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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids

Applications of Fracture Mechanics to Reinforced Concrete (Hardcover): Alberto Carpinteri Applications of Fracture Mechanics to Reinforced Concrete (Hardcover)
Alberto Carpinteri
R15,519 Discovery Miles 155 190 Ships in 12 - 17 working days

This volume emphazises the most early 1990s advances in fracture mechanics as specifically applied to steel bar reinforced concrete. Fracture mechanics has been applied to plain and fibre reinforced concrete with increasing success over recent years. This workshop extended these concepts to steel bar reinforced and pre-stressed concrete design. Particularly for high strength concrete, which is a very brittle material, and in the case of large structural members, the application of fracture mechanics appears to be very useful for improving the present design rules. The participants at the Turin workshop contributed expert opinions in four selected areas for which a rational approach, using fracture mechanics, could introduce variations into the concrete design codes: size effects; anchorage and bond; minimum reinforcement for elements in flexure; and shear resistance. The 23 chapters logically address these themes and demonstrate the unique ability of fracture mechanics to capture all the experimentally observed characteristics.

Fracture Mechanics Test Methods For Concrete (Hardcover): Surendra Shah, Alberto Carpinteri Fracture Mechanics Test Methods For Concrete (Hardcover)
Surendra Shah, Alberto Carpinteri
R9,646 Discovery Miles 96 460 Ships in 12 - 17 working days

This work reviews methods for the experimental determination of concrete toughness and presents theories and models suitable for describing cracking and fracturing phenomena in plain and reinforced concrete. Test methods based on classsical linear fracture mechanics cannot be applied to laboratory sized concrete specimens. The book compares the currently used methods and presents recommended test procedures for mode I fracture/toughness using notched beam and other specimens. Crack propagation under mixed-mode loading (Mode II) is discussed and current test methods are extensively reviewed. Effects of loading rate, temperature and humidity effects are treated in a separate chapter. The book concludes with descriptions and recommendations of techniques for detecting the fracture process zone in concrete, in particular, pulse velocity and laser interferometry techniques. The introduction of the concepts of fracture toughness and fracture energy into structural concrete design codes means that the experimental determination of fracture porperties is ceasing to be an academic exercise and is becoming a technical need. This book has been prepared by RILEM Technical committee 89-FMT and

Analysis of Concrete Structures by Fracture Mechanics - Proceedings of a RILEM Workshop dedicated to Professor Arne Hillerborg,... Analysis of Concrete Structures by Fracture Mechanics - Proceedings of a RILEM Workshop dedicated to Professor Arne Hillerborg, Abisko, Sweden 1989 (Hardcover)
L. Elfgren, Surendra Shah
R9,632 Discovery Miles 96 320 Ships in 12 - 17 working days

This volume sets out to present recent research findings on the applications of fracture mechanics to concrete structures. Papers from international contributors describe existing and new modelling techniques in the analysis of concrete materials and structures. Topics discussed include structural modelling, bending, shear, bond and anchorage. The book forms the proceedings of a RILEM workshop held in Sweden in 1989. It is dedicated to Professor Arne Hillerborg, whose contribution to fracture mechanics is also reviewed.

Multiaxial Notch Fracture and Fatigue (Hardcover): Xiangqiao Yan Multiaxial Notch Fracture and Fatigue (Hardcover)
Xiangqiao Yan
R3,181 Discovery Miles 31 810 Ships in 12 - 17 working days

1) Presents a new type of S-N equation 2) Discusses empirical fracture equations of mixed mode crack 3) Applies the Wohler Curve Methods for a Low/Medium/High cycle fatigue in metallic materials 4) Enables the reader to analyse failure and fracture in metallic materials

Connections in Steel Structures - Behaviour, strength and design (Hardcover): R. Bjorhovde, J. Brozzetti, A. Colson Connections in Steel Structures - Behaviour, strength and design (Hardcover)
R. Bjorhovde, J. Brozzetti, A. Colson
R10,384 Discovery Miles 103 840 Ships in 12 - 17 working days

This book contains technical papers, presented at the International Workshop on Connections and the Behaviour, Strength and Design of Steel Structures, on topics including local analysis of joints, modeling of load-deflection behaviour, methods of frame analysis, and design requirements and codes.

