Article
Materials Science, Multidisciplinary
Jun Liu, Claire Davis
Summary: A finite element microstructure model based on magnetic domain theory has been developed to evaluate magnetic anisotropy in polycrystalline steels, considering crystallographic texture and grain size. The model accurately captures the effects of crystallographic texture, grain size, and vector induction on effective permeability behaviors. Predicted magnetic properties allow for quantitative characterization of magnetic anisotropy, while effective permeability maps visually indicate crystallographic texture from magnetic values. These features have been experimentally validated against commercial grain oriented electrical steel with strong texture and magnetic anisotropy.
PHILOSOPHICAL MAGAZINE
(2021)
Article
Chemistry, Physical
M. L. Lobanov, M. A. Zorina, P. L. Reznik, V. I. Pastukhov, A. A. Redikultsev, S. V. Danilov
Summary: The crystallographic features of body-centered cubic to face-centered cubic transformation in extruded brass product were studied using X-ray phase analysis, scanning electron microscopy with electron microprobe analysis, and orientation microscopy. The integral textures of phases within the product were axial with axes parallel to the elongation direction in extrusion, while local textures of phases were described as limited and consisting of a set of components. The components of local textures of the beta'- and alpha-phases were associated by orientation relationships close to Kurdjumov-Sachs orientation relationships.
JOURNAL OF ALLOYS AND COMPOUNDS
(2021)
Article
Multidisciplinary Sciences
Enrico De Micheli
Summary: This paper proves that the Legendre coefficients of an integrable function f(x) are equal to the Fourier coefficients with a nonnegative index of a suitable Abel-type transform of the function itself. The computation of N Legendre coefficients can be efficiently carried out using a single fast Fourier transform of the Abel-type transform of f(x), with a complexity of O(NlogN) operations. The symmetries associated with the Abel-type transform are utilized to further reduce the computational complexity. The paper also discusses the dual problem of calculating the sum of Legendre expansions at a prescribed set of points, and presents an efficient algorithm based on the fact that a Legendre series can be written as the Abel transform of a suitable Fourier series. Numerical tests are provided to illustrate and confirm the theoretical results.
Article
Materials Science, Multidisciplinary
Chengyi Yu, Kun Lin, Yili Cao, Wenjie Li, Yan Chen, Ke An, Chin-Wei Wang, Kenichi Kato, Qiang Li, Jinxia Deng, Xianran Xing
Summary: In this work, a route to achieving two-dimensional zero thermal expansion (ZTE) behavior in volumetric positive thermal expansion alloys is reported. The ZTE behavior is strongly coupled with fiber crystallographic texture and magnetic moment at the crystallographic 6g site. This approach can be used to extend the scope of ZTE/NTE species in other magnetic or ferroelectric materials.
SCIENCE CHINA-MATERIALS
(2022)
Article
Polymer Science
Sahitya Movva, Reeshemah K. Burrell, Parisa Pooyan, Hamid Garmestani, Karl I. Jacob
Summary: This study presents the crystallographic texture evolution of ultra high molecular weight polyethylene (UHMWPE) under uniaxial tension with different strains. The results show that the texture components change with the increase in strain and the (001)[010] texture component plays an important role in the mechanical properties of the samples.
Article
Engineering, Multidisciplinary
Chi-Sing Man
Summary: This article introduces the basic concepts and mathematical foundations of classical texture analysis, focusing on the harmonic method and the approach initiated by Roe. The orientation distribution function (ODF) is defined on the rotation group SO(3), and the Wigner D-functions are used instead of generalized spherical harmonics. The article also discusses tensorial Fourier expansion of the ODF and tensorial texture coefficients.
JOURNAL OF ELASTICITY
(2022)
Article
Materials Science, Multidisciplinary
Liangwen Xie, Xianyong Zhu, Yuexiang Fan, Song Yang, Cheng Jiang, Yulai Song
Summary: The B-fiber texture in friction-stir welding of Mg-4.6Al-1.2Sn-0.7Zn magnesium alloy was investigated using electron-backscatter diffraction technique. The {0001} base plane of texture tended to align with the effective geometric shear plane induced by the tool shoulder and the pin. The texture intensity showed a symmetric distribution in the shoulder-affected zone and gradually increased from the retreating side to the advancing side in the pin-affected zone. The non-uniform distribution of texture on the welded joint was attributed to inhomogeneous shear plastic strain and material transfer.
JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
(2022)
Article
Nuclear Science & Technology
M. G. Isaenkova, A. Tenishev, O. A. Krymskaya, S. D. Stolbov, V. V. Mikhal'chik, V. A. Fesenko, K. E. Klyukova
Summary: The study reveals that the anisotropic change in linear dimensions of cubic samples during heating and cooling is attributed to phase transformations and high anisotropy of expansion due to variations in zirconium content. Additionally, completely recrystallized samples exhibit significantly lower dimension variations at certain temperatures.
NUCLEAR MATERIALS AND ENERGY
(2021)
Article
Materials Science, Multidisciplinary
Qi Wu, Baoxing Yu, Peng Zhou, Tao Zhang, Fuhui Wang
Summary: The microstructure and corrosion resistance of phosphate conversion coatings on different surfaces of rolled AZ31 magnesium alloy vary due to differences in grain orientation. The electrochemical reactivity and nucleation rate play a key role in influencing the compactness and corrosion resistance of the coatings.
