Fracture Appearance and mechanisms of Deformation and fracture W.T. Becker, University of Tennessee, Emeritus; S. Lampman, ASM International Introduction FAILURE(briefly described as loss of function) occurs in multiple ways for multiple reasons and does not always result in fracture. Types of failure for which fracture does not occur are considered in other sections of this Volume. while this article introduces the section on fracture. However. it should be remembered that some nonfracture-failure scenarios may ultimately lead to fracture. Wear processes, for example, can ultimately lead to fracture by galling and/or fretting fatigue. Other examples include fatigue crack initiation at surface pits from corrosion, cyclic loading in a corrosive environment (stress-corrosion fatigue) and elastic buckling. Elastic buckling may cause parts to contact, causing seizure of a rotating system, but it may also lead to plastic buckling and ultimately to fracture The purpose of this article is to introduce the subject of fractography and how it is used in failure analysis Fractography is the science of revealing loading conditions and environment that caused the fracture by a three- dimensional interpretation of the appearance of a broken component. If the specimen is well preserved and if the analyst is knowledgeable, the fracture appearance reveals details of the loading events that culminated in fracture. An understanding of how cracks nucleate and grow microscopically to cause bulk(macroscale fracture is an essential part of fractography. The ability to accomplish this resides in interpretation of fracture surface features at both the micro- and macroscales. It is important that examination of the fracture surface and adjacent component sur face be done starting at low magnification with sequential examination of features of interest at increasing magnification. It is only in this way that significant features are identified as to location on the macroscale fracture surface. Stated differently, potential explanations for cause for failure must be consistent with both macroscopic and microscopic features The ultimate purpose of fractography and the other methods of failure analysis is the determination of the technical) root cause of failure, which may arise from various conditions such as inappropriate use,an unanticipated operating environment, improper prior fabrication, improper or inadequate design, inadequate maintenance or repair, or combinations thereof. Possible root causes also include design mistakes such as inadequate stress analysis, alloy selection, improper mechanical/thermal processing, improper assembly, and failure to accommodate an adverse operating environment. Fractography provides a unique tool to determine potential causal factors such as Whether a material was used above its design stress Whether the failed component had or did not have the properties assumed by the design engineer Whether a discontinuity was critical enough to cause failure This article introduces the topic of fractography and the interpretation of fracture surfaces. The basic types of fracture processes(ductile, brittle, fatigue, and creep) are described briefly, principally in terms of fracture appearances(as sometimes affected by the microstructure). More in-depth coverage on specific types of fracture(processes such as ductile and brittle fracture, fatigue, creep, and complex environmentally assisted cking from stress-corrosion cracking and hydrogen embrittlement) is in other articles in this Volume Articles on the fractographic appearances of polymeric and ceramic materials are also included. Fractography of electronic components, which is addressed in detail in Ref 1, is not covered in this Volume Tables I and 2 list some general types of macroscale and microscale fractographic features, which are described in more detail in this article. In summary form, the following are key features in distinguishing between montonic versus fatigue fracture and ductile versus brittle fractures(on either a macroscale or microscale) Thefileisdownloadedfromwww.bzfxw.com
