{"title":"APPROXIMATION OF THE POLE FIGURES AND THE ORIENTATION OF DISTRIBUTION OF GRAINS IN POLYCRYSTALLINE SAMPLES BY MEANS OF CANONICAL NORMAL DISTRIBUTIONS","authors":"T. Savyolova","doi":"10.1155/TSM.22.17","DOIUrl":"https://doi.org/10.1155/TSM.22.17","url":null,"abstract":"The orientation distribution function (ODF) as determined from experimental pole figures (PF) in a polycrystalline sample by classical spherical harmonics analysis can have ghost effects and regions of negative values. The regions of negative values and the ghosts are a consequence of the loss of information on the \"odd\" part of ODF. In the present paper the canonical normal distributions (CND) on the rotation group SO(3) and on the sphere S in R used in texture analysis are discussed. The examples ofCND on SO(3), S and their PF calculated for hexagonal lattice symmetry and for a rolling texture of beryllium are demonstrated.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116615536","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":"Transformation Texture Analysis of BCC and BCT Ferrous Martensite","authors":"H. Miyaji, E. Furubayashi","doi":"10.1155/TSM.22.43","DOIUrl":"https://doi.org/10.1155/TSM.22.43","url":null,"abstract":"The theoretical prediction of transformation textures, that developed in thin sheet without external stress, \u0000was carried out based on the Bain-Strain and Twinning-Shear model, respectively. To examine the \u0000validity of the prediction, the experiments were conducted with X-ray pole figure method on Fe-30Ni \u0000and Fe-30Ni-0.8C alloy sheets. The results obtained are as follows:","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129785954","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":"Continuous and Discrete Representations of an Iterative Reproduction Method","authors":"J. Imhof","doi":"10.1155/TSM.8-9.79","DOIUrl":"https://doi.org/10.1155/TSM.8-9.79","url":null,"abstract":"General formulae are obtained for iterative reproduction of the distribution of \u0000orientations from both unreduced and reduced pole-figures. The most correct \u0000representation of them is the continuous one realized by the Bunge–Roe formalism. \u0000The discrete representations are always connected with the additional assumption \u0000that the texture function is considered to be constant inside the subsets of orientation \u0000space. One of the discrete representations contains the elements of the elementary \u0000pole-figures of the vector method.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124648821","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":"Plastic Anisotropy Prediction by Ultrasonic Texture Data","authors":"V. Serebryany","doi":"10.1155/TSM.25.223","DOIUrl":"https://doi.org/10.1155/TSM.25.223","url":null,"abstract":"The plastic anisotropy parameters (R coefficient and height of ears of the drawn cup) have been \u0000calculated from ultrasonic orientation distribution function (ODF) coefficients on the basis of Taylor \u0000theory for low carbon steel and aluminium alloy sheets. The ODF coefficients were defined by Sayers \u0000method and using the iterative procedure on the basis of measurement of bulk longitudinal and shear \u0000wave time delays.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129441566","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":"r-Dependence in Two-Point Orientation Coherence Functions","authors":"P. R. Morris","doi":"10.1155/TSM.34.233","DOIUrl":"https://doi.org/10.1155/TSM.34.233","url":null,"abstract":"Functions are derived, which are orthonormal on the range r=0, 1, with weight function \u0000corresponding to the distribution of r in a typical experimental procedure for measurement \u0000of the two-point orientation–coherence (or orientation–correlation) function. \u0000These are obtained by making an appropriate change of variable in spherical Bessel \u0000functions, orthonormal on the range r=0, 1, with unit weight function. The effects of \u0000weight function and change of variable on the functions are considered.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130349613","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":"Influence of Subsurface Layers on Goss-TextureDevelopment in Secondary Recrystallization of RGO Electrical Steel Sheet","authors":"A. Börttcher, M. Hastenrath, K. Lücke","doi":"10.1155/TSM.14-18.799","DOIUrl":"https://doi.org/10.1155/TSM.14-18.799","url":null,"abstract":"Regular grain oriented (RGO) electrical steel sheet used for power transformer \u0000cores is produced by a two stage cold rolling process with intermediate annealing \u0000and a subsequent decarburizing primary recrystallization. Its beneficial magnetic \u0000properties originate from a sharp Goss-texture developed by the following secondary \u0000recrystallization. By controlled thinning of the material the sharpness of this \u0000Goss-texture will be shown to strongly depend on texture and structure of the \u0000subsurface layers of the sheet. A less intense secondary recrystallization with \u0000deteriorated Goss-texture sharpness and magnetic properties was found if a \u0000critical surface layer was removed from both sides of the sheet at any processing \u0000step, but no such effect occurred after single-sided surface removal. This result led \u0000to a new interpretation of the model of \"texture inheritance\".","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130593213","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":"The Incorporation of Texture-Based Yield Loci Into Elasto-Plastic Finite Element Programs","authors":"P. Houtte, A. Bael, J. Winters","doi":"10.1155/TSM.24.255","DOIUrl":"https://doi.org/10.1155/TSM.24.255","url":null,"abstract":"Elasto-plastic finite elements (FE) methods are nowadays widely used to simulate complex metal forming processes. It is then useful to generate an anisotropic yield criterion from the crystallographic texture and incorporate it into such model. The theory of dual plastic potentials (one in strain rate space and one in stress space) helps to achieve this. There is however a certain danger of losing the convexity of the yield locus during this procedure. Examples of this phenomenon are given and discussed. It is furthermore explained how the yield locus can be used to generate an elasto-plastic modulus for implementation in the FE code. Finally several examples of successful applications of the anisotropic FE code to metal forming problems are given.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123639396","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":"Origins of Misorientation Texture (Mesotexture)","authors":"V. Randlè","doi":"10.1155/TSM.14-18.745","DOIUrl":"https://doi.org/10.1155/TSM.14-18.745","url":null,"abstract":"Characteristics of the misorientations between grains - \"mesotexture\" - are discussed. It is shown that \u0000a computer simulation approach is a useful way to probe both the relationship between microtexture and mesotexture \u0000and the form of the mesotexture.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121417010","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":"QUANTITATIVE ANALYSIS OF THE MISORIENTATION DISTRIBUTION AFTER THE RECRYSTALLISATION OF TENSILE DEFORMED COPPER SINGLE CRYSTALS","authors":"F. Haessner, K. Sztwiertnia, P. Wilbrandt","doi":"10.1155/TSM.13.213","DOIUrl":"https://doi.org/10.1155/TSM.13.213","url":null,"abstract":"Recrystallisation experiments in tensile deformed 〈100〉- and 〈111〉-oriented single crystals of high \u0000purity copper yielded very accurate information about the orientations of recrystallised grains and \u0000deformation microstructure. For a statistical evaluation of the orientation relationships between the \u0000dominant recrystallised grains and the deformation microstructure the misorientation distribution \u0000function was calculated. The most frequently occurring orientation relationships can be described by \u0000coincidence relationships. Always several coincidence relationships are needed to characterise the \u0000results. The specimen treatment strongly influences the occurrence of the individual coincidence \u0000orientation relationships. A particularly preferred growth of grains with a 30° or 40° 〈111〉 orientation \u0000relationship was not observed.","PeriodicalId":413822,"journal":{"name":"Texture, Stress, and Microstructure","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116513500","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}