scholarly journals Affine structures on Lie groupoids

2020 ◽  
Vol 307 (2) ◽  
pp. 353-382
Author(s):  
Honglei Lang ◽  
Zhangju Liu ◽  
Yunhe Sheng
Keyword(s):  
Lie Groupoids ◽  
Affine Structures

scholarly journals Lie groupoids as generalized atlases

2004 ◽  
Vol 2 (5) ◽  
pp. 624-662 ◽  
Author(s):  
Jean Pradines
Keyword(s):  
Lie Groupoids

A novel model for the interpretation of small-angle scattering experiments of self-affine structures

2009 ◽  
Vol 43 (1) ◽  
pp. 12-16 ◽  
Author(s):  
Gerald J. Schneider ◽  
D. Göritz
Keyword(s):  
Small Angle ◽  
Analytical Description ◽  
Small Angle Scattering ◽  
Filled Rubber ◽  
Angle Scattering ◽  
Affine Structures ◽  
Novel Theory ◽  
First Time ◽  
Novel Model ◽  
Solid Spheres

A novel theory is presented which allows, for the first time, the analytical description of small-angle scattering experiments on anisotropic shaped clusters of nanoparticles. Experimentally, silica-filled rubber which is deformed is used as an example. The silica can be modelled by solid spheres which form clusters. The experiments demonstrate that the clusters become anisotropic as a result of the deformation whereas the spheres are not affected. A comparison of the newly derived model function and the experiments provides, for the first time, microscopic evidence of the inhomogeneous deformation of clusters in the rubbery matrix.

scholarly journals On the existence of global bisections of Lie groupoids

2009 ◽  
Vol 25 (6) ◽  
pp. 1001-1014 ◽  
Author(s):  
De Shou Zhong ◽  
Zhuo Chen ◽  
Zhang Ju Liu
Keyword(s):  
Lie Groupoids

scholarly journals Crossover from Self-Similar to Self-Affine Structures in Percolation

1994 ◽  
Vol 26 (6) ◽  
pp. 413-418 ◽  
Author(s):  
E Frey ◽  
U. C Täuber ◽  
F Schwabl
Keyword(s):  
Affine Structures ◽  
Self Similar

Fracture of Nanophase Ceramics: A Molecular-Dynamics Study

1996 ◽  
Vol 457 ◽  
Author(s):  
Aiichiro Nakano ◽  
Rajiv K. Kalia ◽  
Andrey Omeltchenko ◽  
Kenji Tsuruta ◽  
Priya Vashishta
Keyword(s):  
Molecular Dynamics ◽  
Silicon Nitride ◽  
Load Balancing ◽  
Molecular Dynamics Simulations ◽  
Dynamic Fracture ◽  
Parallel Computers ◽  
Fracture Surfaces ◽  
Affine Structures ◽  
Dynamics Simulations ◽  
Multiscale Algorithms

ABSTRACTNew multiscale algorithms and a load-balancing scheme are combined for molecular-dynamics simulations of nanocluster-assembled ceramics on parallel computers. Million-atom simulations of the dynamic fracture in nanophase silicon nitride reveal anisotropie self-affine structures and crossover phenomena associated with fracture surfaces.

Generalised Heaps as Affine Structures

2017 ◽  
pp. 147-169
Author(s):  
Christopher D. Hollings ◽  
Mark V. Lawson
Keyword(s):  
Affine Structures
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