Fracture Appearance and Mechanisms of Deformation and Fracture W.T. Becker, University of Tennessee, Emeritus; S. Lampman, ASM International Introduction FAILURE (briefly described as loss of function) occurs in multiple ways for multiple reasons and does not always result in fracture. Types of failure for which fracture does not occur are considered in other sections of this Volume, while this article introduces the section on fracture. However, it should be remembered that some nonfracture-failure scenarios may ultimately lead to fracture. Wear processes, for example, can ultimately lead to fracture by galling and/or fretting fatigue. Other examples include fatigue crack initiation at surface pits from corrosion, cyclic loading in a corrosive environment (stress-corrosion fatigue) and elastic buckling. Elastic buckling may cause parts to contact, causing seizure of a rotating system, but it may also lead to plastic buckling and ultimately to fracture. The purpose of this article is to introduce the subject of fractography and how it is used in failure analysis. Fractography is the science of revealing loading conditions and environment that caused the fracture by a threedimensional interpretation of the appearance of a broken component. If the specimen is well preserved and if the analyst is knowledgeable, the fracture appearance reveals details of the loading events that culminated in fracture. An understanding of how cracks nucleate and grow microscopically to cause bulk (macroscale) fracture is an essential part of fractography. The ability to accomplish this resides in interpretation of fracture surface features at both the micro- and macroscales. It is important that examination of the fracture surface and adjacent component surface be done starting at low magnification with sequential examination of features of interest at increasing magnification. It is only in this way that significant features are identified as to location on the macroscale fracture surface. Stated differently, potential explanations for cause for failure must be consistent with both macroscopic and microscopic features. The ultimate purpose of fractography and the other methods of failure analysis is the determination of the (technical) root cause of failure, which may arise from various conditions such as inappropriate use, an unanticipated operating environment, improper prior fabrication, improper or inadequate design, inadequate maintenance or repair, or combinations thereof. Possible root causes also include design mistakes such as inadequate stress analysis, alloy selection, improper mechanical/thermal processing, improper assembly, and failure to accommodate an adverse operating environment. Fractography provides a unique tool to determine potential causal factors such as: · Whether a material was used above its design stress · Whether the failed component had or did not have the properties assumed by the design engineer · Whether a discontinuity was critical enough to cause failure This article introduces the topic of fractography and the interpretation of fracture surfaces. The basic types of fracture processes (ductile, brittle, fatigue, and creep) are described briefly, principally in terms of fracture appearances (as sometimes affected by the microstructure). More in-depth coverage on specific types of fracture (processes such as ductile and brittle fracture, fatigue, creep, and complex environmentally assisted cracking from stress-corrosion cracking and hydrogen embrittlement) is in other articles in this Volume. Articles on the fractographic appearances of polymeric and ceramic materials are also included. Fractography of electronic components, which is addressed in detail in Ref 1, is not covered in this Volume. Tables 1 and 2 list some general types of macroscale and microscale fractographic features, which are described in more detail in this article. In summary form, the following are key features in distinguishing between montonic versus fatigue fracture and ductile versus brittle fractures (on either a macroscale or microscale): The file is downloaded from www.bzfxw.com
Monotonic versus fatigue fracture: Beach marks and striations indicate fatigue, but their absence does not confirm fracture from monotonic loads. Fracture surfaces from fatigue do not always reveal beach marks and fatigue striations Macroscale ductile versus brittle fracture: Macroscale ductile fracture is revealed by obvious changes in cross section of the fracture part and/or by shear lips on the fracture surface. Macroscale brittle ractures have fracture surfaces that are perpendicular to the applied load without evidence of prior deformation Macroscale fracture surfaces can have a mixed-mode appearance(brittle-ductile or ductile- brittle). The brittle-ductile sequence is more common on the macroscale, while the appearance of the ductile portion is typically microscale in a ductile-brittle sequence Microscale ductile versus brittle fracture: Microscale ductile fracture is uniquely characterized by dimpled fracture surfaces due to microvoid coalescence Microscale brittle fractures are characterized by either cleavage(transgranular brittle fracture)or intergranular embrittlement Table 1 Macroscale fractographic features Mark/Indication Visible distortion Plastic deformation exceeded yield strength and may indicate instability(necking, buckling)or post-faill ure damage I Visible nicks or gouges Possible crack initiation