MATERIALS CHEMISTRY AND PHYSICS
(2021)
Article
Optics
Lingjie Fan, Maoxiong Zhao, Jiao Chu, Tangyao Shen, Minjia Zheng, Fang Guan, Haiwei Yin, Lei Shi, Jian Zi
Summary: We propose a new theory with three orientation parameters to describe the relationship between dipole orientation and power density in OLEDs. We also design a test structure to measure all three orientation parameters. Our theory provides a universal plot of dipole orientations in OLEDs, facilitating the design of more complex OLED devices.
CHINESE OPTICS LETTERS
(2023)
Article
Chemistry, Physical
Zheng Liu, ZiBo Zhao, Jianrong Liu, Qingjiang Wang, Zhenghua Guo, Yida Zeng, Guang Yang, Shuili Gong
Summary: The study identified columnar grain morphology and typical alpha texture in the Ti-6Al-4V alloy fabricated using electron beam rapid manufacturing (EBRM), leading to significant anisotropic tensile behavior. The crystallographic texture of alpha phase and spatial orientation of alpha laths were found to be main factors inducing anisotropic tensile properties in the alloy.
JOURNAL OF ALLOYS AND COMPOUNDS
(2021)
Article
Engineering, Multidisciplinary
Julieta L. Buroni, Federico C. Buroni
Summary: This article introduces a method for performing the orientational averaging of material tensors in textured polycrystals with symmetry belonging to the orthogonal group. The authors provide a simple formula that can be applied to crystallites with symmetry defined by any of the 32 crystallographic point groups. They demonstrate the equivalence between their proposed method and proper averaging on O(3) through a detailed proof. This method is practical and reliable for researchers working with crystalline materials.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Materials Science, Multidisciplinary
Brandon C. Templin, Adetokunbo A. Adedoyin, Koffi Enakoutsa, Douglas J. Bammann
Summary: This paper modifies an evolving micro-structural model of inelasticity to capture the evolving anisotropy resulting from underlying texture. Anisotropy is modeled with a second-order orientation tensor and its temporal evolution is naturally derived from the closure properties. A scalar variable defined by the Euclidean norm of the current state of the structure tensor and the direction of plastic deformation is incorporated in the flow rule. The model's predictions are compared with experimental data, and additional assessments comparing the model with and without textural effects are provided.
MATHEMATICS AND MECHANICS OF SOLIDS
(2022)
Article
Engineering, Geological
Sheng Jiang, Luming Shen, Francois Guillard, Itai Einav
Summary: X-ray computed tomography is a valuable tool for non-destructive inspection of internal damage in materials. A technique based on Fourier transform is used to quantitatively portray the distributions and orientations of complex fractures in three dimensions. The accuracy and reliability of the technique is confirmed through visual validation and matching of statistical results between two-dimensional and three-dimensional projections.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2021)
Proceedings Paper
Metallurgy & Metallurgical Engineering
Richard W. Fonda, David J. Rowenhorst
Summary: The crystallographic textures formed during additive manufacturing can be controlled by manipulating the grain nucleation and growth processes. The melt pool geometry and scan strategy play a crucial role in dictating the resulting textures. The ability to control the texture allows for location-specific control of properties in the build.
42ND RISO INTERNATIONAL SYMPOSIUM ON MATERIALS SCIENCE: MICROSTRUCTURAL VARIABILITY: PROCESSING, ANALYSIS, MECHANISMS AND PROPERTIES
(2022)
Article
Engineering, Mechanical
Mojia Huang, Chi-Sing Man
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2016)
Article
Engineering, Multidisciplinary
Chi-Sing Man
JOURNAL OF ELASTICITY
(2017)
Article
Engineering, Multidisciplinary
Wenwen Du, Chi-Sing Man
JOURNAL OF ELASTICITY
(2017)
Article
Chemistry, Physical
J. X. Zhang, C. Liu, W. C. Liu, C. -S. Man
JOURNAL OF ALLOYS AND COMPOUNDS
(2017)
Article
Materials Science, Multidisciplinary
Chi-Sing Man, Joe D. Goddard
MATHEMATICS AND MECHANICS OF SOLIDS
(2018)
Article
Acoustics
Yue Chen, Chi-Sing Man, Kazumi Tanuma, Christopher M. Kube
Article
Mathematics, Applied
Chi-Sing Man, Gen Nakamura, Kazumi Tanuma, Shengzhang Wang
IMA JOURNAL OF APPLIED MATHEMATICS
(2015)
Article
Engineering, Multidisciplinary
Ding Zhao, Chi-Sing Man
JOURNAL OF ELASTICITY
(2019)
Article
Chemistry, Physical
Diaoyu Zhou, Wenwen Du, Xiyu Wen, Junwei Qiao, Wei Liang, Fuqian Yang
Article
Engineering, Multidisciplinary
Chi-Sing Man, Ding Zhao
JOURNAL OF ELASTICITY
(2020)
Article
Engineering, Multidisciplinary
Chi-Sing Man, Wenwen Du
Summary: We propose a general and efficient method to derive various minimal representations of material tensors or pseudotensors for crystals. The method is based on harmonic and Cartan decompositions, and introduces orthonormal irreducible basis tensors in the chosen harmonic decomposition. We demonstrate how the method can lead to minimal representations under specific coordinate systems for crystals with non-trivial point group symmetry.
JOURNAL OF ELASTICITY
(2023)
Article
Engineering, Multidisciplinary
Chi-Sing Man
Summary: This article introduces the basic concepts and mathematical foundations of classical texture analysis, focusing on the harmonic method and the approach initiated by Roe. The orientation distribution function (ODF) is defined on the rotation group SO(3), and the Wigner D-functions are used instead of generalized spherical harmonics. The article also discusses tensorial Fourier expansion of the ODF and tensorial texture coefficients.
JOURNAL OF ELASTICITY
(2022)