281 citations · 2.1k across the 125 of their papers we have counts for
148 papers
From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterials
Gianluca Rizzi, Marco Valerio d'Agostino, Jendrik Voss +3
Mechanical metamaterials have recently gathered increasing attention for their uncommon mechanical responses enabling unprecedented applications for elastic wave control. To model…
A global higher regularity result for the static relaxed micromorphic model on smooth domains
Dorothee Knees, Sebastian Owczarek, Patrizio Neff
We derive a global higher regularity result for weak solutions of the linear relaxed micromorphic model on smooth domains. The governing equations consist of a linear elliptic syst…
A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: Discretization with geometric finite elements
Lisa Julia Nebel, Oliver Sander, Mircea Bîrsan +1
We investigate discretizations of a geometrically nonlinear elastic Cosserat shell with nonplanar reference configuration originally introduced by Bîrsan, Ghiba, Martin, and Neff i…
The Gamma limit of the simple shear problem in nonlinear Cosserat elasticity
Thomas Blesgen, Patrizio Neff
The zero and first order Gamma-limit of vanishing internal length scale are studied for the mechanical energy of a shear problem in geometrically nonlinear Cosserat elasticity. The…
Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model
Adam Sky, Ingo Muench, Gianluca Rizzi +1
The relaxed micromorphic model is a generalized continuum model that is well-posed in the space . Consequently, finite element formulations…
Korn-Maxwell-Sobolev inequalities for general incompatibilities
Franz Gmeineder, Peter Lewintan, Patrizio Neff
We establish a family of coercive Korn-type inequalities for generalised incompatible fields in the superlinear growth regime under sharp criteria. This extends and unifies several…