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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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physics.class-ph2021

Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Hassam Khan, Ionel-Dumitrel Ghiba +2

We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identificat…

math.AP2021★ 1 cited

Morrey's conjecture for the planar volumetric-isochoric split. Part I: least convex energy functions

Jendrik Voss, Robert J. Martin, Ionel-Dumitrel Ghiba +1

We consider Morrey's open question whether rank-one convexity already implies quasiconvexity in the planar case. For some specific families of energies, there are precise condition…

math.CA2021

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 +3

We solve the St.Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphi…

math.AP2021

Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects

Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo +1

We discuss the propagation of surface waves in an isotropic half space modelled with the linear Cosserat theory of isotropic elastic materials. To this aim we use a method based on…