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Author: Hai-Tao Cai Publisher: CRC Press ISBN: 1482287536 Category : Mathematics Languages : en Pages : 166
Book Description
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 problem
Author: Hai-Tao Cai Publisher: CRC Press ISBN: 1482287536 Category : Mathematics Languages : en Pages : 166
Book Description
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 problem
Author: Hai-Tao Cai Publisher: CRC Press ISBN: 9789056992422 Category : Mathematics Languages : en Pages : 170
Book Description
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.
Author: Richard B. Hetnarski Publisher: CRC Press ISBN: 143982889X Category : Mathematics Languages : en Pages : 837
Book Description
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
Author: N.I. Muskhelishvili Publisher: Springer Science & Business Media ISBN: 9401730342 Category : Technology & Engineering Languages : en Pages : 746
Book Description
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.
Author: Richa Hetnarski Publisher: CRC Press ISBN: 9780203502488 Category : Mathematics Languages : en Pages : 868
Book Description
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
Author: Tianyou Fan Publisher: Springer Science & Business Media ISBN: 3642146430 Category : Science Languages : en Pages : 367
Book Description
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.
Author: Hai-Tao Cai
Author: Hai-Tao Cai
Author: Hai-Tao Cai
Author: Richard B. Hetnarski
Author: Augustus Edward Hough Love
Author: N.I. Muskhelishvili
Author: 
Author: Richa Hetnarski
Author: Nikolaĭ Ivanovich Muskhelishvili
Author: Tianyou Fan
Author: Maurice Zaslawsky