In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which model the behaviour of composite linear elastic materials. Analytical expressions for the effective coefficients are obtained for the case of layered materials using the theory of homogenisation....

An ordinary differential equation (ODE) form of the radial return algorithm, which is essentially a Prandtl-Reuss material model, is combined with a strain-rate hardening model to produce an ODE that describes deviatoric stress through a prescribed density rise. An analytical solution is found...

Lattice Boltzmann numerical simulations were performed to obtain the drag force on 3D fractal objects. The hydrodynamic radius Rh was calculated and compared with the radius of gyration Rg for a series of fractal aggregates to get an insight in to the role of the aggregate size and fractal...