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Book On the Singular Stress Field at the Interface of Bimaterial Systems

Download or read book On the Singular Stress Field at the Interface of Bimaterial Systems written by Mingan Tan and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse square root, 1/r, singularity characterizes the stress field at the crack tip of homogeneous isotropic elastic media. This 1/r singularity does not, however, hold for the stress field at the interface of a bimaterial system. A number of attempts have been made to treat this class of problems. These attempts reveal the presence of rapid oscillations in the stress and displacement fields and the dependence of the stress singularities upon the geometry and the elastic mismatch of the bimaterial system. These features complicate the determination of the singular stress field significantly. As a result, existing solutions are limited to a few specific configurations and simple loading conditions. It is, therefore, the objective of this thesis to develop a unified approach for treating general bimaterial systems. For this purpose, the bimaterial system is modeled as a bimaterial wedge, thus facilitating the simulation of a wide range of inhomogeneous solids--such as, layered composite materials, coated components and welded structures. Both theoretical and experimental techniques are employed to examine the current problem and the resulting singular stress field. The current boundary value problem is formulated in terms of the complex function method. By examining the resultant eigenequation of the system, the dependence of the stress singularities upon wedge geometry and elastic properties of the constituents is revealed and explicit expressions for the stress and displacement fields around the wedge vertex are obtained. These expressions are then used to develop a new singular finite element. This element enables the determination of the singular stress field and the associated stress intensity factors reliably and efficiently. Both quasi-static and dynamic stress intensity factors are obtained explicitly. To establish the validity of the newly developed method, a number of test cases are examined and compared with existing simplified solutions. The newly proposed method is then used to evaluate the effect of the wedge geometry, elastic mismatch, density ratio and loading conditions upon the resulting stress intensity factors. In the experimental work, a digital photoelastic technique is employed to examine the singular stress field around the vertex of a photoelastic bimaterial wedge. A special casting procedure is introduced to produce bimaterial photoelastic specimens with varied geometries. To determine the stress intensity factors reliably from the resulting isochromatic fringe patterns, a high order representation of the stress field around the vertex is used and a multi-parameter analysis method is developed. The experimental results are compared with the theoretical findings and the results reveal a good agreement between them.

Book On the Singular Stress Field at the Interface of Bimaterial Systems

Download or read book On the Singular Stress Field at the Interface of Bimaterial Systems written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book On the Singular Stress Field at the Interface of Bimaterial Systems  microform

Download or read book On the Singular Stress Field at the Interface of Bimaterial Systems microform written by Mingan Tan and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1998 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Some Basic Problems of the Mathematical Theory of Elasticity

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 1977-04-30 with total page 774 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.

Book Thin Films and Coatings

Download or read book Thin Films and Coatings written by Sam Zhang and published by CRC Press. This book was released on 2015-07-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin Films and Coatings: Toughening and Toughness Characterization captures the latest developments in the toughening of hard coatings and in the measurement of the toughness of thin films and coatings. Featuring chapters contributed by experts from Australia, China, Czech Republic, Poland, Singapore, Spain, and the United Kingdom, this book: Presents the current status of hard-yet-tough ceramic coatings Reviews various toughness evaluation methods for films and hard coatings Explores the toughness and toughening mechanisms of porous thin films and laser-treated surfaces Examines adhesions of the film/substrate interface and the characterization of coating adhesion strength Discusses nanoindentation determination of fracture toughness, resistance to cracking, and sliding contact fracture phenomena Toughening and toughness measurement (of films and coatings) are two related, yet separate, fields of great importance in today’s nanotechnology world. Thin Films and Coatings: Toughening and Toughness Characterization is a timely reference written in such a way that novices will find it a stepping stone to the field and veterans will find it a rich source of information for their research.

Book Mechanics of Solid Interfaces

Download or read book Mechanics of Solid Interfaces written by Muriel Braccini and published by John Wiley & Sons. This book was released on 2013-05-21 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing occurrence of heterogeneous materials such as composites or coated substrates in structural parts makes it necessary for designers and scientists to deal with the specific features of the mechanical behavior of solid interfaces. This book introduces basic concepts on mechanical problems related to the presence of solid/solid interfaces and their practical applications. The various topics discussed here are the mechanical characterization of interfaces, the initiation and growth of cracks along interfaces, the origin and control of interface adhesion, focusing in particular on thin films on substrate systems. It is designed and structured to provide a solid background in the mechanics of heterogeneous materials to help students in materials science, as well as scientists and engineers.

