45 citations · 100 across the 11 of their papers we have counts for
23 papers
Tensor functions of tensors and the concept of extended tensor fields
Ruslan Sharipov
Tensor fields depending on other tensor fields are considered. The concept of extended tensor fields is introduced and the theory of differentiation for such fields is developed.
Course of differential geometry
Ruslan Sharipov
This book is a textbook for the basic course of differential geometry. It is recommended as an introductory material for this subject.
Burgers space versus real space in the nonlinear theory of dislocations
Ruslan Sharipov
Some double space tensorial quantities in the nonlinear theory of dislocations are considered. Their real space counterparts are introduced.
Separation of plastic deformations in polymers based on elements of general nonlinear theory
Sergei F. Lyuksyutov, Ruslan A. Sharipov
We report a method for describing plasticity in a broad class of amorphous materials. The method is based on nonlinear (geometric) deformation theory allowing the separation of the…
Exact analytical solution for electrostatic field produced by biased atomic force microscope tip dwelling above dielectric-conductor bi-layer
Sergei F. Lyuksyutov, Ruslan A. Sharipov, Grigori Sigalov +1
An exact analytical solution based on the method of images has been obtained for the description of the electrostatic field in the system comrising of atomic force microscope (AFM)…
Course of linear algebra and multidimensional geometry
Ruslan Sharipov
This is a standard textbook for the course of linear algebra and multidimensional geometry as it was taught in 1991-1998 at Mathematical Department of Bashkir State University. Bot…