site Fracture surface orientation relative to Helps separate loading modes I, Il, Ill component geometry and loading Identifies macroscale ductile and brittle fracture. (see Fig. 2) conditions Both flat fracture and shear lips present Crack propagation direction parallel to shear lips on fracture surface Mixed-mode fracture(incomplete constraint) Tightly closed crack on surface Possible cyclic loading Possible processing imperfection, e. g, from shot peening, quench cracks Radial marks and chevrons(v-shape) Point toward crack initiation site Show crack propagation direction(see Fig. 5, 6) Crack arrest lines(monotonic loading) Lines point in direction of crack propagation (u-shape) Indicate incomplete constraint(see Fig. 15) Crack arrest lines(cyclic loading) Indicates cyclic loading (beach marks, conchoidal marks) Propagation from center of radius of curvature Curvature may reverse on cylindrical sections as crack propagates(see Fig. 40) Ratchet marks More likely in cyclic loading Indicates initiation site(s)(see Fig. 40, 41) Adjacent surface and or fracture surface May indicate corrosive environment discoloration May indicate elevated temperature Oxidized fingernail on fracture surface Possible crack initiation site Fracture surface reflectivity Matte: ductile fracture or cyclic loading Shiny: cleavage likely Faceted ("bumpy )and shiny; intergranular fracture in large grain size Fracture surface rough Increase in surface roughness in direction of crack growth
· Monotonic versus fatigue fracture: Beach marks and striations indicate fatigue, but their absence does not confirm fracture from monotonic loads. Fracture surfaces from fatigue do not always reveal beach marks and fatigue striations. · Macroscale ductile versus brittle fracture: Macroscale ductile fracture is revealed by obvious changes in cross section of the fracture part and/or by shear lips on the fracture surface. Macroscale brittle fractures have fracture surfaces that are perpendicular to the applied load without evidence of prior deformation. Macroscale fracture surfaces can have a mixed-mode appearance (brittle-ductile or ductilebrittle). The brittle-ductile sequence is more common on the macroscale, while the appearance of the ductile portion is typically microscale in a ductile-brittle sequence. · Microscale ductile versus brittle fracture: Microscale ductile fracture is uniquely characterized by dimpled fracture surfaces due to microvoid coalescence. Microscale brittle fractures are characterized by either cleavage (transgranular brittle fracture) or intergranular embrittlement. Table 1 Macroscale fractographic features Mark/Indication Implication Visible distortion Plastic deformation exceeded yield strength and may indicate instability (necking, buckling) or post-failure damage Visible nicks or gouges Possible crack initiation site Fracture surface orientation relative to component geometry and loading conditions · Helps separate loading modes I, II, III · Identifies macroscale ductile and brittle fracture. (see Fig. 2) Both flat fracture and shear lips present on fracture surface · Crack propagation direction parallel to shear lips · Mixed-mode fracture (incomplete constraint) Tightly closed crack on surface · Possible cyclic loading · Possible processing imperfection, e.g., from shot peening, quench cracks Radial marks and chevrons (v-shape) · Point toward crack initiation site · Show crack propagation direction (see Fig. 5 , 6) Crack arrest lines (monotonic loading) (u-shape) · Lines point in direction of crack propagation · Indicate incomplete constraint (see Fig. 15) Crack arrest lines (cyclic loading) (beach marks, conchoidal marks) · Indicates cyclic loading · Propagation from center of radius of curvature · Curvature may reverse on cylindrical sections as crack propagates (see Fig. 40) Ratchet marks · More likely in cyclic loading · Indicates initiation site(s) (see Fig. 40 , 41) Adjacent surface and or fracture surface discoloration · May indicate corrosive environment · May indicate elevated temperature Oxidized fingernail on fracture surface Possible crack initiation site Fracture surface reflectivity · Matte: ductile fracture or cyclic loading · Shiny: cleavage likely · Faceted (“bumpy”) and shiny; intergranular fracture in large grain size Fracture surface roughness · Increase in surface roughness in direction of crack growth
