1 citations · 1 across the 7 of their papers we have counts for
8 papers
A Cumulative Framework for Solid Deformation
Lev Steinberg
A cumulative variational framework for solid deformation is proposed. Its central organizing principle is the recursive combination of three structural components of one material b…
A variationally consistent mesoscopic Cosserat theory with distributed defects and configurational forces
Lev Steinberg
We develop a variationally consistent mesoscopic extension of Cosserat elasticity motivated by the breakdown of compatibility in classical formulations. By admitting compatibility-…
A Variational Formulation of Classical Cosserat Elasticity with Independent Coframe and Rotational Connection
Lev Steinberg
We present a geometric formulation of classical Cosserat elasticity in which the coframe and rotational connection are treated as independent variational fields. In contrast to con…
Simulation of Dislocation in Cosserat Elastic Plates
Lev Steinberg, Roman Kvasov
In this article we present the numerical simulation of a dislocation incorporated into a Cosserat plate. The simulation is based on the mathematical model for bending of Cosserat e…
Model Validation and Vibration Analysis of Cosserat Plates
Lev Steinberg, Roman Kvasov
In this paper we present the validation of our recently published mathematical model for the dynamics of Cosserat elastic plates. The validation is based on the comparison with the…
Finite Element Method for Cosserat Plates
Roman Kvasov, Lev Steinberg
This paper presents the Finite Element Method for Cosserat plates. The mathematical model for Cosserat elastic plates is based on the calculation of the optimal value of the splitt…
Elastic Plates Motions with Transverse Variation of Microrotation
Lev Steinberg
The purpose of this paper is to present a new mathematical model for the dynamics of thin Cosserat elastic plates. Our approach, which is based on a generalization of the classical…
Elastic Plate Deformation with Transverse Variation of Microrotation
Lev Steinberg
The purpose of this paper is to present a new mathematical model for the deformation of thin Cosserat elastic plates. Our approach, which is based on a generalization of the classi…