Predicting Outdoor Sound (Hardcover, 2nd edition): Keith Attenborough, Timothy Van Renterghem Predicting Outdoor Sound (Hardcover, 2nd edition)
Keith Attenborough, Timothy Van Renterghem
R5,032 Discovery Miles 50 320 Ships in 9 - 15 working days

The second edition of Predicting Outdoor Sound is an up-to-date reference on the propagation of sound close to the ground and its prediction. New content includes comparisons between predictions and data for road traffic, railway and wind turbine noise; descriptions of source characteristics in the HARMONOISE model; propagation over rough seas, parallel low walls, and lattices; outlines of numerical methods; gabion (caged stones) and sonic crystal noise barriers; meteorological effects on noise barrier performance; and the prediction requirements for auralization. The book brings together relevant theories, prediction schemes, and data, thereby providing a basis for determining what model or scheme might be applicable for any situation. It also offers a background on useful analytical approximations and the restrictions, as well as difficulties and limitations associated with engineering prediction schemes. The text should be of considerable interest to researchers in outdoor sound propagation and, more generally, it should provide a comprehensive primer on the topic for lecturers, consultants and students in acoustics and noise control.

The Welding Engineer's Guide to Fracture and Fatigue (Hardcover, UK ed.): Philippa Moore, Geoff Booth The Welding Engineer's Guide to Fracture and Fatigue (Hardcover, UK ed.)
Philippa Moore, Geoff Booth
R3,884 Discovery Miles 38 840 Ships in 12 - 17 working days

The Welding Engineer's Guide to Fracture and Fatigue provides an essential introduction to fracture and fatigue and the assessment of these failure modes, through to the level of knowledge that would be expected of a qualified welding engineer. Part one covers the basic principles of weld fracture and fatigue. It begins with a review of the design of engineered structures, provides descriptions of typical welding defects and how these defects behave in structures undergoing static and cyclical loading, and explains the range of failure modes. Part two then explains how to detect and assess defects using fitness for service assessment procedures. Throughout, the book assumes no prior knowledge and explains concepts from first principles.

Nonlinear Dynamics and Vibration Control of Flexible Systems (Hardcover): Jie Huang Nonlinear Dynamics and Vibration Control of Flexible Systems (Hardcover)
Jie Huang
R3,210 Discovery Miles 32 100 Ships in 12 - 17 working days

1) Covers different types of cranes including bridge cranes, tower cranes, aerial cranes and dual cranes 2) Provides different industrial applications 3) Demonstrates how to reduce unwanted vibrations to ensure safe and effective operations 4) Discusses how to use advanced control methods in order to reduce vibration

Collision Actions on Structures (Hardcover): Arnold C.Y. Yong, Nelson T.K. Lam, Scott J. Menegon Collision Actions on Structures (Hardcover)
Arnold C.Y. Yong, Nelson T.K. Lam, Scott J. Menegon
R2,971 Discovery Miles 29 710 Ships in 12 - 17 working days

This textbook covers the collision of a moving, falling or flying object on a rigid barrier or a structural element, and the transmission of the transient action to the rest of the structural system. It is the only up-to-date book on this under-researched topic that confronts engineers on a day-to-day basis. The book deals with a range of real-life engineering problems and focuses on the application of knowledge and skillsets from structural analysis and structural dynamics. Fundamental principles and concepts on structural collision are first introduced, followed by their specific applications such as vehicular collision on bridge structures, boulder impact on rockfall barriers and collision by hail and windborne debris. Analytical solutions provided are in the form of closed-form expressions, which can be directly adopted in conventional manual calculations. The use of spreadsheets to simulate the dynamic response behaviour is also covered. The only standalone book covering the topic from a civil engineering perspective Practical guidance on real-life engineering problems, and use of computational and physical methods Conveys methodology validated experimentally The book provides an excellent guide for practitioners and sets out fundamental principles for graduate students in civil, structural and mechanical engineering.

