quite general case, especially those of composite media, which are solved by a unified method. The methods used in this book are constructive so that they may be used in practice.
Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by Nikolaĭ Ivanovich Muskhelishvili and published by . This book was released on 1977 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
