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math-ph2026
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…
math-ph2026
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-…
math-ph2026
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…