may be affected in bending by compressive stressed region when crack moves into this region Smooth region plus rough region in direction of growth- cyclic loading Rough matte fractures are ductile May indicate transition from fatigue crack growth t Rubbing(general) May indicate vibration May show final direction of separation Swirl pattern indicates torsion Rubbing (localized) indicate crack closure in cyclic loading obliterate beach marks Deformed draw marks, rolling scratches If twisted, indicates torsion loading Machining marks(normal to axis of Not distorted in torsion loading component) Variable roughness of fracture edge In brittle bending. rough side is tension side Table 2 Microscale fractography features Mark/Indication Implication Dimpled fracture surface Ductile overload fracture at this location Faceted fracture surface Brittle cleavage fracture Possible scc fracture May be low△ K fatigue Intergranular with smooth Likely either improper thermal processing or environmental assisted grain boundaries fracture(high temperature, corrosive environment) Less common is low ak fatigue Intergranular with Decohesive rupture--fracture at high fraction of melting point dimpled grain boundaries Possible improper processing creating denuded zone adjacent to grain boundary River pattern or fan Cleavage fracture; crack runs"down"river fan rays point to initiation site attern within a grain(see Fig. 10) Tongues i Twinning deformation during rapid crack propagation(see Fig. 28) Flutes on transgranular Indicates corrosive environment and ductile fracture fracture surface Crack propagates parallel to flutes Striated or ridged fracture Cyclic loading fatigue striations; Constant spacing, constant stress amplitude; variable spacing, variable stress amplitude or block loading (see Fig. 52 Striated surface caused by second phases in microstructure(see Fig 51) Grooves or flutes SCC TGF Artifacts(mud cracks) Dried liquid on surface May indicate incomplete cleaning of surface. If in the as-received condition, may indicate fluids from service and may indicate scc Thefileisdownloadedfromwww.bzfxw.com
(may be affected in bending by compressive stressed region when crack moves into this region) · Smooth region plus rough region in direction of growth— cyclic loading · Rough matte fractures are ductile · May indicate transition from fatigue crack growth to overload Rubbing (general) · May indicate vibration · May show final direction of separation · Swirl pattern indicates torsion Rubbing (localized) · May indicate crack closure in cyclic loading · May obliterate beach marks Deformed draw marks, rolling scratches If twisted, indicates torsion loading Machining marks (normal to axis of component) Not distorted in torsion loading Variable roughness of fracture edge In brittle bending, rough side is tension side Table 2 Microscale fractography features Mark/Indication Implication Dimpled fracture surface Ductile overload fracture at this location Faceted fracture surface · Brittle cleavage fracture · Possible SCC fracture · May be low ΔK fatigue Intergranular with smooth grain boundaries · Likely either improper thermal processing or environmental assisted fracture (high temperature, corrosive environment) · Less common is low ΔK fatigue Intergranular with dimpled grain boundaries · “Decohesive rupture—fracture at high fraction of melting point · Possible improper processing creating denuded zone adjacent to grain boundary River pattern or fan pattern Cleavage fracture; crack runs “down” river; fan rays point to initiation site within a grain (see Fig. 10) Tongues Twinning deformation during rapid crack propagation (see Fig. 28) Flutes on transgranular fracture surface · Indicates corrosive environment and ductile fracture · Crack propagates parallel to flutes Striated or ridged fracture · Cyclic loading fatigue striations; Constant spacing, constant stress amplitude; variable spacing, variable stress amplitude or block loading (see Fig. 52) · Striated surface caused by second phases in microstructure (see Fig. 51) Grooves or flutes · SCC · TGF Artifacts (mud cracks) Dried liquid on surface. May indicate incomplete cleaning of surface. If in the as-received condition, may indicate fluids from service and may indicate SCC The file is downloaded from www.bzfxw.com
conditions. Material should be analyzed (see Fig. ID) Artifacts(tire tracks) Common in cyclic loading Due to entrapped particulate matter Reference cited in this section Microelectronic Failure Analysis Desk Reference, 4th ed, R.J. Ross and C. Boit, Ed, ASM International. 1999 Fracture Appearance and Mechanisms of Deformation and fracture W.T. Becker, University of Tennessee, Emeritus; S. Lampman, ASM International General Background on Fractography Fractography is an active research area and has benefited from a closely related interest in quantitative assessment of load carrying capability as predicted by fracture mechanics(and vice versa). The coupling probably first became obvious when Griffith's model for brittle fracture was applied to the study of cleavage fracture in metallic materials in 1954. It was then realized that cleavage fracture in crystalline materials could not be based simply on a normal stress criterion(e.g, see Honeycombe(Ref 2) Many new tools and techniques for studying fracture surfaces have become available and made possible a more omplete understanding of fracture processes. A 1948 fracture text and symposium(Ref 3) focused heavily on macroscale phenomenological mechanics and multiaxial"failure"surfaces. An important conference on fracture held in 1959(Ref 4) included no fractographs using an electron beam for illumination. A subsequently published conference proceedings on fracture in 1962(Ref 5)contained only a few electron fractographs The rapid development of both the transmission electron microscope(TEM) and soon after, the scanning electron microscope(SEM)during the 1960s provided new and very powerful tools to examine fracture surfaces with significantly improved resolution and depth of field. The TEM was available first, and most of the early fractographs were obtained with the TEM. These replicas are reversed images of the fracture surface. The differences in appearance between fractographs obtained from replicas and by direct observation can also be striking. Because of the early use of the TEM in microfractography, a substantial amount of fractographic images via TEM replicas have been published. In 1966, for example, Cedric Beachem published the results of an extensive study of fractographic features and interpretation at the Naval Research Laboratory(Ref 6). This report also contains a detailed discussion of artifacts that can be created by replication of the fracture surface and handling of the replie Reference 6 was soon followed by an ASTM Symposium on Electron Fractography in 1967(Ref 7). At essentially the same time, La Microfractographie was published in France(Ref 8). In 1971, a second ASTM book(Ref 9)was published, followed in 1975 by second major compilation of fractographic information(Ref 10), which contained extensive direct SEM images of the fracture surface. The use of sEM had advantages over TEM. The availability of the SEM obviated the necessity of replicating the fracture surface for examination and also provided the capability to examine larger areas of the fracture surface but at decreased resolution. The ability to place large sections in the microscope is of considerable importance, because incomplete examination of the fracture surface may result in not obtaining critical information. The correct procedure is to document the fracture surface in a series of photographs obtained at increasing magnification, each time indicating the region of the higher magnification in the previous photograph. This is not easy to do using the TEM for examination due to the size limitation of the replica(approximately 3. 2 to 6.4 mm, or to in., in diameter) Since the 1970s, the sem has become the most common instrument of use for high-magnification examination of the fracture surface today(variable pressure SEM for polymeric materials). Optical light fractography is still
conditions. Material should be analyzed (see Fig. 11) Artifacts (tire tracks) · Common in cyclic loading · Due to entrapped particulate matter Reference cited in this section 1. Microelectronic Failure Analysis Desk Reference, 4th ed., R.J. Ross and C. Boit, Ed., ASM International, 1999 Fracture Appearance and Mechanisms of Deformation and Fracture W.T. Becker, University of Tennessee, Emeritus; S. Lampman, ASM International General Background on Fractography Fractography is an active research area and has benefited from a closely related interest in quantitative assessment of load carrying capability as predicted by fracture mechanics (and vice versa). The coupling probably first became obvious when Griffith's model for brittle fracture was applied to the study of cleavage fracture in metallic materials in 1954. It was then realized that cleavage fracture in crystalline materials could not be based simply on a normal stress criterion (e.g., see Honeycombe (Ref 2). Many new tools and techniques for studying fracture surfaces have become available and made possible a more complete understanding of fracture processes. A 1948 fracture text and symposium (Ref 3) focused heavily on macroscale phenomenological mechanics and multiaxial “failure” surfaces. An important conference on fracture held in 1959 (Ref 4) included no fractographs using an electron beam for illumination. A subsequently published conference proceedings on fracture in 1962 (Ref 5) contained only a few electron fractographs. The rapid development of both the transmission electron microscope (TEM) and soon after, the scanning electron microscope (SEM) during the 1960s provided new and very powerful tools to examine fracture surfaces with significantly improved resolution and depth of field. The TEM was available first, and