Quasibrittle Fracture Mechanics And Size Effect

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Quasibrittle Fracture Mechanics and Size Effect

Author : Zdenek P. Bažant
Publisher : Oxford University Press
ISBN 13 : 0192661388
Total Pages : 320 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Quasibrittle Fracture Mechanics and Size Effect by : Zdenek P. Bažant

Download or read book Quasibrittle Fracture Mechanics and Size Effect written by Zdenek P. Bažant and published by Oxford University Press. This book was released on 2021-11-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many modern engineering structures are composed of brittle heterogenous, or quasibrittle, materials. These include concrete, composites, tough ceramics, rocks, cold asphalt mixtures, and many brittle materials at the microscale. Understanding the failure behavior of these materials is of paramount importance for improving the resilience and sustainability of various engineering structures including civil infrastructure, aircraft, ships, military armors, and microelectronic devices. Designed for graduate and upper-level undergraduate university courses, this textbook provides a comprehensive treatment of quasibrittle fracture mechanics. It includes a concise but rigorous examination of linear elastic fracture mechanics, which is the foundation of all fracture mechanics. It also covers the fundamental concepts of nonlinear fracture mechanics, and introduces more advanced concepts such as triaxial stress state in the fracture process zone, nonlocal continuum models, and discrete computational models. Finally, the book features extensive discussion of the various practical applications of quasibrittle fracture mechanics across different structures and engineering disciplines, and throughout includes exercises and problems for students to test their understanding.

Fracture and Size Effect in Concrete and Other Quasibrittle Materials

Author : Zdenek P. Bazant
Publisher : Routledge
ISBN 13 : 1351447297
Total Pages : 640 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Fracture and Size Effect in Concrete and Other Quasibrittle Materials by : Zdenek P. Bazant

Download or read book Fracture and Size Effect in Concrete and Other Quasibrittle Materials written by Zdenek P. Bazant and published by Routledge. This book was released on 2019-03-04 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture and Size Effect in Concrete and Other Quasibrittle Materials is the first in-depth text on the application of fracture mechanics to the analysis of failure in concrete structures. The book synthesizes a vast number of recent research results in the literature to provide a comprehensive treatment of the topic that does not give merely the facts - it provides true understanding. The many recent results on quasibrittle fracture and size effect, which were scattered throughout many periodicals, are compiled here in a single volume. This book presents a well-rounded discussion of the theory of size effect and scaling of failure loads in structures. The size effect, which is the most important practical manifestation of fracture behavior, has become a hot topic. It has gained prominence in current research on concrete and quasibrittle materials. The treatment of every subject in Fracture and Size Effect in Concrete and Other Quasibrittle Materials proceeds from simple to complex, from specialized to general, and is as concise as possible using the simplest level of mathematics necessary to treat the subject clearly and accurately. Whether you are an engineering student or a practicing engineer, this book provides you with a clear presentation, including full derivations and examples, from which you can gain real understanding of fracture and size effect in concrete and other quasibrittle materials.

Probabilistic Mechanics of Quasibrittle Structures

Author : Zdenek P. Bazant
Publisher : Cambridge University Press
ISBN 13 : 1107151708
Total Pages : 319 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Probabilistic Mechanics of Quasibrittle Structures by : Zdenek P. Bazant

Probabilistic Size Effect in Fracture Mechanics of Quasibrittle Materials

Author : Sze-Dai Pang
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (663 download)

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Book Synopsis Probabilistic Size Effect in Fracture Mechanics of Quasibrittle Materials by : Sze-Dai Pang

Download or read book Probabilistic Size Effect in Fracture Mechanics of Quasibrittle Materials written by Sze-Dai Pang and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistics of safety factors and structural reliability has so far been generally regarded as independent of mechanics, but further progress requires the cumulative distribution function (cdf) of structural strength to be derived from the thermomechanics of bond breaks. The cdf of strength of quasibrittle structures of positive geometry is modelled as series coupling of representative volume elements (RVE), each of which is statistically represented by a hierarchical model, connecting to the nano-scale of atomic lattice. Based on Maxwell-Boltzmann distribution of thermal energies of atoms, the cdf of strength of a nano-scale connection is deduced from the stress dependence of the interatomic activation energy barriers, and is expressed as a function of absolute temperature and stress-duration (or loading rate). The power-law tail exponent, which is 1 on the atomistic scale, is raised by the hierarchical statistical model to exponent m = 10 to 50, representing the Weibull modulus on the structural scale. Its physical meaning is shown to be the minimum number of cuts needed to separate the hierarchical model into two separate parts, which should be equal to the number of dominant cracks needed to break the RVE, governed by the packing of inhomogeneities. On the RVE scale, the model yields a broad Gaussian core, onto which a short power-law tail of exponent m is grafted. The model predicts how the grafted cdf depends on T and t* and provides a physical proof that, on a large enough scale, quasibrittle structures must follow Weibull distribution with a zero threshold. Experimental histograms with kinks, which were previously thought to require the use of a finite threshold, are shown to be fitted much better by the present chain-of-RVEs model. For not too small structures, the model is also shown to be essentially a discrete equivalent of the previously developed nonlocal Weibull theory. The theory indicates the need to refine the reliability indices and identify the common errors in applying Weibull statistical theory to scatter and size effect of quasibrittle structures. Stochastic finite element method is proposed to conduct computer simulations of extreme value statistics, crucial for safe design of structures.

Probabilistic Mechanics of Quasibrittle Structures

Author : Zdenek P. Bazant
Publisher : Cambridge University Press
ISBN 13 : 1108132774
Total Pages : 319 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Probabilistic Mechanics of Quasibrittle Structures by : Zdenek P. Bazant

Download or read book Probabilistic Mechanics of Quasibrittle Structures written by Zdenek P. Bazant and published by Cambridge University Press. This book was released on 2017-05-25 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasibrittle (or brittle heterogeneous) materials are becoming increasingly important for modern engineering. They include concretes, rocks, fiber composites, tough ceramics, sea ice, bone, wood, stiff soils, rigid foams, glass, dental and biomaterials, as well as all brittle materials on the micro or nano scale. Their salient feature is that the fracture process zone size is non-negligible compared to the structural dimensions. This causes intricate energetic and statistical size effects and leads to size-dependent probability distribution of strength, transitional between Gaussian and Weibullian. The ensuing difficult challenges for safe design are vanquished in this book, which features a rigorous theory with detailed derivations yet no superfluous mathematical sophistication; extensive experimental verifications; and realistic approximations for design. A wide range of subjects is covered, including probabilistic fracture kinetics at nanoscale, multiscale transition, statistics of structural strength and lifetime, size effect, reliability indices, safety factors, and ramification to gate dielectrics breakdown.

Scaling of Structural Strength

Author : Zdenek P. Bazant
Publisher : Elsevier
ISBN 13 : 0080461352
Total Pages : 342 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Scaling of Structural Strength by : Zdenek P. Bazant

Download or read book Scaling of Structural Strength written by Zdenek P. Bazant and published by Elsevier. This book was released on 2005-06-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with a leading-edge topic of great interest and importance, exemplifying the relationship between experimental research, material modeling, structural analysis and design. It focuses on the effect of structure size on structural strength and failure behaviour. Bazant's theory has found wide application to all quasibrittle materials, including rocks, ice, modern fiber composites and tough ceramics. The topic of energetic scaling, considered controversial until recently, is finally getting the attention it deserves, mainly as a result of Bazant's pioneering work. In this new edition an extra section of data and new appendices covering twelve new application developments are included. The first book to show the 'size effect' theory of structure size on strength Presents the principles and applications of Bazant's pioneering work on structural strength Revised edition with new material on topics including asymptotic matching, flexural strength of fiber-composite laminates, polymeric foam fractures and the design of reinforced concrete beams

The Theory of Critical Distances

Author : David Taylor
Publisher : Elsevier
ISBN 13 : 0080554725
Total Pages : 307 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis The Theory of Critical Distances by : David Taylor

Download or read book The Theory of Critical Distances written by David Taylor and published by Elsevier. This book was released on 2010-07-07 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical distance methods are extremely useful for predicting fracture and fatigue in engineering components. They also represent an important development in the theory of fracture mechanics. Despite being in use for over fifty years in some fields, there has never been a book about these methods – until now. So why now? Because the increasing use of computer-aided stress analysis (by FEA and other techniques) has made these methods extremely easy to use in practical situations. This is turn has prompted researchers to re-examine the underlying theory with renewed interest. The Theory of Critical Distances begins with a general introduction to the phenomena of mechanical failure in materials: a basic understanding of solid mechanics and materials engineering is assumed, though appropriate introductory references are provided where necessary. After a simple explanation of how to use critical distance methods, and a more detailed exposition of the methods including their history and classification, the book continues by showing examples of how critical distance approaches can be applied to predict fracture and fatigue in different classes of materials. Subsequent chapters include some more complex theoretical areas, such as multiaxial loading and contact problems, and a range of practical examples using case studies of real engineering components taken from the author’s own consultancy work. The Theory of Critical Distances will be of interest to a range of readers, from academic researchers concerned with the theoretical basis of the subject, to industrial engineers who wish to incorporate the method into modern computer-aided design and analysis. Comprehensive collection of published data, plus new data from the author's own laboratories A simple 'how-to-do-it' exposition of the method, plus examples and case studies Detailed theoretical treatment Covers all classes of materials: metals, polymers, ceramics and composites Includes fracture, fatigue, fretting, size effects and multiaxial loading

Fracture and Damage in Quasibrittle Structures

Author : Z.P. Bazant
Publisher : CRC Press
ISBN 13 : 9780203223758
Total Pages : 672 pages
Book Rating : 4.2/5 (237 download)

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Book Synopsis Fracture and Damage in Quasibrittle Structures by : Z.P. Bazant

Download or read book Fracture and Damage in Quasibrittle Structures written by Z.P. Bazant and published by CRC Press. This book was released on 2004-01-14 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding of failure of quasibrittle materials is of paramount importance in many engineering fields. This subject has become a broad and important field of considerable mathematical complexity, with many competing models and unsolved problems. Attention in this volume focuses on concrete, rock, masonry, toughened ceramics, ice and other quasibrittle materials characterized by the development of large zones of cracking or other microstructural damage, and its localization into major fractures.

Concrete Fracture

Author : Jan G.M. van Mier
Publisher : CRC Press
ISBN 13 : 1466554703
Total Pages : 383 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Concrete Fracture by : Jan G.M. van Mier

Download or read book Concrete Fracture written by Jan G.M. van Mier and published by CRC Press. This book was released on 2012-10-25 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of fracture mechanics of concrete has developed in recent years to the point where it can be used for assessing the durability of concrete structures and for the development of new concrete materials. The last decade has seen a gradual shift of interest toward fracture studies at increasingly smaller sizes and scales. Concrete Fracture: A Multiscale Approach explores fracture properties of cement and concrete based on their actual material structure. Concrete is a complex hierarchical material, containing material structural elements spanning scales from the nano- to micro- and meso-level. Therefore, multi-scale approaches are essential for a better understanding of mechanical properties and fracture in particular. This volume includes various examples of fracture analyses at the micro- and meso-level. The book presents models accompanied by reliable experiments and explains how these experiments are performed. It also provides numerous examples of test methods and requirements for evaluating quasi-brittle materials. More importantly, it proposes a new modeling approach based on multiscale interaction potential and examines the related experimental challenges facing research engineers and building professionals. The book’s comprehensive coverage is poised to encourage new initiatives for overcoming the difficulties encountered when performing fracture experiments on cement at the micro-size/scale and smaller. The author demonstrates how the obtained results can fit into the larger picture of the material science of concrete—particularly the design of new high-performance concrete materials which can be put to good use in the development of efficient and durable structures.

Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics

Author : G. Baker
Publisher : CRC Press
ISBN 13 : 0203223454
Total Pages : 593 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics by : G. Baker

Download or read book Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics written by G. Baker and published by CRC Press. This book was released on 2004-01-14 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives from the invited IUTAM Symposium in September 1993. The contributions discuss recent advances in fracture mechanics studies of concrete, rock, ceramics and other brittle disordered materials at micro and structural levels. It draws together research and new applications in continuum, damage and fracture mechanics approaches.

Nonlinear Fracture Mechanics

Author : M.P. Wnuk
Publisher : Springer
ISBN 13 : 3709127580
Total Pages : 452 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Fracture Mechanics by : M.P. Wnuk

Download or read book Nonlinear Fracture Mechanics written by M.P. Wnuk and published by Springer. This book was released on 2014-05-04 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introducing Size Effect Into Design Practice and Codes for Concrete Infrastructure: Probabilistic size effect in fracture mechanics of quasibrittle materials

$Download Introducing Size Effect Into Design Practice and Codes for Concrete Infrastructure: Probabilistic size effect in fracture mechanics of quasibrittle materials PDF Online Free$

Author : Z. P. Bažant
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (671 download)

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Book Synopsis Introducing Size Effect Into Design Practice and Codes for Concrete Infrastructure: Probabilistic size effect in fracture mechanics of quasibrittle materials by : Z. P. Bažant

Download or read book Introducing Size Effect Into Design Practice and Codes for Concrete Infrastructure: Probabilistic size effect in fracture mechanics of quasibrittle materials written by Z. P. Bažant and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Toughening Mechanisms in Quasi-Brittle Materials

Author : S.P. Shah
Publisher : Springer Science & Business Media
ISBN 13 : 9401133883
Total Pages : 590 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Toughening Mechanisms in Quasi-Brittle Materials by : S.P. Shah

Download or read book Toughening Mechanisms in Quasi-Brittle Materials written by S.P. Shah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of ceramic materials has been recently shown to exhibit nonlinear stress strain behavior. These materials include transformation-toughened zirconia which undergoes a stress-induced crystallographic transformation in the vicinity of a propagating crack, microcracking ceramics, and ceramic-fiber reinforced ceramic matrices. Since many of these materials are under consideration for structural applications, understanding fracture in these quasi-brittle materials is essential. Portland cement concrete is a relatively brittle material. As a result mechanical behavior of concrete, conventionally reinforced concrete, prestressed concrete and fiber reinforced concrete is critically influenced by crack propagation. Crack propagation in concrete is characterized by a fracture process zone, microcracking, and aggregate bridging. Such phenomena give concrete toughening mechanisms, and as a result, the macroscopic response of concrete can be characterized as that of a quasi-brittle material. To design super high performance cement composites, it is essential to understand the complex fracture processes in concrete. A wide range of concern in design involves fracture in rock masses and rock structures. For example, prediction of the extension or initiation of fracture is important in: 1) the design of caverns (such as underground nuclear waste isolation) subjected to earthquake shaking or explosions, 2) the production of geothermal and petroleum energy, and 3) predicting and monitoring earthquakes. Depending upon the grain size and mineralogical composition, rock may also exhibit characteristics of quasi-brittle materials.

Scaling of Structural Strength

Author : Z. P. Bažant
Publisher : CRC Press
ISBN 13 : 9781560329848
Total Pages : 302 pages
Book Rating : 4.3/5 (298 download)

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Book Synopsis Scaling of Structural Strength by : Z. P. Bažant

Download or read book Scaling of Structural Strength written by Z. P. Bažant and published by CRC Press. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions of size effect and scaling on the integrity of structures have been around since at least the time of Leonardo da Vinci. Bazant (civil engineering and materials science, Northwestern U.) sketches the history of size effect studies before exploring size effect on fracture and crack mechanics in a number of materials. He explores applications of the known size effect law for the measurement of material fracture properties and the modeling of the size effect by the cohesive crack model, nonlocal finite element models, and discrete element models. Applications to quasibrittle materials, including concrete, fiber composites, sea ice, rocks, and ceramics are presented. The role of size effect in some famous structural catastrophes is then examined. Annotation copyrighted by Book News, Inc., Portland, OR.

Damage Mechanics

Author : George Z. Voyiadjis
Publisher : CRC Press
ISBN 13 : 1420027832
Total Pages : 275 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Damage Mechanics by : George Z. Voyiadjis

Download or read book Damage Mechanics written by George Z. Voyiadjis and published by CRC Press. This book was released on 2005-06-23 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before a structure or component can be completed, before any analytical model can be constructed, and even before the design can be formulated, you must have a fundamental understanding of damage behavior in order to produce a safe and effective design. Damage Mechanics presents the underlying principles of continuum damage mechanics along with the

Concrete Fracture Models and Applications

Author : Shailendra Kumar
Publisher : Springer Science & Business Media
ISBN 13 : 3642167640
Total Pages : 279 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Concrete Fracture Models and Applications by : Shailendra Kumar

Download or read book Concrete Fracture Models and Applications written by Shailendra Kumar and published by Springer Science & Business Media. This book was released on 2011-02-08 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cementitious materials, rocks and fibre-reinforced composites commonly termed as quasibrittle, need a different fracture mechanics approach to model the crack propagation study because of the presence of significant size of fracture process zone ahead of the crack-tip. Recent studies show that concrete structures manifest three important stages in fracture process: crack initiation, stable crack propagation and unstable fracture or failure. Fracture Mechanics concept can better explain the above various stages including the concepts of ductility, size-effect, strain softening and post-cracking behavior of concrete and concrete structures. The book presents a basic introduction on the various nonlinear concrete fracture models considering the respective fracture parameters. To this end, a thorough state-of-the-art review on various aspects of the material behavior and development of different concrete fracture models is presented. The development of cohesive crack model for standard test geometries using commonly used softening functions is shown and extensive studies on the behavior of cohesive crack fracture parameters are also carried out. The subsequent chapter contains the extensive study on the double-K and double-G fracture parameters in which some recent developments on the related fracture parameters are illustrated including introduction of weight function method to Double-K Fracture Model and formulization of size-effect behavior of the double-K fracture parameters. The application of weight function approach for determining of the KR-curve associated with cohesive stress distribution in the fracture process zone is also presented. Available test data are used to validate the new approach. Further, effect of specimen geometry, loading condition, size-effect and softening function on various fracture parameters is investigated. Towards the end, a comparative study between different fracture parameters obtained from various models is presented.

Fracture Mechanics of Concrete

Author : Surendra P. Shah
Publisher : John Wiley & Sons
ISBN 13 : 9780471303114
Total Pages : 588 pages
Book Rating : 4.3/5 (31 download)

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Book Synopsis Fracture Mechanics of Concrete by : Surendra P. Shah

Download or read book Fracture Mechanics of Concrete written by Surendra P. Shah and published by John Wiley & Sons. This book was released on 1995-09-28 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: FRACTURE MECHANICS OF CONCRETE AND ROCK This book offers engineers a unique opportunity to learn, frominternationally recognized leaders in their field, about the latesttheoretical advances in fracture mechanics in concrete, reinforcedconcrete structures, and rock. At the same time, it functions as asuperb, graduate-level introduction to fracture mechanics conceptsand analytical techniques. Reviews, in depth, the basic theory behind fracture mechanics * Covers the application of fracture mechanics to compressionfailure, creep, fatigue, torsion, and other advanced topics * Extremely well researched, applies experimental evidence ofdamage to a wide range of design cases * Supplies all relevant formulas for stress intensity * Covers state-of-the-art linear elastic fracture mechanics (LEFM)techniques for analyzing deformations and cracking * Describes nonlinear fracture mechanics (NLFM) and the latestRILEM modeling techniques for testing nonlinear quasi-brittlematerials * And much more Over the past few years, researchers employing techniques borrowedfrom fracture mechanics have made many groundbreaking discoveriesconcerning the causes and effects of cracking, damage, andfractures of plain and reinforced concrete structures and rock.This, in turn, has resulted in the further development andrefinement of fracture mechanics concepts and tools. Yet, despitethe field's growth and the growing conviction that fracturemechanics is indispensable to an understanding of material andstructural failure, there continues to be a surprising shortage oftextbooks and professional references on the subject. Written by two of the foremost names in the field, FractureMechanics of Concrete fills that gap. The most comprehensive bookever written on the subject, it consolidates the latest theoreticalresearch from around the world in a single reference that can beused by students and professionals alike. Fracture Mechanics of Concrete is divided into two sections. In thefirst, the authors lay the necessary groundwork with an in-depthreview of fundamental principles. In the second section, theauthors vividly demonstrate how fracture mechanics has beensuccessfully applied to failures occurring in a wide array ofdesign cases. Key topics covered in these sections include: * State-of-the-art linear elastic fracture mechanics (LEFM)techniques for analyzing deformations and cracking * Nonlinear fracture mechanics (NLFM) and the latest RILEM modelingtechniques for testing nonlinear quasi-brittle materials * The use of R-Curves to describe cracking and fracture inquasi-brittle materials * The application of fracture mechanics to compression failure,creep, fatigue, torsion, and other advanced topics The most timely, comprehensive, and authoritative book on thesubject currently available, Fracture Mechanics of Concrete is botha complete instructional tool for academics and students instructural and geotechnical engineering courses, and anindispensable working resource for practicing engineers.