Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids
We derive a dimension-reduction limit for a three-dimensional rod with material voids by means of [Formula: see text]-convergence. Hereby, we generalize the results of the purely elastic setting [M. G. Mora and S. Müller, Derivation of the nonlinear bending-torsion theory for inextensible rods by [Formula: see text]-convergence, Calc. Var. Partial …