activity
20182025
most citedAnalytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

32 citations · 38 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2025

Propagation of Love waves in linear elastic isotropic Cosserat materials

Marius Apetrii, Emilian Bulgariu, Ionel-Dumitrel Ghiba +2

We investigate the propagation of Love waves in an isotropic half-space modelled as a linear {elastic isotropic} Cosserat material. To this aim, we show that a method commonly used…

math.AP2023

Rayleigh waves in isotropic elastic materials with micro-voids

Emilian Bulgariu, Ionel-Dumitrel Ghiba, Hassam Khan +1

In this paper, we show that a general method introduced by Fu and Mielke allows to give a complete answer on the existence and uniqueness of a subsonic solution describing the prop…

math.AP2021

The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters

Marco Valerio d'Agostino, Gianluca Rizzi, Hassam Khan +3

We consider the classical Mindlin-Eringen linear micromorphic model with a new strictly weaker set of displacement boundary conditions. The new consistent coupling condition aims a…

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.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…

math.CA2020★ 32 cited

Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

Gianluca Rizzi, Geralf Hütter, Angela Madeo +1

We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow t…

math.AP2018★ 6 cited

On the dispersion of waves for the linear thermoelastic relaxed micromorphic model

Aarti Khurana, Suman Bala, Hassam Khan +2

We present the complete set of constitutive relations and field equations for the linear thermoelastic relaxed micromorphic continuum and investigate its variants for wave propagat…