Elements of Tensor Spaces

2020 ◽  
pp. 838-838
Keyword(s):  
Tensor Spaces

Linear transformations on tensor spaces

1983 ◽  
Vol 14 (1) ◽  
pp. 3-9 ◽  
Author(s):  
G. H. Chan ◽  
M. M. Lim
Keyword(s):  
Linear Transformations ◽  
Tensor Spaces

scholarly journals Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes

2016 ◽  
Vol 22 (9) ◽  
pp. 1847-1865 ◽  
Author(s):  
N Auffray ◽  
B Kolev ◽  
M Olive
Keyword(s):  
General Problem ◽  
Strain Gradient ◽  
Gradient Elasticity ◽  
Strain Gradient Elasticity ◽  
Symmetry Classes ◽  
Different Types ◽  
Tensor Spaces ◽  
Harmonic Decomposition ◽  
Physical Laws ◽  
Physical Phenomena

To investigate complex physical phenomena, bi-dimensional models are often an interesting option. It allows spatial couplings to be produced while keeping them as simple as possible. For linear physical laws, constitutive equations involve the use of tensor spaces. As a consequence the different types of anisotropy that can be described are encoded in tensor spaces involved in the model. In the present paper, we solve the general problem of computing symmetry classes of constitutive tensors in [Formula: see text] using mathematical tools coming from representation theory. The power of this method is illustrated through the tensor spaces of Mindlin strain-gradient elasticity.

scholarly journals On tensor spaces over Hecke algebras of type Bn

2006 ◽  
Vol 304 (1) ◽  
pp. 602-611 ◽  
Author(s):  
Jun Hu ◽  
Zhiqiang Li
Keyword(s):  
Hecke Algebras ◽  
Tensor Spaces
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