Crack Problems in the Classical Theory of Elasticity PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Crack Problems in the Classical Theory of Elasticity PDF full book. Access full book title Crack Problems in the Classical Theory of Elasticity by Ian Naismith Sneddon. Download full books in PDF and EPUB format.
Author: Ian Naismith Sneddon
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Author: Ian Naismith Sneddon
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0080922414
Category : Technology & Engineering
Languages : en
Pages : 553
Get Book Here
Book Description
Approx.552 pagesApprox.552 pages
Author: Ian Naismith Sneddon
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Author: George C. Sih
Publisher: Springer Science & Business Media
ISBN: 9401722609
Category : Science
Languages : en
Pages : 562
Get Book Here
Book Description
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.
Author: V.D. Kupradze
Publisher: Elsevier
ISBN: 0080984630
Category : Science
Languages : en
Pages : 951
Get Book Here
Book Description
North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
Author: Yoichi Sumi
Publisher: Springer
ISBN: 4431549358
Category : Science
Languages : en
Pages : 285
Get Book Here
Book Description
This book is about the pattern formation and the evolution of crack propagation in engineering materials and structures, bridging mathematical analyses of cracks based on singular integral equations, to computational simulation of engineering design. The first two parts of this book focus on elasticity and fracture and provide the basis for discussions on fracture morphology and its numerical simulation, which may lead to a simulation-based fracture control in engineering structures. Several design concepts are discussed for the prevention of fatigue and fracture in engineering structures, including safe-life design, fail-safe design, damage tolerant design. After starting with basic elasticity and fracture theories in parts one and two, this book focuses on the fracture morphology that develops due to the propagation of brittle cracks or fatigue cracks. In part three, the mathematical analysis of a curved crack is precisely described, based on the perturbation method. The stability theory of interactive cracks propagating in brittle solids may help readers to understand the formation of a fractal-like cracking patterns in brittle solids, while the stability theory of crack paths helps to identify the straight versus sharply curved or sometimes wavy crack paths observed in brittle solids. In part four, the numerical simulation method of a system of multiple cracks is introduced by means of the finite element method, which may be used for the better implementation of fracture control in engineering structures. This book is part of a series on “Mathematics for Industry” and will appeal to structural engineers seeking to understand the basic backgrounds of analyses, but also to mathematicians with an interest in how such mathematical solutions are evaluated in industrial applications.
Author: George C. Sih
Publisher: Springer Science & Business Media
ISBN: 9789001798604
Category : Science
Languages : en
Pages : 578
Get Book Here
Book Description
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.
Author: M.J. Pindera
Publisher: Springer Science & Business Media
ISBN: 9400961987
Category : Science
Languages : en
Pages : 363
Get Book Here
Book Description
The general objective of the Tenth Canadian Fracture Conference was to respond to progress in the engineering sciences - in particular with r- pect to rapidly developing new trends in the theory and methodology of researcr and designing - and to the resulting needs of practical engineering in the specific field of fracture mechanics and related areas of engineering mechanics. The basic underlying issue is the theory and practice of physical analytical and iconic (reduced) modelling of the actually involved physical processes and of the responses of physical bodies and systems to actual energy flow - a problem which is becoming dominant in all fields of the natural sciences. Accordingly, the theme of the CFCIO was "Modelling Problems in Crack Tip Mechanics", a well defined and limited subject, the scope of treatment of which can be as deep and as comprehensive as an in volved researcher wishes it to be.
Author: Gerard A Maugin
Publisher: Springer Science & Business Media
ISBN: 9400763530
Category : Science
Languages : en
Pages : 321
Get Book Here
Book Description
This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.
Author: George C. Sih
Publisher: Springer Science & Business Media
ISBN: 940101292X
Category : Science
Languages : en
Pages : 344
Get Book Here
Book Description
This third volume of a series on Mechanies of Fraeture deals with eraeks in plates and shelIs. It was noted in Volume 2 on three-dimensional eraek problems that additional free surfaees can lead to substantial mathematical complexities, often making the analysis unmanageable. The theory of plates and shelIs forms a part of the theory of elasticity in which eertain physieal assumptions are made on the basis that the distanee between two bounded surfaees, either fiat or eurved, is small in eomparison with the overall dimen sions of the body. In modern times, the broad and frequent applieations of plate- and shell-like struetural members have aeted as a stimulus to whieh engineers and researchers in the field of fracture meehanies have responded with a wide variety of solutions of teehnieal importanee. These eontributions are covered in this book so that the reader may gain an understanding of how analytieal treat me nt s ofplates and shells containing initial imperfeetions in the form of eraeks are earried out. The development of plate and shell theories has involved long standing controversy on the eonsisteney of omitting eertain small terms and at the same time retaining others of the same order of magnitude. This defieieney depends on the ratio of the plate or shell thiekness, h, to other eharaeteristie dimensions and eannot be eompletely resolved in view of the approximations inherent in the transverse dependence of the extensional and bending stresses.
