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20202026
most citedPrimal and mixed finite element formulations for the relaxed micromorphic model

26 citations · 52 across the 16 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math-ph2023★ 2 cited

An essay on deformation measures in isotropic thin shell theories. Bending versus curvature

Ionel-Dumitrel Ghiba, Peter Lewintan, Adam Sky +1

It has become commonplace for the stored energy function of any realistic shell model to align ``within first order" with the classical Koiter membrane-bending (flexural) shell mod…

math.AP2023★ 11 cited

Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple

Panos Gourgiotis, Gianluca Rizzi, Peter Lewintan +4

We derive the Green's functions (concentrated force and couple in an infinite space) for the isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model parti…

math.NA2023

Novel -conforming finite elements for the relaxed micromorphic sequence

Adam Sky, Michael Neunteufel, Peter Lewintan +2

In this work we construct novel -conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the…

math.NA2023

A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations

Adam Sky, Michael Neunteufel, Jack S. Hale +1

In this work we develop new finite element discretisations of the shear-deformable Reissner--Mindlin plate problem based on the Hellinger-Reissner principle of symmetric stresses.…

math.NA2023★ 2 cited

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…