{"title":"Nucleation and growth of deformation twins: A perspective based on the double-cross-slip mechanism of deformation twinning","authors":"K. Lagerlöf, J. Castaing, P. Pirouz, A. Heuer","doi":"10.1080/01418610208240069","DOIUrl":"https://doi.org/10.1080/01418610208240069","url":null,"abstract":"Abstract The nucleation and growth of deformation twins are discussed, assuming that twinning occurs via the double-cross-slip mechanism first postulated by Pirouz for twinning in silicon. The dislocation energetics in this model are described in detail. In all cases, dislocation dissociation occurs and gives rise to a stationary partial and a twinning partial; twin growth involves the twinning partial undergoing double cross-slip. We discuss three specific geometries: firstly, the dissociation of a perfect dislocation into three collinear partials of equal Burgers vectors, which describes basal twinning in sapphire and twinning in bcc metals; secondly, the dissociation of a perfect dislocation into two collinear partials with different Burgers vectors, which describes rhombohedral twinning in sapphire; thirdly, the dissociation of a perfect dislocation into two non-collinear Shockley partials, which is used to describe twinning in silicon. Finally, the double-cross-slip mechanism readily explains the formation of emissary dislocations at the twin-matrix interface of deformation twins in bcc metals.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124720872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Anish Kumar, V. Shankar, T. Jayakumar, K. Bhanu Sankara Rao, B. Raj
{"title":"Correlation of microstructure and mechanical properties with ultrasonic velocity in the Ni-based superalloy Inconel 625","authors":"Anish Kumar, V. Shankar, T. Jayakumar, K. Bhanu Sankara Rao, B. Raj","doi":"10.1080/01418610208240051","DOIUrl":"https://doi.org/10.1080/01418610208240051","url":null,"abstract":"Abstract Inconel 625 tubes are used extensively in ammonia cracker units of heavy-water plants. During service, the alloy is exposed to temperature close to 873 K for a prolonged period (about 60 000 h), leading to substantial decrease in ductility and toughness of the alloy due to heavy intragranular and intergranular precipitation. Service-exposed Inconel 625 material (873 K for about 60 000 h) was given post-service ageing treatments at different temperatures (923, 1023 and 1123K) up to 500 h. These heat treatments altered the microstructure, which in turn had an influence upon both the tensile properties and the ultrasonic velocity. The alloy that had seen service was solution annealed at 1423 K for 0.5 h followed by ageing at different temperatures (923 and 1123 K) and the influence of these heat treatments on changes in microstructures and in turn their effect on room-temperature tensile properties and ultrasonic velocity have been studied. The present study aims at establishing the correlation between room-temperature tensile properties and ultrasonic velocity with the microstructural changes that occurred during ageing treatments in Ni-based superalloy Inconel 625. For the first time, the present authors have demonstrated the influence of various precipitates, such as intermetallic phases γ″, Ni2(Cr, Mo) and δ, and grain-boundary carbides, on the correlation of yield strength and ultrasonic velocity.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"175 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124212732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Modelling grain-boundary resistance in intergranular dislocation slip transmission","authors":"M. Koning, R. Miller, V. Bulatov, F. F. Abraham","doi":"10.1080/01418610208240050","DOIUrl":"https://doi.org/10.1080/01418610208240050","url":null,"abstract":"Abstract We investigate the resistance on the glide of lattice dislocations between adjacent crystal grains due to the presence of a grain boundary (GB). Applying a combination of molecular dynamics (MD) simulations and a line tension (LT) model we identify the geometrical parameters that are relevant in the description of this process. In the MD simulations we observe slip transmission of dislocation loops nucleated from a crack tip near a series of pure tilt GBs in Ni. The results are rationalized in terms of a LT model for the activation of a Frank-Read source in the presence of a GB. It is found that the slip transmission resistance is a function of only three variables: firstly, the ratio of resolved stress on the incoming slip system to that on the outgoing slip system, secondly, the magnitude of any residual Burgers vector content left in the GB and, thirdly, the angle between the traces of the incoming and outgoing slip planes in the GB plane. Comparison with the MD simulations and experimental data shows that the LT model captures the essential energetics of slip transmission and suggests relatively simple functional relationships between the GB geometry and loading conditions on the one hand and slip transmission resistance on the other.