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theoretical fracture models
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Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0009004
EISBN: 978-1-62708-185-6
.... bulk forming process mechanical plasticity strain state stress state theoretical fracture criteria theoretical fracture models workability theory WORKABILITY, as described in previous articles, is not merely a property of a material but a characteristic of the material/process system...
Abstract
This article focuses on the effects of mechanical plasticity on workability; that is, process control of localized stress and strain conditions to enhance workability. It describes the nature of local stress and strain states in bulk forming processes, leading to a classification scheme, including testing procedures and specific process measurements, that facilitate the application of workability concepts. Using examples, the article applies these concepts to forging, rolling, and extrusion processes. The stress and strain environments described in the article suggest that a workability test should be capable of subjecting the material to a variety of surface strain combinations. By providing insights on fracture criteria, these tests can be used as tools for troubleshooting fracture problems in existing processes, as well as in the process development for new product designs.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001348
EISBN: 978-1-62708-173-3
... formulations could be modeled by the absence or presence of interface elements that prevent interpenetration of the crack surfaces. Additionally, fracture parameters were calculated and compared well with previous analytic solutions. Interface Strength Measurements Based on the theoretical analysis...
Abstract
This article reviews quantifying adhesion, bonding, and interfacial characterization and strength in a solid-state welding process. It discusses metal-metal configurations and provides information on experimental work carried out in measuring the mechanical properties of interfaces based on theoretical analysis. A discussion on the properties affecting adhesion is also provided.
Series: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005581
EISBN: 978-1-62708-174-0
... Mechanisms and Theoretical Modeling of Bond Strength Surface preparation before cold welding is of utmost importance. In most welding applications, surface preparation consists of degreasing followed by scratch brushing. Studies of the welded and subsequently fractured bonds in scanning electron...
Abstract
Plastic deformation of one or both metals is required to obtain bonding in cold welding. This article presents a theoretical model, to explain the bond strength, based on metallographic studies and continuum mechanical analysis of the local plastic deformation in the weld interface. It describes the bonding mechanisms, with illustrations. The article discusses the alternative methods of surface preparation and quality control of the weld interface of a cold weld. It concludes with a description of a variety of metal-forming processes suitable for production of cold welds, namely, rolling, indentation, butt welding, extrusion, and shear welding.
Series: ASM Handbook
Volume: 13A
Publisher: ASM International
Published: 01 January 2003
DOI: 10.31399/asm.hb.v13a.a0003632
EISBN: 978-1-62708-182-5
... of the environmentally induced fractures that were previously termed liquid-metal embrittlement are now considered solid metal induced embrittlement. Because satisfactory mechanistic models have not been developed for any of these forms of environmental cracking, the prediction of environmentally assisted cracking...
Abstract
This article discusses the fundamental aspects of environmentally induced cracking. It provides a theoretical basis for the evaluation, testing, and methods of protection against the cracking. The article describes the mechanisms of corrosion that produce cracking of metals and intermetallic compounds as a result of exposure to their environment.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005461
EISBN: 978-1-62708-196-2
... Abstract This article discusses physical analysis, including slab method and upper-bound method and slip-line field analysis, for calculating stress states in plastic deformation processes. It presents various validation standards and models for evaluating the criterion of fracture for use...
Abstract
This article discusses physical analysis, including slab method and upper-bound method and slip-line field analysis, for calculating stress states in plastic deformation processes. It presents various validation standards and models for evaluating the criterion of fracture for use in finite-element analyses of deformation processing. The article reviews the Cockcroft-Latham criterion of fracture and its reformulated extension for analysing the fracture locus for compression. It concludes with information on fundamental fracture models.
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002349
EISBN: 978-1-62708-193-1
... the cause of cracking or crack growth. This article discusses the macroscopic and microscopic basis of understanding and modeling fracture resistance of metals. It describes the four major types of failure modes in engineering alloys, namely, dimpled rupture, ductile striation formation, cleavage...