Real-Time Structural Health Monitoring of Vibrating Systems (Hardcover): Basuraj Bhowmik, Vikram Pakrashi, Budhaditya Hazra Real-Time Structural Health Monitoring of Vibrating Systems (Hardcover)
Basuraj Bhowmik, Vikram Pakrashi, Budhaditya Hazra
R4,506 Discovery Miles 45 060 Ships in 12 - 17 working days

Develops theoretical background for real time SHM without assuming previous knowledge of the readers Simulates numerical systems and provide relevant code snippets Conducts experiments based on the demonstrations provided in the chapters and provide relevant benchmark results Establishes multidisciplinary applications for disparate industrial fields

Elastic Wave Propagation in Structures and Materials (Hardcover): Srinivasan Gopalakrishnan Elastic Wave Propagation in Structures and Materials (Hardcover)
Srinivasan Gopalakrishnan
R4,092 Discovery Miles 40 920 Ships in 12 - 17 working days

Elastic Wave Propagation in Structures and Materials initiates with a brief introduction to wave propagation, different wave equations, integral transforms including fundamentals of Fourier Transform, Wavelet Transform, Laplace Transform and their numerical implementation. Concept of spectral analysis and procedure to compute the wave parameters, wave propagation in 1-D isotropic waveguides, wave dispersion in 2-D waveguides is explained. Wave propagation in different media such as laminated composites, functionally graded structures, granular soils including non-local elasticity models is addressed. The entire book is written in modular form and analysis is performed in frequency domain. Features: Brings out idea of wave dispersion and its utility in the dynamic responses. Introduces concepts as Negative Group Speeds, Einstein's Causality and escape frequencies using solid mathematical framework. Discusses the propagation of waves in materials such as laminated composites and functionally graded materials. Proposes spectral finite element as analysis tool for wave propagation. Each concept/chapter supported by homework problems and MATLAB/FORTRAN codes. This book aims at Senior Undergraduates and Advanced Graduates in all streams of engineering especially Mechanical and Aerospace Engineering.

Blade Element Rotor Theory (Hardcover): Pylyp Volodin Blade Element Rotor Theory (Hardcover)
Pylyp Volodin
R2,349 Discovery Miles 23 490 Ships in 12 - 17 working days

Blade Element Rotor Theory This book presents an extension of the conventional blade element rotor theory to describe the dynamic properties of helicopter rotors. The presented theory focuses on the accurate mathematical determination of the forces and moments by which a rotor affects its rotorcraft at specified flight conditions and control positions. Analyzing the impact of a blade's non-uniform properties, the book covers blade twisting, the non-rectangular planform shape of a blade, and inhomogeneous airfoil along the blade. It discusses inhomogeneous induced airflow around a rotor disc in terms of the blade element rotor theory. This book also considers the impact of flapping hinge offset on the rotor's dynamic properties. Features * Focuses on a comprehensive description and accurate determination of the rotor's aerodynamic properties * Presents precise helicopter rotor properties with inhomogeneous aerodynamic properties of rotor blades * Considers inhomogeneous distribution of induced flow * Discusses a mathematical model of a main helicopter rotor for a helicopter flight simulator This book is intended for graduate students and researchers studying rotor dynamics and helicopter flight dynamics

Passive Vibration Control of Structures (Hardcover): Suhasini Madhekar, Vasant Matsagar Passive Vibration Control of Structures (Hardcover)
Suhasini Madhekar, Vasant Matsagar
R4,970 Discovery Miles 49 700 Ships in 12 - 17 working days

Research in vibration response control deals not only with prevention of catastrophic failures of structures during natural or accidental/manmade hazards but also ensures the comfort of occupants through serviceability. Therefore, the focus of this book is on the theory of dynamic response control of structures by using different kinds of passive vibration control devices. The strategies used for controlling displacement, velocity, and acceleration response of structures such as buildings, bridges, and liquid storage tanks under the action of dynamic loads emanating from earthquake, wind, wave, and so forth are detailed. The book: Explains fundamentals of vibration response control devices and their practical applications in response mitigation of structures exposed to earthquake, wind, and wave loading Offers a comprehensive overview of each passive damper, its functioning, and mathematical modeling in a dynamical system Covers practical aspects of employing the passive control devices to some of the benchmark problems that are developed from existing buildings and bridges in different countries worldwide Includes MATLAB (R) codes for determining the dynamic response of single degree of freedom (SDOF) and multi-degree of freedom (MDOF) systems along with computational models of the passive control devices This book is aimed at senior undergraduate students, graduate students, and researchers in civil, earthquake, aerospace, automotive, mechanical engineering, engineering dynamics, and vibration control, including structural engineers, architects, designers, manufacturers, and other professionals.

