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20112026
most citedA unifying perspective: the relaxed linear micromorphic continuum

281 citations · 921 across the 53 of their papers we have counts for

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Showing 2015Show all

8 papers · 1 filter

math.AP2015

The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless

Ingo Münch, Patrizio Neff, Angela Madeo +1

We show that the reasoning in favor of a symmetric couple stress tensor in Yang et al.'s introduction of the modified couple stress theory contains a gap, but we present a reasonab…

math.CA2015★ 16 cited

An ellipticity domain for the distortional Hencky-logarithmic strain energy

Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin

We describe ellipticity domains for the isochoric elastic energy $ F\mapsto \|{\rm dev}_n\log U\|^2=\bigg\|\log \frac{\sqrt{F^TF}}{(\det F)^{1/n}}\bigg\|^2 =\frac{1}{4}\,\bigg\|\lo…

math.AP2015★ 30 cited

Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case

Robert J. Martin, Ionel-Dumitrel Ghiba, Patrizio Neff

We show that in the two-dimensional case, every objective, isotropic and isochoric energy function which is rank-one convex on is already polyconvex on $\mathrm{…

math-ph2015★ 38 cited

A new view on boundary conditions in the Grioli-Koiter-Mindlin-Toupin indeterminate couple stress model

Angela Madeo, Ionel-Dumitrel Ghiba, Patrizio Neff +1

In this paper we consider the Grioli-Koiter-Mindlin-Toupin linear isotropic indeterminate couple stress model. Our main aim is to show that, up to now, the boundary conditions have…

math-ph2015★ 67 cited

On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush

Patrizio Neff, Ingo Münch, Ionel-Dumitrel Ghiba +1

In a series of papers which are either published [A.R. Hadjesfandiari and G.F. Dargush, Couple stress theory for solids, Int. J. Solids Struct. 48, 2496-2510, 2011; A.R. Hadjesfand…

math-ph2015★ 11 cited

A variant of the linear isotropic indeterminate couple stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and complete traction boundary conditions

Ionel-Dumitrel Ghiba, Patrizio Neff, Angela Madeo +1

In this paper we venture a new look at the linear isotropic indeterminate couple stress model in the general framework of second gradient elasticity and we propose a new alternativ…

math-ph2015★ 14 cited

Correct traction boundary conditions in the indeterminate couple stress model

Patrizio Neff, Ionel-Dumitrel Ghiba, Angela Madeo +1

In this paper we consider the Grioli-Koiter-Mindlin-Toupin indeterminatecouple stress model. The main aim is to show that the traction boundary conditions were not yet completely d…

math.CA2015★ 29 cited

The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity

Ionel-Dumitrel Ghiba, Patrizio Neff, Miroslav Silhavy

In this paper we improve the result about the polyconvexity of the energies from the family of isotropic volumetric-isochoric decoupled strain exponentiated Hencky energies defined…