Book Asymptotic Fields for Cracks Terminating at Bi material Interface with Arbitrary Angles

Download or read book Asymptotic Fields for Cracks Terminating at Bi material Interface with Arbitrary Angles written by Xiao Liu and published by . This book was released on 2015 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The bi-material crack problem is an interesting and important topic in the field of fracture mechanics. The existing mainstream solutions, either analytical or computational, are commonly focused on some specific cases, e.g., a crack lying on exactly the bonded border of dissimilar materials, or a crack impinging upon a bi-material interface at a right angle. However, little attention is paid to the general cases, i.e., cracks approaching or attacking the material divided border arbitrarily, which is more likely to happen in the engineering products. With any possibility of the crack's incidence angle, the asymmetric nature of the geometry and the materials property induces more difficulties in the mathematical formulation of the crack-tip stress field. The conventional analytical methods may not be a convenient way for the derivation, especially of the fracture parameters. For this end, in this study, the Williams' expansion method is exploited to investigate the two-dimensional/three-dimensional fracture problem in which the crack terminates at a biomaterial interface with an arbitrary angle of incidence. The characteristic equation is obtained and solved to investigate the distribution of dominant roots. Mathematically, a matrix-based system is developed, which can be easily used to formulate the general asymptotic solution of the singular stress and displacement fields surrounding the crack-tip. The theory of singularities is introduced to represent the mixed-mode nature of the solution for the arbitrarily-oriented crack. This concept is further employed for the cases with complex singularities. After that, the relationship of the asymptotic field and the linear elastic fracture parameters is established directly through a linear system. In addition, taking advantage of the enriched element approach, the derived formulation in this study is programmed and implemented in a finite element analysis. This provides an efficient and effective method for simulating and solving different types of crack problems, especially with complicated geometries, loading patterns and material combinations. Then different mixed-mode fracture criteria for predicting the direction of crack growth are introduced. With the method discussed in this study, the maximum circumferential stress criterion is considered to be the most appropriate one, but needs to be slightly modified for multiple material problems. Finally, some examples of numerical solution of the asymptotic fields are demonstrated using the computed stress intensity factors and the developed matrix system for the general crack cases with an arbitrary impinging angle with respect to an interface. The numerical results for specific cases are compared with the existing references.

Book Stress States Near Bi material Interfaces

Download or read book Stress States Near Bi material Interfaces written by Mirng-Ji Lii and published by . This book was released on 1989 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Cracks in composite materials

Download or read book Cracks in composite materials written by George C. Sih and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites offer great promise as light weight and strong materials for high performance structures. One of the major advantages of these materials as compared with metals is the basic way in which heterogeneity resist crack extension. In a fiber/matrix composite system, the fibers tend to cause cracks to form at closer spacing and delay the formation of a large crack. The enhancement of local failure such as fiber breaking, matrix cracking and interface debonding further reduces the energy level which might have otherwise reached the point of catastrophic failure. Even though substantial tests have been made on composite materials, little has been gained in the understanding and development of a predic tive procedure for composite failure. There are fundamental difficulties associated with incorporating the nonhomogeneous and anisotropic prop erties of the composite into the continuum mechanics analysis. Additional uncertainties arise from voids and defects that are introduced in the composite during manufacturing. Even a small quantity of mechanical imperfections can cause a marked influence on the composite strength. Moreover, the interface properties between the fibers and matrix or bonded laminae can also affect the load transmission characteristics significantly. It would be impossible to establish predictive procedures for composite failure unless realistic guidelines could be developed to control the manufacturing quality of composite systems.

Book Fracture Mechanics  Applications and Challenges

Download or read book Fracture Mechanics Applications and Challenges written by M. Fuentes and published by Elsevier. This book was released on 2000-09-13 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 15 fully peer-reviewed Invited Papers which were presented at the 13th Biennial European Conference on Fracture and is a companion to the CD-ROM http://www.elsevier.com/locate/isbn/008043701xProceedings. The organisers of the ECF 13 opted from the very beginning for an application-orientated conference, and consequently, this book contributes to the understanding of fracture phenomena, and disseminates fracture concepts and their application to the solution of engineering problems to practitioners in a wide range of fields. The fields covered in this book can be broadly classified into: elastic-plastic fracture mechanics, fracture dynamics, fatigue and interactive processes, failure, structural integrity, coatings and materials, with applications to the following industrial sectors: transport, aerospace engineering, civil engineering, pipelines and automotive engineering.

