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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…
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…