Abstract
The cracking process occurs slowly over the service life from various crack growth mechanisms such as fatigue, stress-corrosion cracking, creep, and hydrogen-induced cracking. Each of these mechanisms has certain characteristic features that are used in failure analysis to determine the cause of cracking or crack growth. This article discusses the macroscopic and microscopic basis of understanding and modeling fracture resistance of metals. It describes the four major types of failure modes in engineering alloys, namely, dimpled rupture, ductile striation formation, cleavage or quasicleavage, and intergranular failure. Certain fundamental characteristics of fracture observed in precipitation-hardening alloys, ferrous alloys, titanium alloys are also discussed.
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005528
EISBN: 978-1-62708-197-9
... by ductile fracture of metals and alloys is a complex phenomenon. It depends on macroscopic process parameters as well as on the sheet microstructure and its material properties. Brief Literature Review on Modeling Shearing Processes While research on metal shearing dates back to the early 1900s...
Abstract
This article discusses a set of experimental and computational studies aimed at understanding the effect of various processing parameters on the extent of burr and other defect formation during sheet edge-shearing and slitting processes. It describes the development of experimentally validated finite-element models for analyzing the classes of shearing processes. The article also discusses the use of microstructural characterization with stereology to render three-dimensional volumetric parameters. It concludes with information on the numerical simulation of an edge-shearing process, along with sensitivity studies with respect to process and tool parameters.
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006352
EISBN: 978-1-62708-179-5
...%) KIc plain-strain fracture toughness, stress-intensity factor RAR relative abrasion resistance KId dynamic fracture toughness RE rare earth Kt theoretical stress concentration REE rare earth element DK stress-intensity factor range rpm revolutions per minute l length RSF roundness shape factor L liquid...
Series: ASM Handbook
Volume: 14B
Publisher: ASM International
Published: 01 January 2006
DOI: 10.31399/asm.hb.v14b.a0005166
EISBN: 978-1-62708-186-3
... Fracture Initiation in Bending Using Crystal Plasticity Models , Philos. Mag. A: Phys. Conden. Matter, Struct., Defects Mech. Prop. , Vol 81 ( No. 8 ), Aug 2001 , p 1997 – 2020 10.1080/01418610108216649 4. Mnif J. , “90° Bending of Sheets Made out of Aluminum Alloys,” Institute...
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002390
EISBN: 978-1-62708-193-1
... Behavior and Theoretical Modeling , Met. Sci. , Vol 15 , 1981 , p 425 – 432 9. Van Leeuwen H.P. , “The Application of Fracture Mechanics to the Growth of Creep Cracks,” AGARD Report No. 705, presented at the 56th Meeting of the Structures and Materials Panel, North Atlantic Treaty...
Abstract
The approaches to spectrum life prediction in components can be classified into two types, namely, history-based methods, using the life-fraction rule or other damage rules, and postservice evaluation methods. This article discusses the variables affecting the material crack growth rate behavior and those essential elements in making spectrum crack growth life prediction. It provides information on life assessment for bulk creep damage.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003399
EISBN: 978-1-62708-195-5
... of the stress-strain plot is matrix-plasticity-dominated. However, toward the end of region BC in Fig. 5 , fiber cracks start occurring, so that there is combination of plasticity and damage. Here, the statistical fiber-fracture model in Ref 16 and 17 can be used to incorporate the effects of fiber...
Abstract
The goal of micromechanics and analysis is to use the predictive methodology to develop tailored composites and also to make accurate predictions of their performance in service. This article reviews results derived from micromechanics analyses, based on finite-element method of unidirectional fiber reinforced metal matrix composites (MMCs). It discusses the elastic deformation and elastic-plastic deformation analysis of discontinuously reinforced MMCs. The article provides an overview of analysis of strength, fatigue, and fracture toughness for macromechanics fiber-reinforced and discontinuous reinforced composites.
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006941
EISBN: 978-1-62708-395-9
... functions have to be determined. Usable, accurate mathematical expressions for such functions can be obtained from theoretical viscoelastic models, or the functions can be obtained empirically. It must also be remembered that at some point a temperature dependence has to appear, implicitly or explicitly...