Foundations of Stress Waves (Hardcover): Lili Wang Foundations of Stress Waves (Hardcover)
Lili Wang
R3,852 Discovery Miles 38 520 Ships in 12 - 17 working days

The primary objective of this work is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems.
* Helps engineers understand the effects and behavior of stress waves in various materials
* Aids in the process of engineering design, testing, and evaluation

High Cycle Fatigue - A Mechanics of Materials Perspective (Hardcover): Theodore Nicholas High Cycle Fatigue - A Mechanics of Materials Perspective (Hardcover)
Theodore Nicholas
R5,902 Discovery Miles 59 020 Ships in 12 - 17 working days

Dr Theodore Nicholas ran the High Cycle Fatigue Program for the US Air Force between 1995 and 2003 at Wright-Patterson Air Force Base, and is one of the world s leading authorities on the subject, having authored over 250 papers in leading archival journals and books.
Bringing his plethora of expertise to this book, Dr Nicholas discusses the subject of high cycle fatigue (HCF) from an engineering viewpoint in response to a series of HCF failures in the USAF and the concurrent realization that HCF failures in general were taking place universally in both civilian and military engines.
Topic covered include:
- Constant life diagrams
- Fatigue limits under combined LCF and HCF
- Notch fatigue under HCF conditions
- Foreign object damage (FOD)
* Brings years of the Author's US Air Force experience in high cycle fatigue together in one text
* Discusses HCF in the context of recent international military and civilian engine failures

Basic Engineering Plasticity - An Introduction with Engineering and Manufacturing Applications (Paperback): David Rees Basic Engineering Plasticity - An Introduction with Engineering and Manufacturing Applications (Paperback)
David Rees
R1,825 R1,689 Discovery Miles 16 890 Save R136 (7%) Ships in 12 - 17 working days

Plasticity is concerned with understanding the behavior of metals and alloys when loaded beyond the elastic limit, whether as a result of being shaped or as they are employed for load bearing structures.
Basic Engineering Plasticity delivers a comprehensive and accessible introduction to the theories of plasticity. It draws upon numerical techniques and theoretical developments to support detailed examples of the application of plasticity theory. This blend of topics and supporting textbook features ensure that this introduction to the science of plasticity will be valuable for a wide range of mechanical and manufacturing engineering students and professionals.
-Brings together the elements of the mechanics of plasticity most pertinent to engineers, at both the micro- and macro-levels
-Covers the theory and application of topics such as Limit Analysis, Slip Line Field theory, Crystal Plasticity, Sheet and Bulk Metal Forming, as well as the use of Finite Element Analysis
-Clear and well-organized with extensive worked engineering application examples, end of chapter exercises and a separate worked solutions manual

Vibration Control Engineering - Passive and Feedback Systems (Hardcover): Ernesto Novillo Vibration Control Engineering - Passive and Feedback Systems (Hardcover)
Ernesto Novillo
R3,042 Discovery Miles 30 420 Ships in 12 - 17 working days

This book applies vibration engineering to turbomachinery, covering installation, maintenance and operation. With a practical approach based on clear theoretical principles and formulas, the book is an essential how-to guide for all professional engineers dealing with vibration issues within turbomachinery. Vibration problems in turbines, large fans, blowers, and other rotating machines are common issues within turbomachinery. Applicable to industries such as oil and gas mining, cement, pharmaceutical and naval engineering, the ability to predict vibration based on frequency spectrum patterns is essential for many professional engineers. In this book, the theory behind vibration is clearly detailed, providing an easy to follow methodology through which to calculate vibration propagation. Describing lateral and torsional vibration and how this impacts turbine shaft integrity, the book uses mechanics of materials theory and formulas alongside the matrix method to provide clear solutions to vibration problems. Additionally, it describes how to carry out a risk assessment of vibration fatigue. Other topics covered include vibration control techniques, the design of passive and active absorbers and rigid, non-rigid and Z foundations. The book will be of interest to professionals working with turbomachinery, naval engineering corps and those working on ISO standards 10816 and 13374. It will also aid mechanical engineering students working on vibration and machine design.

