Dissertation Project:

Working title: Analytical solutions in the relaxed micromorphic model

Research interests:

• Linear elasticity
• Cosserat media
• Mathematical analysis

Published Articles:

Gianluca Rizzi, Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Open Access: Archive of Applied Mechanics (2023), Vol. 93(1), pp. 5-21
arXiv: 2107.09644 abstract

Marco Valerio d'Agostino, Gianluca Rizzi, Hassam Khan, Peter Lewintan, Angela Madeo, Patrizio Neff
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
Open Access: Continuum Mechanics and Thermodynamics (2022); DOI: https://doi.org/10.1007/s00161-022-01126-3
arXiv: 2112.12050 abstract

Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects
Open Access: Wave Motion (2022), 110, 102898
arXiv: 2104.13143 abstract

Gianluca Rizzi, Geralf Hütter, Hassam Khan, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Open Access: Mathematics and Mechanics of Solids (2022), Vol. 27(3), pp. 507-553
arXiv: 2107.09644 abstract

Aarti Khurana, Suman Bala, Hassam Khan, Sushil K. Tomar, Patrizio Neff
On the dispersion of waves for the linear thermoelastic relaxed micromorphic model
Journal of Thermal Stresses; (2020) Vol. 43(1), pp. 3-20
arXiv: 1811.05878v2 pdf
Our relevant corrected version is arXiv version 2.

Najeeb Alam Khan, Hassam Khan, Syed Anwar Ali
Exact solutions for MHD flow of couple stress fluid with heat transfer
Journal of the Egyptian Mathematical Society, (2016) 24, pp. 125–129
Original Articlepdf

Najeeb Alam Khan, Hassam Khan
Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics
Nonlinear Engineering; Modeling and Application, (2014) 3 (4), pp. 209-214
Original Articlepdf

Najeeb Alam Khan, Hassam Khan
A Boundary layer flows of non-Newtonian Williamson fluid
Nonlinear Engineering, Modeling and Application, (2014); 3(2),  pp. 107-115
Original Articlepdf

Asmat Ara, Najeeb Alam Khan, Hassam Khan, Faquha Sultan
Radiation effect on boundary layer flow of an Eyring–Powell fluid over an exponentially shrinking sheet
Ain Shams Engineering Journal, (2014) 5, pp. 1337-1342
Original Articlepdf