Abstract
This article describes the viscoelastic behavior of plastics in their solid state only, from the standpoint of the material deforming without fracturing. The consequences of viscoelasticity on the mechanical properties of plastics are described, especially in terms of time-dependencies, as well as the dependence of the viscoelastic character of a plastic on chemical, physical, and compositional variables. By examining the viscoelastic behavior of plastics, the information obtained are then applied in situations in which it may be important to anticipate the long-term properties of a material. This includes assessing the extent of stress decay in materials that are pre-stressed, the noise and vibration transmission characteristics of a material, the amount of heat build-up in a material subjected to cyclic deformation, and the extent a material can recover from any prior deformation. Several qualitative graphs are presented, which highlights the possible differences in the viscoelastic behavior that can exist among plastics.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002476
EISBN: 978-1-62708-194-8
... remains is the specification of the failure function ψ for each reliability model. Phenomenological Models (NSA and PIA) To predict the time-independent (also referred to as fast-fracture) material response under multiaxial stress states Weibull ( Ref 2 ) proposed calculating a failure function per...
Abstract
Brittle materials, such as ceramics, intermetallics, and graphites, are increasingly being used in the fabrication of lightweight components. This article focuses on the design methodologies and characterization of certain material properties. It describes the fundamental concepts and models associated with performing time-independent and time-dependent reliability analyses for brittle materials exhibiting scatter in ultimate strength. The article discusses the two-parameter and three-parameter Weibull distribution for representing the underlying probability density function for tensile strength. It reviews life prediction reliability models used for predicting the life of a component with complex geometry and loading. The article outlines reliability algorithms and presents several applications to illustrate the utilization of these reliability algorithms in structural applications.
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002370
EISBN: 978-1-62708-193-1
...) obviously the probability of fracture ( P F ) rises with higher stress levels. There has been some discussion about how to calculate P F . Theoretical studies and some comparative investigations ( Ref 4 ) lead to: (Eq 1) P F = 100 ( 3 r − 1 ) / ( 3 n + 1 ) P...
Abstract
This article describes a scientific approach to the planning and evaluation of fatigue tests based on the determination of probabilities for detected fracture positions within the observed range of fatigue scatter. It schematically illustrates a constant-amplitude stress cycling about a possible mean load that leads to the fracture of a single part or specimen. The article discusses the evaluation of the range of transition and of the finite-endurance range for fatigue curves. It concludes with a discussion on extrapolation from the range of finite endurance into the range of transition.
Series: ASM Handbook
Volume: 6
Publisher: ASM International
Published: 01 January 1993
DOI: 10.31399/asm.hb.v06.a0001351
EISBN: 978-1-62708-173-3
.... Oberg et al. ( Ref 34 ) used the Miedema model for alloy formation to explain the metallurgical details of explosion bonds. In their analysis, they suggest strong correlations between interfacial bond strength and the formation energies between binary alloy constituents. If the theoretical formation...
Abstract
Explosion welding (EXW), also known as explosive bonding, is accomplished by a high-velocity oblique impact between two metals. This article describes the practice of producing an explosive bond/weld and draws on many previous research results in order to explain the mechanisms involved. It provides a schematic illustration of the arrangement used in the parallel gap explosive bonding process. The article discusses several important concepts pertaining to explosive parameters, hydrodynamic flow, jetting, and metal properties. It summarizes the criteria used to model the explosive bonding process. The article describes bond morphology in terms of wave formation, bond microstructure, and bond strength determination.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003400
EISBN: 978-1-62708-195-5
... are presented. The stress distribution section demonstrates the effects of inelasticity on crack-tip stress fields. Models for crack initiation are discussed. Crack propagation models are derived. Environmental degradation effects on damage tolerance are addressed. General Framework for Fracture...
Abstract
One of the key attributes of continuous fiber-reinforced ceramic composites (CFCCs) is their ability to undergo inelastic straining upon mechanical loading. This article reviews the mechanics of inelastic deformation and fracture of CFCCs, as needed for the development of damage-tolerant failure prediction methodologies for use in engineering design. It outlines a general framework for the description of fracture in structural materials in the presence of notches and cracks. The article describes the common classes of fracture behavior of CFCCs and presents the constitutive laws needed to describe crack-tip inelasticity. It demonstrates the effects of inelasticity on crack-tip stress fields and addresses the environmental degradation effects on damage tolerance.