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116577817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nanometre-scale defects in shear bands in a metallic glass","authors":"Jing Li, F. Spaepen, T. Hufnagel","doi":"10.1080/01418610208240056","DOIUrl":"https://doi.org/10.1080/01418610208240056","url":null,"abstract":"Abstract We have compared the structure of shear bands with that of undeformed regions of a metallic glass. Using quantitative high-resolution electron microscopy, we observed void-like defects, approximately 1 nm in diameter and at a concentration of one in 100nm3, which are generated as a result of plastic deformation in the shear bands. These defects may result from the coalescence of excess free volume upon cessation of the flow. By comparing the free energy of the shear band containing uniformly distributed free volume with that of the relaxed shear band with voids present, we show that the coalescence is thermo-dynamically possible.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134421461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Assessing the mechanical strength of interfacial atomic bonds by quantitative high-resolution transmission electron microscopy","authors":"F. Ernst","doi":"10.1080/01418610208240060","DOIUrl":"https://doi.org/10.1080/01418610208240060","url":null,"abstract":"Abstract A method is presented for quantitatively assessing the strength of interatomic bonding forces across interfaces between two dissimilar crystalline materials. At such interfaces, the mismatch of corresponding lattice parameters gives rise to a periodic pattern of linear regions of poor match, denoted as ‘misfit dislocations’. The atom displacements that occur in these regions constitute an ‘image’ of the bonding forces across the interface. By fitting a model of the displacement field to experimentally determined atom positions at misfit dislocation cores, therefore, it should be possible to assess the mechanical strength of the interatomic bonds across the interface. The feasibility of this approach is demonstrated for the cube-on-cube interface between a SrTiO3(001) substrate and an epitaxial layer of SrZrO3. The atom positions at the misfit dislocations in this interface were determined with small error limits (0.03 nm) by quantitative high-resolution transmission electron microscopy. By fitting a continuum model describing the displacement field of misfit dislocations as a function of elasticity parameters of the interfacial bond layer and the two juxtaposed crystals, it is possible to determine the shear stiffness of the interatomic bonds across this interface quantitatively and with well-defined error limits (30%). Moreover, the analysis enables determining Poisson's ratio and the shear modulus of epitaxial layers, in this case SrZrO3. The method introduced here has a broad range of applications.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129017675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Dendievel, J. Blandin, Marc Fivel, M. Audier, M. Duneau
{"title":"Mechanical properties of composites with an icosahedral fibre packing reinforcement","authors":"R. Dendievel, J. Blandin, Marc Fivel, M. Audier, M. Duneau","doi":"10.1080/01418610208240057","DOIUrl":"https://doi.org/10.1080/01418610208240057","url":null,"abstract":"Abstract Continuous fibre composites exhibit an elastically isotropic behaviour when the fibres are aligned along six directions, each one being a fivefold symmetry axis. The elastic properties of such quasiperiodic packings are theoretically derived and compared with various periodic packings. Practical rules of construction of such composites are presented. They are used in the elaboration of cubic samples with steel fibres embedded in a polymeric matrix. Compression tests are carried out, but the expected isotropic elastic properties are not measured. Numerical simulations confirm that this apparent anisotropy is related to the shape of the samples and that isotropy is expected with spherical samples. Finally, the effect of the fibre interactions is also investigated.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116384884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
B. Fruhstorfer, V. Mohles, R. Reichelt, E. Nembach
