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Zhang, M. M.*; Tian, Y. L.*; Wang, Y. S.*; Zhang, Z. Y.*; Gan, Z. G.*; Yang, H. B.*; Huang, M. H.*; Ma, L.*; Yang, C. L.*; Wang, J. G.*; et al.
Physical Review C, 106(2), p.024305_1 - 024305_6, 2022/08
Times Cited Count:2 Percentile:52.69(Physics, Nuclear)Xu, Z.*; Dai, G.*; Li, Y.*; Yin, Z.*; Rong, Y.*; Tian, L.*; Liu, P.*; Wang, H.*; Xing, L.*; Wei, Y.*; et al.
npj Quantum Materials (Internet), 5(1), p.11_1 - 11_7, 2020/02
Times Cited Count:4 Percentile:40.81(Materials Science, Multidisciplinary)Kawano, Toshihiko*; Cho, Y. S.*; Dimitriou, P.*; Filipescu, D.*; Iwamoto, Nobuyuki; Plujko, V.*; Tao, X.*; Utsunomiya, Hiroaki*; Varlamov, V.*; Xu, R.*; et al.
Nuclear Data Sheets, 163, p.109 - 162, 2020/01
Times Cited Count:80 Percentile:99.62(Physics, Nuclear)Tam, D. M.*; Song, Y.*; Man, H.*; Cheung, S. C.*; Yin, Z.*; Lu, X.*; Wang, W.*; Frandsen, B. A.*; Liu, L.*; Gong, Z.*; et al.
Physical Review B, 95(6), p.060505_1 - 060505_6, 2017/02
Times Cited Count:23 Percentile:71.49(Materials Science, Multidisciplinary)Tian, R.; Yagawa, Genki
International Journal for Numerical Methods in Engineering, 71(4), p.473 - 503, 2007/07
Times Cited Count:16 Percentile:69.76(Engineering, Multidisciplinary)Rewards of using non-matching meshes are great in many aspects: sub-meshing a complex structure in a sub-structure-wise manner separately; selective local refinement; unlimited scalability guarantee for generating meshes, etc. However, when meshes do not match, a gluing algorithm is required to enforce inter-domain continuity. The non-matching mesh issue is avoidable or does not exist in a node-based or meshless discretization in meshless methods. Motivated by this, a gluing algorithm is developed based on meshless interpolation. The gluing is accomplished by continuous trial and test functions across non-matching meshes constructed using nodes only. Compared with Lagrange multiplier gluing - one of the most common approaches - the current algorithm has two significant benefits: (1) easier implementation in any dimension and (2) positive definite banded system matrices, not acting against equation solvers, and hence better suited for large-scale finite element analysis.
Tian, R.; Yagawa, Genki
International Journal for Numerical Methods in Engineering, 69(4), p.837 - 858, 2007/01
Times Cited Count:19 Percentile:73.54(Engineering, Multidisciplinary)A simplification of the 1984 Allman triangle is presented. It is found that this old element takes a typical form of the partition of unity approximation. The Allman's rotation presented in the partition of unity form offers merits and convenience in formulation and practical applications. The stiffness matrix of the 1984 Allman triangle, which is originally computed from the linear strain triangular element, can be obtained instead in a cheaper way from that of the constant strain triangular element. The constraint of the rotational terms during essential boundary treatment, which remains equivocal and ambiguous, is understood to be mandatory. The partition of unity notion enables a straightforward extension of the Allman's rotational dof to meshfree approximations.
Tian, R.; Matsubara, Hitoshi; Yagawa, Genki
International Journal for Numerical Methods in Engineering, 68(12), p.1209 - 1231, 2006/12
Times Cited Count:30 Percentile:79.75(Engineering, Multidisciplinary)Tetrahedral elements are indispensable to complex finite element structural analysis. Two existing and two newly developed advanced 4-node tetrahedrons are studied in this paper. The existing elements that use complicated displacement fields are significantly simplified. The spurious zero-energy modes typical of all these elements are identified to be rigid-body-alike modes and are found to be naturally suppressible, making it possible to avoid any stabilization techniques and unknown parameters in formulation. Through the simplified form, we connect these four tetrahedrons and view them in a general framework of the partition-of-unity-based approximation. This general view allows us to reveal many promising features of the newly developed tetrahedrons by comparing them with their existing counterparts: the newly developed tetrahedrons have straightforward formulation.
Tian, R.; Nakajima, Norihiro; Yagawa, Genki
Keisan Kogaku Koenkai Rombunshu, 10(1), p.393 - 396, 2005/05
A known problem of partition of unity-based generalized finite element methods (referred to as GFEM) is the linear dependence problem, which leads to singular global (stiffness) matrices. Thus far, attempts to eliminate the linear dependence problem have been unsuccessful. Numerical experiments are carried out among several GFEMs to investigate the problem. Based on the numerical experiments, simple but effective approaches to eliminating the linear dependence problem are suggested.
Tian, R.; Nakajima, Norihiro; Yagawa, Genki
Keisan Kogaku Koenkai Rombunshu, 10(1), p.397 - 400, 2005/05
An attempt is made to treat boundary conditions in EFGM through only nodal arrangements. One of major merits of the proposed nodal arrangement scheme is its straightforwardness in implementation. The accuracy of this nodal arrangement boundary treatment and its influence on convergence are assessed by comparing with the Lagrange multiplier and penalty methods using one- and two- dimensional problems. The nodal arrangement scheme shows a same performance as the Lagrange multiplier and penalty methods in the one-dimensional tests, but it evidently outperforms the penalty method in the two-dimensional tests.
Chung, J.-H.*; Proffen, T.*; Shamoto, Shinichi; Ghorayeb, A. M.*; Croguennec, L.*; Tian, W.*; Sales, B. C.*; Jin, R.*; Mandrus, D.*; Egami, Takeshi*
Physical Review B, 71(6), p.064410_1 - 064410_11, 2005/02
Times Cited Count:77 Percentile:90.04(Materials Science, Multidisciplinary)LiNiO (S=1/2) forms a triangular lattice with the possible magnetic frustration, but the exact state of spin correlation has not yet been known. While there is no signature of long-range Jahn-Teller distortion, local JT distortion has been suspected. We have performed neutron diffraction and atomic pair-density function analyses up to unprecedented large distances to discover a number of unusual features, such as anomalous peak broadening, local JT distortion, sharp oxygen-oxygen distance correlations, and inverted temperature dependence of medium range correlation. These observations are best explained by local orbital ordering of Ni ions into three sublattices. This orbital ordering, however, cannot develop into long-range order because of the strain field it generates, and domains of about 10 nm in size are formed. Domains are susceptible to random pinning by impurities ssite disorderd resulting in the loss of structural long-range order. We suggest that this local orbital ordering is the basis for the complex magnetic properties observed in this compound.
Kikuchi, Wataru*; Akiba, Miyuki*; Hotta, Akitoshi*; Alexander, K.*; Walter, V.*; Sevostian, B.*; Matsumoto, Toshinori
no journal, ,
To develop the analytical models for jet breakup and debris bed formation, we are conducting experiments that simulate these behaviors. Various uncertainty items associate to the experiment were clarified, and the reflection in the analysis model was examined.