Industrial Approaches in Vibration-Based Condition Monitoring (Paperback): Jyoti Kumar Sinha Industrial Approaches in Vibration-Based Condition Monitoring (Paperback)
Jyoti Kumar Sinha
R1,409 Discovery Miles 14 090 Ships in 12 - 17 working days

Vibration-based condition monitoring (VCM) is a well-accepted approach in industries for early detection of any defect, thereby triggering the maintenance process and ultimately reducing overheads and plant downtime. A number of vibration instruments, data analyzer and related hardware and software codes are developed to meet the industry requirements. This book aims to address issues faced by VCM professionals, such as frequency range estimation for vibration measurements, sensors, data collection and data analyzer including related parameters which are explained through step-by-step approaches. Each chapter is written in the tutorial style with experimental and/or industrial examples for clear understanding.

Physico-Mathematical Theory of High Irreversible Strains in Metals (Paperback): V.M. Greshnov Physico-Mathematical Theory of High Irreversible Strains in Metals (Paperback)
V.M. Greshnov
R1,350 Discovery Miles 13 500 Ships in 12 - 17 working days

Presents a new physical and mathematical theory of irreversible deformations and ductile fracture of metals that acknowledges the continuous change in the structure of materials during deformation and the accumulation of deformation damage. Plastic deformation, viscous destruction, evolution of structure, creep processes, and long-term strength of metals and stress relaxation are described in the framework of a unified approach and model. The author then expands this into a mathematical model for determining the mechanical characteristics of quasi-samples of standard mechanical properties in deformed semi-finished products.

Road Vehicle Dynamics - Fundamentals and Modeling with MATLAB (R) (Paperback, 2nd edition): Georg Rill, Abel Arrieta Castro Road Vehicle Dynamics - Fundamentals and Modeling with MATLAB (R) (Paperback, 2nd edition)
Georg Rill, Abel Arrieta Castro
R1,463 Discovery Miles 14 630 Ships in 12 - 17 working days

Road Vehicle Dynamics: Fundamentals and Modeling with MATLAB (R), Second Edition combines coverage of vehicle dynamics concepts with MATLAB v9.4 programming routines and results, along with examples and numerous chapter exercises. Improved and updated, the revised text offers new coverage of active safety systems, rear wheel steering, race car suspension systems, airsprings, four-wheel drive, mechatronics, and other topics. Based on the lead author's extensive lectures, classes, and research activities, this unique text provides readers with insights into the computer-based modeling of automobiles and other ground vehicles. Instructor resources, including problem solutions, are available from the publisher.

Rail Vehicle Mechatronics (Hardcover): Maksym Spiryagin, Stefano Bruni, Christopher Bosomworth, Peter Wolfs, Colin Cole Rail Vehicle Mechatronics (Hardcover)
Maksym Spiryagin, Stefano Bruni, Christopher Bosomworth, Peter Wolfs, Colin Cole
R4,368 Discovery Miles 43 680 Ships in 12 - 17 working days

Examines all the major types of mechatronic systems used in railway applications Surveys rail vehicle mechatronic design processes with practical sources and references Outlines modelling approaches for rail vehicles, from concept to finishined prototype Analyzes system integration of complex railway mechatronic systems Presents numerical experiments and mechatronic models with railway transport applications

Advances in Mechanism Design III - Proceedings of TMM 2020 (Hardcover, 1st ed. 2022): Jaroslav Beran, Martin Bilek, Miroslav... Advances in Mechanism Design III - Proceedings of TMM 2020 (Hardcover, 1st ed. 2022)
Jaroslav Beran, Martin Bilek, Miroslav Vaclavik, Petr Zabka
R5,015 Discovery Miles 50 150 Ships in 12 - 17 working days

This book presents the latest research advances relating to machines and mechanisms. Featuring papers from the XIII International Conference on the Theory of Machines and Mechanisms (TMM 2020), held in Liberec, Czech Republic, on September 7-9, 2021, it includes a selection of the most important new results and developments. The book is divided into five parts, representing a well-balanced overview, and spanning the general theory of machines and mechanisms, through analysis and synthesis of planar and spatial mechanisms, linkages and cams, robots and manipulators, dynamics of machines and mechanisms, rotor dynamics, computational mechanics, vibration and noise in machines, optimization of mechanisms and machines, mechanisms of textile machines, mechatronics and control and monitoring systems of machines. This conference is traditionally held every four years under the auspices of the international organisation IFToMM and the Czech Society for Mechanics.