Series: ASM Handbook
Volume: 14A
Publisher: ASM International
Published: 01 January 2005
DOI: 10.31399/asm.hb.v14a.a0004017
EISBN: 978-1-62708-185-6
... deformation finite-element modeling forgeability test fracture indentation test plane-strain compression test ring compression test strain strain rate stress tension test workability workability analysis workability tests WORKABILITY refers to the relative ease with which a metal can...
Abstract
This article focuses on the factors that determine the extent of deformation a metal can withstand before cracking or fracture occurs. It informs that workability depends on the local conditions of stress, strain, strain rate, and temperature in combination with material factors. The article discusses the common testing techniques and process variables for workability prediction. It illustrates the simple and most widely used fracture criterion proposed by Cockcroft and Latham and provides a workability analysis using the fracture limit line. The article describes various workability tests, such as the tension test, ring compression test, plane-strain compression test, bend test, indentation test, and forgeability test. It concludes with information on the role of the finite-element modeling software used in workability analysis.
Book: Composites
Series: ASM Handbook
Volume: 21
Publisher: ASM International
Published: 01 January 2001
DOI: 10.31399/asm.hb.v21.a0003382
EISBN: 978-1-62708-195-5
... energy release rate (ΔG). In a similar manner, interlaminar fracture models can be used to determine if a delamination will initiate and grow from a flaw. For the special case where the dominant failure mechanism is delamination, interlaminar fracture methods based on strain energy release rate...
Abstract
In the design of composite structures for durability and damage tolerance, the primary concerns are out-of-plane failures, such as delamination, material degradation associated with environment, stability under compression loading, large degree of scatter in fatigue life, and bearing failure of joints. This article presents an introductory discussion on the fatigue damage process, methodologies assessing fatigue behavior, and life prediction models. It describes the damage mechanisms introduced for a quasi-isotropic laminate under tension-compression fatigue loading. Delamination is a critical issue in fatigue and generally results from high interlaminar normal and shear stresses. The article schematically illustrates the structural elements in which high interlaminar stresses are common. It concludes with a discussion on the classification of fatigue models such as mechanistic or phenomenological, for composite materials under cyclic loading.
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002474
EISBN: 978-1-62708-194-8
... mechanisms involved and, consequently, on the tribosystem. These relationships can be linear or nonlinear. For example, in the case of adhesive wear, simple theoretical models indicate that wear volume is proportional to load. On the other hand, models used to describe fatigue wear typically indicate...
Abstract
Wear is the damage to a solid surface as a result of relative motion between it and another surface or substance. This article discusses the four general ways by which a material can wear, namely, adhesive wear, abrasive wear, fatigue or fatigue-like wear, and corrosive wear. It tabulates the operational classification of wear situations and describes the relationship between wear or wear rate and design parameters. The article reviews the effect of lubrication on wear behavior and the types of lubricants. It illustrates some fundamental criteria that can be applied in the selection of a material for wear applications. The article explains four elements of wear design, such as system analysis, modeling, data gathering, and verification. It concludes with a discussion on the design approach for low-wear computer peripherals.
Book: Fatigue and Fracture
Series: ASM Handbook
Volume: 19
Publisher: ASM International
Published: 01 January 1996
DOI: 10.31399/asm.hb.v19.a0002352
EISBN: 978-1-62708-193-1
... scatter. Source: Ref 8 The sequence of fracture is void initiation, void growth, and finally coalescence. Accordingly, the effect of microstructural variables on each step has been studied in detail. Two reviews provide summaries of both experimental studies and analytical models of microvoid...
Abstract
This article provides a brief description of the different types of micromechanisms of monotonic and cyclic fracture. General information on the material variables that have the most beneficial effect on resistance to failure is presented. The article discusses the various stages, growth rates, and striation spacings of fatigue crack. The mechanisms of fatigue striation formation are also discussed. The fatigue crack growth in duplex microstructures and cyclic crack growth in polymers are reviewed. The article also describes the mechanisms and models of fatigue crack closure.
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