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20112023
most citedExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

46 citations · 148 across the 26 of their papers we have counts for

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Showing 2019Show all

9 papers · 1 filter

math.AP2019

Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model

Ionel-Dumitrel Ghiba, Patrizio Neff, Sebastian Owczarek

In this paper we use a property of the extension operator from the space of tangential traces of in the context of the linear relaxed micromorphic model, a…

math.AP20191 cited

Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature

Mircea Birsan, Ionel-Dumitrel Ghiba, Robert J. Martin +1

Using a geometrically motivated 8-parameter ansatz through the thickness, we reduce a three-dimensional shell-like geometrically nonlinear Cosserat material to a fully two-dimensio…

math.HO2019

The axiomatic introduction of arbitrary strain tensors by Hans Richter -- a commented translation of "Strain tensor, strain deviator and stress tensor for finite deformations"

Patrizio Neff, Kai Graban, Eva Schweickert +1

We provide a faithful translation of Hans Richter's important 1949 paper "Verzerrungstensor, Verzerrungsdeviator und Spannungstensor bei endlichen Formänderungen" from its original…

physics.app-ph2019

Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization

Patrizio Neff, Bernhard Eidel, Marco Valerio d'Agostino +1

We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is do…

math-ph2019

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…

physics.class-ph2019

Relaxed micromorphic broadband scattering for finite-size meta-structures -- a detailed development

Alexios Aivaliotis, Domenico Tallarico, Marco-Valerio D'Agostino +3

The conception of new metamaterials showing unorthodox behaviors with respect to elastic wavepropagation has become possible in recent years thanks to powerful dynamical homogeniza…