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Cosserat micropolar elasticity: classical Eringen vs. dislocation form
Ionel-Dumitrel Ghiba, Gianluca Rizzi, Angela Madeo and Patrizio Neff Journal of Mechanics of Materials and Structures 18(1) 93 (2023) https://doi.org/10.2140/jomms.2023.18.93
Optimal incompatible Korn–Maxwell–Sobolev inequalities in all dimensions
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Gianluca Rizzi, Geralf Hütter, Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo and Patrizio Neff Mathematics and Mechanics of Solids 27(3) 507 (2022) https://doi.org/10.1177/10812865211023530
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions
Peter Lewintan and Patrizio Neff Proceedings of the Royal Society of Edinburgh: Section A Mathematics 152(6) 1477 (2022) https://doi.org/10.1017/prm.2021.62
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields
Peter Lewintan and Patrizio Neff Mathematical Methods in the Applied Sciences 44(14) 11392 (2021) https://doi.org/10.1002/mma.7498
Existence results for non‐homogeneous boundary conditions in the relaxed micromorphic model
Ionel‐Dumitrel Ghiba, Patrizio Neff and Sebastian Owczarek Mathematical Methods in the Applied Sciences 44(2) 2040 (2021) https://doi.org/10.1002/mma.6913
A note on local higher regularity in the dynamic linear relaxed micromorphic model
Sebastian Owczarek, Ionel‐Dumitrel Ghiba and Patrizio Neff Mathematical Methods in the Applied Sciences 44(18) 13855 (2021) https://doi.org/10.1002/mma.7661
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensor
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics
Sebastian Owczarek, Ionel-Dumitrel Ghiba, Marco-Valerio d’Agostino and Patrizio Neff Mathematics and Mechanics of Solids 24(10) 3200 (2019) https://doi.org/10.1177/1081286519838311
A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector
Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: New perspectives towards metastructural design
Angela Madeo, Gabriele Barbagallo, Manuel Collet, Marco Valerio d’Agostino, Marco Miniaci and Patrizio Neff Mathematics and Mechanics of Solids 23(12) 1485 (2018) https://doi.org/10.1177/1081286517728423
Well-posedness for the microcurl model in both single and polycrystal gradient plasticity
Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardening
François Ebobisse, Patrizio Neff and Elias C Aifantis The Quarterly Journal of Mechanics and Applied Mathematics 71(1) 99 (2018) https://doi.org/10.1093/qjmam/hbx026
First-Order System Least-Squares for Interface Problems
On the role of micro-inertia in enriched continuum mechanics
Angela Madeo, Patrizio Neff, Elias C. Aifantis, Gabriele Barbagallo and Marco Valerio d’Agostino Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2198) 20160722 (2017) https://doi.org/10.1098/rspa.2016.0722
Mathematical Modelling in Solid Mechanics
Angela Madeo, Patrizio Neff, Gabriele Barbagallo, Marco Valerio d’Agostino and Ionel-Dumitrel Ghiba Advanced Structured Materials, Mathematical Modelling in Solid Mechanics 69 89 (2017) https://doi.org/10.1007/978-981-10-3764-1_6
Real wave propagation in the isotropic-relaxed micromorphic model
Patrizio Neff, Angela Madeo, Gabriele Barbagallo, et al. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473(2197) 20160790 (2017) https://doi.org/10.1098/rspa.2016.0790
Transparent anisotropy for the relaxed micromorphic model: Macroscopic consistency conditions and long wave length asymptotics
Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers
A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model
Angela Madeo, Gabriele Barbagallo, Marco Valerio d’Agostino, Luca Placidi and Patrizio Neff Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472(2190) 20160169 (2016) https://doi.org/10.1098/rspa.2016.0169
The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions
Sebastian Bauer, Dirk Pauly and Michael Schomburg SIAM Journal on Mathematical Analysis 48(4) 2912 (2016) https://doi.org/10.1137/16M1065951