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Author : Ian Naismith Sneddon
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (41 download)
Download or read book Crack Problems in the Classical Theory of Elasticity written by Ian Naismith Sneddon and published by John Wiley & Sons. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin H. Sadd
Publisher : Elsevier
ISBN 13 : 008047747X
Total Pages : 474 pages
Book Rating : 4.0/5 (84 download)
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
Author : Ian Naismith Sneddon
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
Download or read book Crack Problems in the Classical Theory of Elasticity written by Ian Naismith Sneddon and published by John Wiley & Sons. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George C. Sih
Publisher : Springer Science & Business Media
ISBN 13 : 9401722609
Total Pages : 562 pages
Book Rating : 4.4/5 (17 download)
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.
Author : George C. Sih
Publisher : Springer Science & Business Media
ISBN 13 : 9789001798604
Total Pages : 578 pages
Book Rating : 4.7/5 (986 download)
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 1973-01-31 with total page 578 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.
Author : Yoichi Sumi
Publisher : Springer
ISBN 13 : 4431549358
Total Pages : 285 pages
Book Rating : 4.4/5 (315 download)
Download or read book Mathematical and Computational Analyses of Cracking Formation written by Yoichi Sumi and published by Springer. This book was released on 2014-06-11 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : V.D. Kupradze
Publisher : Elsevier
ISBN 13 : 0080984630
Total Pages : 951 pages
Book Rating : 4.0/5 (89 download)
Download or read book Three-Dimensional Problems of Elasticity and Thermoelasticity written by V.D. Kupradze and published by Elsevier. This book was released on 2012-12-02 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Gerard A Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 9400763530
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)
Download or read book Continuum Mechanics Through the Twentieth Century written by Gerard A Maugin and published by Springer Science & Business Media. This book was released on 2013-04-08 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : M.J. Pindera
Publisher : Springer Science & Business Media
ISBN 13 : 9400961987
Total Pages : 363 pages
Book Rating : 4.4/5 (9 download)
Download or read book Modelling Problems in Crack Tip Mechanics written by M.J. Pindera and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : ASTM International
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4./5 ( download)
Download or read book Elastic-plastic Fracture: Second Symposium, Volume I- Inelastic Crack Analysis written by and published by ASTM International. This book was released on 1983 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (26 download)
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Agust Gudmundsson
Publisher : Cambridge University Press
ISBN 13 : 1139500694
Total Pages : 593 pages
Book Rating : 4.1/5 (395 download)
Download or read book Rock Fractures in Geological Processes written by Agust Gudmundsson and published by Cambridge University Press. This book was released on 2011-04-28 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rock fractures control many of Earth's dynamic processes, including plate-boundary development, tectonic earthquakes, volcanic eruptions, and fluid transport in the crust. An understanding of rock fractures is also essential for effective exploitation of natural resources such as ground water, geothermal water, and petroleum. This book combines results from fracture mechanics, materials science, rock mechanics, structural geology, hydrogeology, and fluid mechanics to explore and explain fracture processes and fluid transport in the crust. Basic concepts are developed from first principles and illustrated with worked examples linking models of geological processes to real field observations and measurements. Many additional examples and exercises are provided online, allowing readers to practise formulating and quantitative testing of models. Rock Fractures in Geological Processes is designed for courses at the advanced undergraduate and graduate level but also forms a vital resource for researchers and industry professionals concerned with fractures and fluid transport in the Earth's crust.
Author : ASTM Committee E-24 on Fracture Testing
Publisher : ASTM International
ISBN 13 : 9780803102088
Total Pages : 761 pages
Book Rating : 4.1/5 (2 download)
Download or read book Fracture Mechanics written by ASTM Committee E-24 on Fracture Testing and published by ASTM International. This book was released on 1984 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Youping Chen
Publisher : Springer Science & Business Media
ISBN 13 : 0387307362
Total Pages : 211 pages
Book Rating : 4.3/5 (873 download)
Download or read book Meshless Methods in Solid Mechanics written by Youping Chen and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
Author : Chyanbin Hwu
Publisher : Springer Science & Business Media
ISBN 13 : 1441959157
Total Pages : 678 pages
Book Rating : 4.4/5 (419 download)
Download or read book Anisotropic Elastic Plates written by Chyanbin Hwu and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.
Author : Heinrich Begehr
Publisher : Springer Science & Business Media
ISBN 13 : 1461332915
Total Pages : 331 pages
Book Rating : 4.4/5 (613 download)
Download or read book Complex Methods for Partial Differential Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and Tech nical Research Council of Turkey and the Middle East Technical University. This workshop is a continuation oftwo workshops from 1988 and 1993 at the In ternational Centre for Theoretical Physics in Trieste, Italy entitled Functional analytic Methods in Complex Analysis and Applications to Partial Differential Equations. Since classical complex analysis of one and several variables has a long tra dition it is of high level. But most of its basic problems are solved nowadays so that within the last few decades it has lost more and more attention. The area of complex and functional analytic methods in partial differential equations, however, is still a growing and flourishing field, in particular as these methods are not only applied. Whithin the framework of holomorphic functions but are also combined with properties of generalized analytic functions. This can be seen by the many books which recently were published in this field and also by the proceedings in this ISAAC series and the ISAAC congresses and workshops.
Author : John M. Golden
Publisher : Springer Science & Business Media
ISBN 13 : 3662061562
Total Pages : 276 pages
Book Rating : 4.6/5 (62 download)
Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).
