Identifying the complete space of feasible anisotropic properties in polycrystalline microstructures

2021 ◽  
Author(s):  
Gwenaelle Proust
Keyword(s):  
Complete Space ◽  
Anisotropic Properties

scholarly journals Integrity basis for a second-order and a fourth-order tensor

1982 ◽  
Vol 5 (1) ◽  
pp. 87-96 ◽  
Author(s):  
Josef Betten
Keyword(s):  
Fourth Order ◽  
Second Order ◽  
Tensor Function ◽  
Order Tensor ◽  
Isotropic Tensor ◽  
Anisotropic Properties ◽  
Isotropic Tensor Function ◽  
Fourth Order Tensor

In this paper a scalar-valued isotropic tensor function is considered, the variables of which are constitutive tensors of orders two and four, for instance, characterizing the anisotropic properties of a material. Therefore, the system of irreducible invariants of a fourth-order tensor is constructed. Furthermore, the joint or simultaneous invariants of a second-order and a fourth-order tensor are found. In a similar way one can construct an integrity basis for a tensor of order greater than four, as shown in the paper, for instance, for a tensor of order six.

scholarly journals Structural, elastic, electronic, and anisotropic properties of Pbca-SiC and Pbcn-SiC

AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045107
Author(s):  
Linchun Kong ◽  
Changchun Chai ◽  
Yanxing Song ◽  
Wei Zhang ◽  
Zheren Zhang ◽  
...  
Keyword(s):  
Anisotropic Properties

Influence of antimony on the structural, electronic, mechanical, and anisotropic properties of cubic barium stannate

2020 ◽  
pp. 101868 ◽  
Author(s):  
Khandaker Monower Hossain ◽  
S.K. Mitro ◽  
Md. Anwar Hossain ◽  
Jibon Krishna Modak ◽  
Md. Rasheduzzaman ◽  
...  
Keyword(s):  
Anisotropic Properties ◽  
Barium Stannate

Synthesis of Multifunctional Micrometer-Sized Particles with Magnetic, Amphiphilic, and Anisotropic Properties

2011 ◽  
Vol 23 (20) ◽  
pp. 2348-2352 ◽  
Author(s):  
Siyoung Q. Choi ◽  
Se Gyu Jang ◽  
Andrew J. Pascall ◽  
Michael D. Dimitriou ◽  
Taegon Kang ◽  
...  
Keyword(s):  
Anisotropic Properties

Complete space-like hypersurfaces in locally symmetric Lorentz spaces

2004 ◽  
Vol 49 (2) ◽  
pp. 231-247 ◽  
Author(s):  
Jin Ok Baek ◽  
Qing-Ming Cheng ◽  
Young Jin Suh
Keyword(s):  
Lorentz Spaces ◽  
Complete Space

Effects of anisotropic properties on bursting behavior of rectangular cup with a V-notch

2016 ◽  
Vol 30 (9) ◽  
pp. 4259-4267
Author(s):  
Jeong-Tai Kim ◽  
Sang-Mok Kim ◽  
Beom-Soo Kang ◽  
Tae-Wan Ku
Keyword(s):  
Anisotropic Properties
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