Book Stress Concentration at Notches

Download or read book Stress Concentration at Notches written by Mykhaylo P. Savruk and published by Springer. This book was released on 2016-09-27 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles solutions of linear theory of elasticity problems for isotropic and anisotropic bodies with sharp and rounded notches. It contains an overview of established and recent achievements, and presents the authors’ original solutions in the field considered with extensive discussion. The volume demonstrates through numerous, useful examples the effectiveness of singular integral equations for obtaining exact solutions of boundary problems of the theory of elasticity for bodies with cracks and notches. Incorporating analytical and numerical solutions of the problems of stress concentrations in solid bodies with crack-like defects, this volume is ideal for scientists and PhD students dealing with the problems of theory of elasticity and fracture mechanics.

Book Metal Ceramic Interfaces

Download or read book Metal Ceramic Interfaces written by M. Rühle and published by Elsevier. This book was released on 2013-10-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: As engineering materials and structures often contain a metal or metallic alloy bonded to a ceramic, the resultant interface must be able to sustain mechanical forces without failure. They also play an important role in oxidation or reduction of materials. The workshop on 'Bonding, Structure and Mechanical Properties of Metal/Ceramic Interfaces' was held in January 1989 within the Acta/Scripta Metallurgica conference series. It drew together an international collection of 70 scientists who discussed a wide range of issues related to metal-ceramic interfaces. The sessions were divided into 7 categories: structure and bonding, chemistry at interfaces, formation of interfaces, structure of interfaces, thermodynamics/atomistics of interface fracture, mechanics of interface cracks, and fracture resistance of bimaterial interfaces. Within these headings attention was paid to grain boundaries, the influence of chemical processes on the behaviour of interfaces, diffusion bonding, characterization of fracture, and crack propagation by fatigue and by stress corrosion. The book presents a useful reference source for materials scientists, physicists, chemists, and mechanical engineers who are concerned with the roles and properties of interfaces.

Book Mechanics of Microelectronics

Download or read book Mechanics of Microelectronics written by G.Q. Zhang and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written by leading experts with both profound knowledge and rich practical experience in advanced mechanics and the microelectronics industry essential for current and future development. It aims to provide the cutting edge knowledge and solutions for various mechanical related problems, in a systematic way. It contains important and detailed information about the state-of-the-art theories, methodologies, the way of working and real case studies.

Book Fracture Mechanics of Concrete Structures

Download or read book Fracture Mechanics of Concrete Structures written by Z.P. Bazant and published by CRC Press. This book was released on 2003-10-04 with total page 1022 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference is the first in a series of conferences dedicated to Fracture Mechanics of Concrete Structures. Due to the recent explosion of interest in research on fracture in concrete, the conference has brought together the world's leading researchers in fracture of concrete and this book contains the proceedings.

Book Adhesion Science and Engineering

Download or read book Adhesion Science and Engineering written by and published by Elsevier. This book was released on 2002-11-14 with total page 2020 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mechanics of Adhesion shows that adhesion science and technology is inherently an interdisciplinary field, requiring fundamental understanding of mechanics, surfaces, and materials. This volume comprises 19 chapters. Starting with a background and introduction to stress transfer principles; fracture mechanics and singularities; and an energy approach to debonding, the volume continues with analysis of structural lap and butt joint configurations. It then continues with discussions of test methods for strength and constitutive properties; fracture; peel; coatings, the case of adhesion to a single substrate; elastomeric adhesives such as sealants. The role of mechanics in determining the locus of failure in bonded joints is discussed, followed by a chapter on rheology relevant to adhesives and sealants. Pressure sensitive adhesive performance; the principles of tack and tack measurements; and contact mechanics relevant to wetting and surface energy measurements are then covered. The volume concludes with sections on fibermatrix bonding and reinforcement; durability considerations for adhesive bonds; ultrasonic non-destructive evaluation of adhesive bonds; and design of adhesive bonds from a strength perspective. This book will be of interest to practitioners in the fields of engineering and to those with an interest in adhesion science.

Book Adhesion in Microelectronics

Download or read book Adhesion in Microelectronics written by K. L. Mittal and published by John Wiley & Sons. This book was released on 2014-08-25 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book will provide both fundamental and applied aspects of adhesion pertaining to microelectronics in a single and easily accessible source. Among the topics to be covered include; Various theories or mechanisms of adhesion Surface (physical or chemical) characterization of materials as it pertains to adhesion Surface cleaning as it pertains to adhesion Ways to improve adhesion Unraveling of interfacial interactions using an array of pertinent techniques Characterization of interfaces / interphases Polymer-polymer adhesion Metal-polymer adhesion (metallized polymers) Polymer adhesion to various substrates Adhesion of thin films Adhesion of underfills Adhesion of molding compounds Adhesion of different dielectric materials Delamination and reliability issues in packaged devices Interface mechanics and crack propagation Adhesion measurement of thin films and coatings

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: