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Quasibrittle Fracture Mechanics and Size Effect: A First Course [Kõva köide]

(Associate Professor, Department of Civil, Environmental, and Geo-Engineering, Univer), , (Distinguished McCormick Institute Professor and Walter P. Murphy Professor, Department of Material Sciences and Engineering Northwestern University)
  • Formaat: Hardback, 332 pages, kõrgus x laius x paksus: 252x174x23 mm, kaal: 776 g, 175 halftone and line art illustrations
  • Ilmumisaeg: 19-Nov-2021
  • Kirjastus: Oxford University Press
  • ISBN-10: 0192846248
  • ISBN-13: 9780192846242
  • Formaat: Hardback, 332 pages, kõrgus x laius x paksus: 252x174x23 mm, kaal: 776 g, 175 halftone and line art illustrations
  • Ilmumisaeg: 19-Nov-2021
  • Kirjastus: Oxford University Press
  • ISBN-10: 0192846248
  • ISBN-13: 9780192846242
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.

Arvustused

This is a very important and timely book, written by the leading authorities, on a topic of ever-increasing technological importance. * Roberto Ballarini, University of Houston *

1 Introduction
1(10)
1.1 Why Fracture Mechanics?
2(1)
1.2 Three Kinds of Fracture Mechanics
2(4)
1.3 Crack-Parallel Stresses and Tensorial Damage as Quasibrittle Fracture Basis
6(1)
1.4 Size Effect Type and Role of Material Randomness
6(2)
1.5 Applications of Size Effect in Structural Analysis and Design
8(3)
2 Fundamentals of Linear Elastic Fracture Mechanics
11(42)
2.1 Energy Release Rate and Fracture Energy
11(7)
2.2 General Form of Near-Tip and Far Fields of a Notch
18(2)
2.3 Stress Singularities and Energy Flux at a Sharp Crack Tip
20(2)
2.4 Westergaard's Solution for Crack in Infinite Body
22(3)
2.5 Stress Intensity Factor, Near-Tip Field, and Remote Field
25(2)
2.6 Fracture Modes I, II, and III
27(2)
2.7 Irwin's Relationship between Stress Intensity Factors and Energy Release Rate
29(2)
2.8 Rice's J-Integral
31(5)
2.9 Numerical Calculation of Stress Intensity Factors
36(2)
2.10 Stress Intensity Factors for Typical Simple Geometries
38(3)
2.11 Calculation of Elastic Compliance and Deflection from Stress Intensity Factors
41(3)
2.12 Bimaterial Interfacial Cracks
44(2)
2.13 Comments on Anisotropic Materials and Three-Dimensional Singularities
46(7)
3 Nonlinear Fracture Mechanics---Line Crack Idealization
53(31)
3.1 Types of Fracture Behavior and Nonlinear Zone
53(2)
3.2 Irwin's Estimate of the Size of the Inelastic Zone
55(1)
3.3 Estimation of FPZ Size for Quasibrittle Materials
56(4)
3.4 Equivalent Linear Elastic Crack Model
60(2)
3.5 R-Curves
62(8)
3.6 Cohesive Crack Model
70(7)
3.7 Integral Equations of Mode I Cohesive Crack Model
77(2)
3.8 Eigenvalue Analysis of Peak Load and Size Effect
79(5)
4 Nonlinear Fracture Mechanics---Diffuse Crack Model
84(28)
4.1 Why Crack Band?---Crack-Parallel Stress and Other Evidence
85(3)
4.2 Strain Localization, Mesh Sensitivity, and Localization Limiters
88(6)
4.3 Crack Band Model
94(10)
4.4 Nonlocal Integral and Gradient Models
104(6)
4.5 Discrete Computational Models
110(2)
5 Energetic Size Effect in Quasibrittle Fracture
112(28)
5.1 Nominal Structural Strength and Size Effect
112(1)
5.2 Power-Law Scaling in Absence of Characteristic Length
113(5)
5.3 Dimensional Analysis of Size Effect
118(1)
5.4 Second-Order Asymptotic Scaling Behavior at Small Size Limit
119(4)
5.5 Derivation of Size Effect Equations Using Equivalent LEFM
123(7)
5.6 Determination of R-Curve from Size Effect Analysis
130(3)
5.7 Size Effect Testing of Cohesive Law Parameters
133(7)
6 Probabilistic Theory of Quasibrittle Fracture
140(47)
6.1 Weibull Statistics of Structural Strength
141(8)
6.2 Finite Weakest-Link Model of Strength Distribution of Quasibrittle Structures
149(19)
6.3 Mean Size Effect on Structural Strength
168(3)
6.4 Problem with Applying Three-Parameter Weibull Distribution
171(2)
6.5 Apercu of Fishnet Statistics for Biomimetic, Architectured, Octet-Lattice and Some Particulate Materials
173(8)
6.6 Remark on Failure Probability of Concrete Specimens of Random Mean Strength in Large Database
181(6)
7 Quasibrittle Size Effect Analysis in Practical Problems
187(73)
7.1 Tensile Fracture Problems
188(14)
7.2 Tensile Fracture of Sea Ice
202(7)
7.3 Compression Fracture with Shear and Size Effects
209(19)
7.4 Tensile Fracture and Size Effect in Fiber Composites
228(14)
7.5 Bone Fracture and Size Effect
242(3)
7.6 Size Effect in Polymer Nanocomposites
245(2)
7.7 Interfacial Fracture of Metal-Composite Hybrid Joints
247(4)
7.8 Reliability of Polycrystalline Silicon MEMS Devices
251(4)
7.9 Analogy with Scaling of Small-Scale Yielding Fracture of Metals
255(5)
8 Overview of History
260(10)
8.1 Classical Theories of Fracture Mechanics and Scaling
260(2)
8.2 Development of Cohesive Crack Model
262(1)
8.3 Rice's J-Integral
263(1)
8.4 Quasibrittlenes, Scaling, and Fictitious Crack Model
264(1)
8.5 Crack Band Model
265(1)
8.6 Nonlocal Continuum Modeling of Softening Damage
266(2)
8.7 Size Effect in Shear Failure of RC Beams
268(2)
Appendix A Mathematical Proof of Path Independence of J-Integral 270(2)
Appendix B Derivation of Size Effect Equations by Dimensional Analysis and Asymptotic Matching 272(1)
B.1 Type 2 size effect 273(1)
B.2 Type 1 size effect 273(2)
Appendix C Universal Size Effect Law and Crack Length Effect 275(31)
Author Index 306(8)
Subject Index 314
Born and educated in Prague, Professor Zdenek P. Ba%zant joined Northwestern University in 1969, where he has been W. P. Murphy Professor since 1990 and McCormick Institute Professor since 2002. He has served as the President of the Society of Engineering Science (1993), and was the founding President (1991-93) of the International Association of Fracture Mechanics of Concrete Structures and the founding President (2001-2002) of the International Association of Concrete Creep and Durability Mechanics. He is the recipient of many awards, including the Freudenthal Medal in 2018, the ASME Medal in 2017, and the Austrian Cross of Honor for Science and Art in 2016. He is the author of six books and is generally regarded as the world leader in research on scaling in the mechanics of solids.



Dr. Jia-Liang Le is a professor in the Department of Civil, Environmental, and Geo-Engineering at the University of Minnesota. He earned his B. Eng. (First Class Honors) and M. Eng. from the National University of Singapore, and a Ph.D. in structural engineering from Northwestern University. He is a registered professional engineer and a member of ASCE, ACI, and SES. His research interests include fracture mechanics, probabilistic mechanics, scaling, computational mechanics, and structural reliability. He received the Army Research Office Young Investigator Award, the EMI Leonardo da Vinci Award from the American Society of Civil Engineers, and the Young Investigator Medal for the Society of Engineering Science.



Dr. Marco Salviato is an associate professor in the William E. Boeing Department of Aeronautics and Astronautics at the University of Washington. He earned his B.Sc. (First Class Honors) and M.Sc (First Class Honors) in mechanical engineering, and a Ph.D in theoretical and applied mechanics from the University of Padova. He is a registered professional engineer and a member of ASCE, ASME, SES, ASEE, and ASC. His research interests include computational modelling of composites and nanocomposites, integrated computational materials engineering, and stochastic finite element modelling. He is the recipient of the Haythornthwaite Young Investigator Award from the American Society of Mechanical Engineers and the DEStech Young Composites Researcher Award from the American Society for Composites.