Download or read book The Use of Complex Variable Theory in Several Areas of Plane Elasticity written by Charlton, Thomas Clifford and published by 1972.. This book was released on 1972 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Variable Methods in Elasticity written by A. H. England and published by Courier Corporation. This book was released on 2012-05-10 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plane strain and generalized plane stress boundary value problems of linear elasticity are discussed as well as functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, more. 1971 edition. Includes 26 figures.
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 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 Applied Mechanics Reviews written by and published by . This book was released on 1966 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamics in One Complex Variable written by John Willard Milnor and published by . This book was released on 1999 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Latts map has been made more inclusive, and the calle-Voronin theory of parabolic points is described. The rsidu itratif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.
Download or read book The Application of Complex Variable Theory to Problems in Elasticity written by Julius Clyde English and published by . This book was released on 1951 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamental Plane Static Problems of Theory of Elasticity written by Sergeĭ Mikhaĭlovich Belosonov and published by . This book was released on 1966 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book there is expounded a new general method of solution of plane static problems of theory of elasticity. Main attention is paid to investigation of influence of angular points of region. There are given recommendations relative to numerical solution of plane problems with use of electronic computers. The book is intended for scientists studying theory of elasticity and boundary-value problems of mathematical physics connected with application of integral equations and methods of theory of functions of a complex variable. (Author).
Download or read book Canadian Theses written by and published by . This book was released on 1972 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Antiplane Elastic Systems written by Louis M. Milne-Thomson and published by Springer. This book was released on 1962-01-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.
Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
Download or read book Elasticity written by Martin H. Sadd and published by Elsevier. This book was released on 2010-08-04 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. Contains exercises for student engagement as well as the integration and use of MATLAB Software Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Download or read book Mechanical Engineering News written by and published by . This book was released on 1964 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fracture Mechanics written by Surjya Kumar Maiti and published by Cambridge University Press. This book was released on 2015-10-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture mechanics studies the development and spreading of cracks in materials. The study uses two techniques including analytical and experimental solid mechanics. The former is used to determine the driving force on a crack and the latter is used to measure material's resistance to fracture. The text begins with a detailed discussion of fundamental concepts including linear elastic fracture mechanics (LEFM), yielding fracture mechanics, mixed mode fracture and computational aspects of linear elastic fracture mechanics. It explains important topics including Griffith theory of brittle crack propagation and its Irwin and Orowan modification, calculation of theoretical cohesive strength of materials through an atomic model and analytical determination of crack tip stress field. This book covers MATLAB programs for calculating fatigue life under variable amplitude cyclic loading. The experimental measurements of fracture toughness parameters KIC, JIC and crack opening displacement (COD) are provided in the last chapter.
Download or read book Singular Integral Equations written by N. I. Muskhelishvili and published by Courier Corporation. This book was released on 2013-02-19 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVHigh-level treatment of one-dimensional singular integral equations covers Holder Condition, Hilbert and Riemann-Hilbert problems, Dirichlet problem, more. 1953 edition. /div
Download or read book Elasticity written by Adel S. Saada and published by Elsevier. This book was released on 2013-10-22 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elasticity: Theory and Applications reviews the theory and applications of elasticity. The book is divided into three parts. The first part is concerned with the kinematics of continuous media; the second part focuses on the analysis of stress; and the third part considers the theory of elasticity and its applications to engineering problems. This book consists of 18 chapters; the first of which deals with the kinematics of continuous media. The basic definitions and the operations of matrix algebra are presented in the next chapter, followed by a discussion on the linear transformation of points. The study of finite and linear strains gradually introduces the reader to the tensor concept. Orthogonal curvilinear coordinates are examined in detail, along with the similarities between stress and strain. The chapters that follow cover torsion; the three-dimensional theory of linear elasticity and the requirements for the solution of elasticity problems; the method of potentials; and topics related to cylinders, disks, and spheres. This book also explores straight and curved beams; the semi-infinite elastic medium and some of its related problems; energy principles and variational methods; columns and beam-columns; and the bending of thin flat plates. The final chapter is devoted to the theory of thin shells, with emphasis on geometry and the relations between strain and displacement. This text is intended to give advanced undergraduate and graduate students sound foundations on which to build advanced courses such as mathematical elasticity, plasticity, plates and shells, and those branches of mechanics that require the analysis of strain and stress.