{"title":"Quantitative characterization of second-phase particles by atomic force microscopy and scanning electron microscopy","authors":"B. Fruhstorfer, V. Mohles, R. Reichelt, E. Nembach","doi":"10.1080/01418610208240053","DOIUrl":"https://doi.org/10.1080/01418610208240053","url":null,"abstract":"Abstract It is demonstrated that the surface analysing methods atomic force microscopy (AFM) and scanning electron microscopy (SEM) can be used to determine accurately the average radius r and the volume fraction f of fine (r ≈ 100nm) spherical particles of secondary phases. Moreover the distribution function of the radii of individual particles can be accurately established by AFM and SEM. This has been exemplified for γ′-precipitates in the commercial nickel-based superalloy Nimonic PE16. AFM images have to be corrected for two effects: firstly, for the finite size of the tip and, secondly, for the attack of the γ′ particles by the polishing agent. Owing to this latter effect the radii of curvature of the caps of the γ′ particles protruding from the surface of the specimen differ from the true radii of the γ′ particles. The results for f and r obtained by AFM and SEM are in excellent agreement with those gained by transmission electron microscopy.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"305 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115445265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-isothermal precipitate growth and the principle of additivity","authors":"M. W. Nordbakke, N. Ryum, O. Hunderi","doi":"10.1080/01418610208240061","DOIUrl":"https://doi.org/10.1080/01418610208240061","url":null,"abstract":"Abstract A theory of diffusion-controlled growth and dissolution of precipitates in binary alloys, taking account of temperature variations, is proposed. Analytical solutions are derived for planar and spherical interfaces by a method which assumes chemical equilibrium to prevail at the moving interface. The diffusion equations are solved by using the stationary-interface approximation, which restricts the concentration field to have no memory of the past motion of the interface. Predictions of growth and dissolution rates for plate-shaped and spherical particles are formulated and compared using data from the Al-Si equilibrium phase diagram. Solutions by analytical methods are compared with results obtained more easily by using the additivity rule. Conditions for additivity are discussed on the basis of numerical examples. Since the exact moving-boundary solution is unknown, the validity of the stationary-interface approximation could not be discussed. However, isothermal results imply that this approximation is reasonable when precipitates with relatively high concentrations are growing or shrinking in dilute solutions.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124776373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Muraishi, N. Niwa, A. Maekawa, S. Kumai, A. Sato
{"title":"Strengthening of Al-Cu single crystals by stress-oriented Guinier-Preston zones","authors":"S. Muraishi, N. Niwa, A. Maekawa, S. Kumai, A. Sato","doi":"10.1080/01418610208240064","DOIUrl":"https://doi.org/10.1080/01418610208240064","url":null,"abstract":"Abstract The strengthening of Al-Cu is examined after introducing Guinier-Preston (GP) zones on particular cube planes by stress ageing. A compressive stress applied during an early stage of ageing promotes formation of the platelet precipitates on the cube planes subjected to the largest normal stress. Selection of a stress axis in the compression tests after the stress ageing enables one to change the slip system geometry with respect to these platelet obstacles. It is shown that the GP zones cut by moving dislocations contribute to the strengthening at low temperatures, accompanying strong orientation dependence. The origin of the strengthening is discussed on the basis of the thermal and athermal nature of the dislocation interaction with the stress-oriented planar GP zones.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127416294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical calculation of the strain field of single and periodic misfitting polygonal wires in a half-space","authors":"F. Glas","doi":"10.1080/01418610208240054","DOIUrl":"https://doi.org/10.1080/01418610208240054","url":null,"abstract":"Abstract We calculate analytically the strain field induced by the coherent elastic relaxation of misfitting wires having an arbitrary polygonal section and buried in a half-space, assuming linear isotropic elasticity. The calculation applies in particular to semiconductor quantum wires both during and after epitaxial growth, and more generally to any polygonal wire or fibre lying close to a planar free surface. Our closed-form solutions apply both to isolated wires and to infinite periodic arrays of wires parallel to the free surface. Simple formulae are given for wires with trapezoidal and right-angled triangular sections and for semi-infinite slabs with vertical or oblique terminating facets. The calculations are illustrated in the important case of trapezoidal wires. In particular, we evaluate the effect of close and distant wires upon the strain in the vicinity of a given wire and show that the shape of the wire section has a substantial effect on the morphology and magnitude of the strain field.","PeriodicalId":114492,"journal":{"name":"Philosophical Magazine A","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125599784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}