most of the early fractographs were obtained with the TEM. These replicas are reversed images of the fracture surface. The differences in appearance between fractographs obtained from replicas and by direct observation can also be striking. Because of the early use of the TEM in microfractography, a substantial amount of fractographic images via TEM replicas have been published. In 1966, for example, Cedric Beachem published the results of an extensive study of fractographic features and interpretation at the Naval Research Laboratory (Ref 6). This report also contains a detailed discussion of artifacts that can be created by replication of the fracture surface and handling of the replica. Reference 6 was soon followed by an ASTM Symposium on Electron Fractography in 1967 (Ref 7). At essentially the same time, La Microfractographie was published in France (Ref 8). In 1971, a second ASTM book (Ref 9) was published, followed in 1975 by second major compilation of fractographic information (Ref 10), which contained extensive direct SEM images of the fracture surface. The use of SEM had advantages over TEM. The availability of the SEM obviated the necessity of replicating the fracture surface for examination and also provided the capability to examine larger areas of the fracture surface but at decreased resolution. The ability to place large sections in the microscope is of considerable importance, because incomplete examination of the fracture surface may result in not obtaining critical information. The correct procedure is to document the fracture surface in a series of photographs obtained at increasing magnification, each time indicating the region of the higher magnification in the previous photograph. This is not easy to do using the TEM for examination due to the size limitation of the replica (approximately 3.2 to 6.4 mm, or 1 8 to 1 4 in., in diameter.) Since the 1970s, the SEM has become the most common instrument of use for high-magnification examination of the fracture surface today (variable pressure SEM for polymeric materials). Optical light fractography is still
used today for examination of glasses, but the common tool of choice for metallic materials is the SEM, in part because of the increased depth of field and higher magnification. Although optical light fractography produces important information regarding fracture surface features, the ability to examine detail on the fracture surface is limited by a maximum magnification of 1000 to 1500 diameters, small depth of field, and limited resolution In some ways, ready availability of the SEM also has limited detailed examination by TEM, because of the ability to place large sections in the microscope for examination in conjunction with reasonably high resolution and without the difficulties in preparing and using fracture surface replicas. However the higher resolution of the tem still remains the tool of choice for examination of fine detail on fracture surfaces and to obtain a more complete understanding of fracture processes such as cleavage(Ref 11). Nonetheless, it is still important to remember that the higher resolution capability of the teM does not guarantee better understanding. It is the self-consistent data gathered over a range of magnifications that provides understanding Additional tools and techniques also have become available, including energy dispersive x-ray spectroscopy (EDS or WDS), the Auger microscope, the variable-pressure SEM, the atomic-force microscope and others These tools have made possible answers to several long-standing questions of importance, such as an improved understanding of temper embrittlement in steels. Advancement in the quantitative understanding of fracture also continues. For example, two relatively recent symposia on fracture in 1996 and 1997(Ref 12 and 13 demonstrate the continued close coupling between fracture mechanics, macroscopic and microscopic continuum mechanics, finite element analysis, dislocation theory, and fractography. Better quantitative understanding of fracture progression and of its microscale appearance and mechanism facilitate potential caling to fabricated engineering components Several compilations of fractographic information(albeit dated in some instances) are also available for metals, polymers, ceramics, and composites. Examples include Ref 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 References 14 and 18 contain polymers. References 15, 16, 17, 18, 19, 20, 21, 22, 23, 24(including fractography, Volume 12 of ASM Handbook) contain metals, and Ref 18 contains composites. Although not an atlas of fractographs, another text(Ref 25) contains several fractographs of metals, polymers, ceramics, and composites, as well as discussion of the relationship between microstructure