45 citations · 97 across the 14 of their papers we have counts for
8 papers · 1 filter
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.
Gauge or not gauge?
Ruslan Sharipov
The analogy of the nonlinear dislocation theory in crystals and the electromagnetism theory is studied. The nature of some quantities is discussed.
A note on the kinematics of dislocations in crystals
Jeffrey Comer, Ruslan Sharipov
A part of the theory of dislocations in crystals is revised with the aim to fit it into the framework of the nonlinear theory of plasticity initially designed for amorphous glassy…
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)…