Elastic Beams and Frames (Paperback, 2nd edition): J.D. Renton Elastic Beams and Frames (Paperback, 2nd edition)
J.D. Renton
R2,551 R2,333 Discovery Miles 23 330 Save R218 (9%) Ships in 12 - 17 working days

The book approaches the basic theory of structures from a different perspective from standard pedagogy. There is consideration of work and energy concepts as fundamental and the equations of statics derived from them. Likewise, these concepts, together with that of the characteristic response, are used in the derivation of beam theory. Plane sections remaining plane is then seen as a particular result for isotropic, homogeneous, prismatic beams. The general theory may still be used where none of these conditions holds, and can even be applied to trusses. It also corrects errors in the theory of beam shear. Special topics discussed include non-uniform torsion, the exact analysis of shear, anisotropy, advanced energy methods, optimum structures, and regular frames. Software provided in the book includes seven general purpose programs for analysis of plane, space frames with rigid or pinned joints, and uses the augmented Gaussian elimination process and dynamic storage techniques.
Approaches the basic theory of elastic beams and frames from a different perspective from standard pedagogyProvides an introduction to more advanced ideas on the theory of structures and contains much additional materialIncludes consideration of work and energy concepts as fundamental and the equations of statistics derived from them

Solid-Liquid Separation (Hardcover, 4th edition): Ladislav Svarovsky Solid-Liquid Separation (Hardcover, 4th edition)
Ladislav Svarovsky
R4,659 Discovery Miles 46 590 Ships in 12 - 17 working days

Solid Liquid Separation includes important industrial processes used for recovery and processing of solids or purification of liquids. Most of the process industries in which particulate slurries are handled use some form of solid-liquid separation and yet the subject is not adequately covered in most higher education courses.
This book is designed to bring the readers up-to-date on the principles and industrial practices of solid-liquid separation and washing technology. Particular attention is given to hardware and to its evaluation, application and selection. Whilst not exclusively concerned with filtration and sedimentation, these operations will be dealt with in depth.
Important variations in the available equipment will be discussed throughout the book with emphasis on basic engineering concepts, equipment selection and evaluation, solids washing, methods of pre-treatment, filter aids and other practical aspects of mechanical separation.
This book is intended for engineers and scientists of graduate status who are engaged in design, production for research and development.

This book is designed to bring the readers up-to-date on the principles and industrial practices of solid-liquid separation and washing technology. Particular attention is given to hardware and to its evaluation, application and selection. Whilst not exclusively concerned with filtration and sedimentation, these operations are dealt with in depth.
Important variations in the available equipment are discussed throughout the book with emphasis on basic engineering concepts, equipment selection and evaluation, solids washing, methods of pre-treatment, filter aids and other practical aspects of mechanical separation.
This book is intended for engineers and scientists of graduate status who are engaged in design, production for research and development.

Author is the top of his field, and knows well all the latest advances in his subject area.
Fourth edition of a title which is respected and admired in the world of Chemical Engineering.
Updated and revised to match the developments in the industry.

Small Fatigue Cracks - Mechanics, Mechanisms and Applications (Hardcover): K.S. Ravichandran, Y. Murakami, R.O. Ritchie Small Fatigue Cracks - Mechanics, Mechanisms and Applications (Hardcover)
K.S. Ravichandran, Y. Murakami, R.O. Ritchie
R4,104 Discovery Miles 41 040 Ships in 12 - 17 working days

This book contains the fully peer-reviewed papers presented at the Third Engineering Foundation Conference on Small Fatigue Cracks, held under the chairmanship of K.S. Ravichandran and Y. Murakami during December 6-11, 1998, at the Turtle Bay Hilton, Oahu, Hawaii. This book presents a state-of-the-art description of the mechanics, mechanisms and applications of small fatigue cracks by most of the world's leading experts in this field. Topics ranging from the mechanisms of crack initiation, small crack behavior in metallic, intermetallic, ceramic and composite materials, experimental measurement, mechanistic and theoretical models, to the role of small cracks in fretting fatigue and the application of small crack results to the aging aircraft and high-cycle fatigue problems, are covered.

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