and fractographic appearance References cited in this section 2. R.W. Honeycombe, The Plastic Deformation of Metals, Edward Arnold and ASM, 1984 3. Fracturing in Metals, American Society for Metals, 1948 Fracture, B L. Averbach, D K. Fellbeck, G.T. Hahn, and D A. Thomas, Ed, John Wiley, New York, 1959 5. Fracture of solids, D. C. Drucker and J.J. Gilman, Ed, Gordon and Breach Science Publishers, 1962 6. C D. Beachem, Interpretation of Electron Microscope fractographs, NRL Report 6360, U.S. Naval Research Laboratory, Washington, D. C, 21 Jan 1966 7. Electron Fractography, STP 436, ASTM, 1968 8. G. Henry and J. Plateau, La Microfractographie, Institut de recherches de siderugie Francais, 1967 9. Application of Electron Microfractography to Materials Research, STP 493, ASTM, 1971 10. Fractography, Microscopic Cracking Processes, STP 600, C D Beachem and W.R. Warke, Ed ASTM 1976 11. D. Hull, Fractography, Cambridge University Press, 1999 12. Cleavage fracture. K.S. Chan. Ed.. TMS 1996 Thefileisdownloadedfromwww.bzfxw.com
used today for examination of glasses, but the common tool of choice for metallic materials is the SEM, in part because of the increased depth of field and higher magnification. Although optical light fractography produces important information regarding fracture surface features, the ability to examine detail on the fracture surface is limited by a maximum magnification of 1000 to 1500 diameters, small depth of field, and limited resolution. In some ways, ready availability of the SEM also has limited detailed examination by TEM, because of the ability to place large sections in the microscope for examination in conjunction with reasonably high resolution and without the difficulties in preparing and using fracture surface replicas. However the higher resolution of the TEM still remains the tool of choice for examination of fine detail on fracture surfaces and to obtain a more complete understanding of fracture processes such as cleavage (Ref 11). Nonetheless, it is still important to remember that the higher resolution capability of the TEM does not guarantee better understanding. It is the self-consistent data gathered over a range of magnifications that provides understanding. Additional tools and techniques also have become available, including energy dispersive x-ray spectroscopy (EDS or WDS), the Auger microscope, the variable-pressure SEM, the atomic-force microscope and others. These tools have made possible answers to several long-standing questions of importance, such as an improved understanding of temper embrittlement in steels. Advancement in the quantitative understanding of fracture also continues. For example, two relatively recent symposia on fracture in 1996 and 1997 (Ref 12 and 13) demonstrate the continued close coupling between fracture mechanics, macroscopic and microscopic continuum mechanics, finite element analysis, dislocation theory, and fractography. Better quantitative understanding of fracture progression and of its microscale appearance and mechanism facilitate potential scaling to fabricated engineering components. Several compilations of fractographic information (albeit dated in some instances) are also available for metals, polymers, ceramics, and composites. Examples include Ref 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24. References 14 and 18 contain polymers. References 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 (including Fractography, Volume 12 of ASM Handbook) contain metals, and Ref 18 contains composites. Although not an atlas of fractographs, another text (Ref 25) contains several fractographs of metals, polymers, ceramics, and composites, as well as discussion of the relationship between microstructure and fractographic appearance. References cited in this section 2. R.W. Honeycombe, The Plastic Deformation of Metals, Edward Arnold and ASM, 1984 3. Fracturing in Metals, American Society for Metals, 1948 4. Fracture, B.L. Averbach, D.K. Fellbeck, G.T. Hahn, and D.A. Thomas, Ed., John Wiley, New York, 1959 5. Fracture of Solids, D.C. Drucker and J.J. Gilman, Ed., Gordon and Breach Science Publishers, 1962 6. C.D. Beachem, Interpretation of Electron Microscope Fractographs, NRL Report 6360, U.S. Naval Research Laboratory, Washington, D.C., 21 Jan 1966 7. Electron Fractography, STP 436, ASTM, 1968 8. G. Henry and J. Plateau, La Microfractographie, Institut de Recherches de Siderugie Francais, 1967 9. Application of Electron Microfractography to Materials Research, STP 493, ASTM, 1971 10. Fractography, Microscopic Cracking Processes, STP 600, C.D. Beachem and W.R. Warke, Ed. ASTM, 1976 11. D. Hull, Fractography, Cambridge University Press, 1999 12. Cleavage Fracture, K.S. Chan, Ed., TMS, 1996 The file is downloaded from www.bzfxw.com