281 citations · 2.1k across the 125 of their papers we have counts for
26 papers · 1 filter
Cosserat micropolar elasticity: classical Eringen vs. dislocation form
Ionel-Dumitrel Ghiba, Gianluca Rizzi, Angela Madeo +1
In this paper we do a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin-Eringen-Nowacki description in terms of a…
The isotropic Cosserat shell model including terms up to . Part I: Derivation in matrix notation
Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1
We present a new geometrically nonlinear Cosserat shell model incorporating effects up to order in the shell thickness . The method that we follow is an educated 8-para…
Chirality in the plane
Christian G. Boehmer, Yongjo Lee, Patrizio Neff
It is well-known that many three-dimensional chiral material models become non-chiral when reduced to two dimensions. Chiral properties of the two-dimensional model can then be res…
Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformations
Christian G. Boehmer, Yongjo Lee, Patrizio Neff
We study the fully nonlinear dynamical Cosserat micropolar elasticity problem in space with three dimensionals with various energy functionals dependent on the microrotation $\over…
Grioli's Theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotations
Andreas Fischle, Patrizio Neff
Let and consider the right polar decomposition into an orthogonal factor and a symmetric, positive definite facto…
Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
L. Angela Mihai, Patrizio Neff
In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatib…