This study primarily deals with introducing an efficient numerical technique called the Complementary Functions Method (CFM) for the solutions of the initial value problem for the linear elastic analysis of anisotropic rotating uniform discs. To bring the performance of the method to light, first, closed form formulas are derived for such discs. The governing equation of the problem at stake is...

Wurtzite ZnO hexagonal micro-pyramids, with all exposed surfaces being polar +/- (0001) and {1011} planes, have been successfully synthesized using ionic liquids as solvents.

We study quasi-static deformation of dense granular packings. In the reference configuration, a granular material is under confining stress (prestress). Then the packing is deformed by imposing external boundary conditions, which model engineering experiments such as shear and compression. The deformation is assumed to preserve the local structure of neighbors for each particle, which is a real...

A lattice of elastic Rayleigh rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then subject incremental time-harmonic dynamic motion. At certain threshold levels axial load, the grillage manifests instabilities displays non-trivial flexural vibrations. Floquet-Bloch wave asymptotics is used homogenize in-plane mechanical response...

We study quasi-static deformation of dense granular packings. In the reference configuration, a granular material is under confining stress (prestress). Then the packing is deformed by imposing external boundary conditions, which model engineering experiments such as shear and compression. The deformation is assumed to preserve the local structure of neighbors for each particle, which is a real...

Non-planar solid-fluid-solid interfaces under stress are very common in many industrial and natural materials. For example, in the Earth’s crust, many rough and wavy interfaces can be observed in rocks in a wide range of spatial scales, from undulate grain boundaries at the micrometer scale, to stylolite dissolution planes at the meter scale. It is proposed here that these initially flat solid-...

Abstract Reliable evaluation of mechanical response in a porous solid might be challenging without any simplified assumptions. Peridynamics (PD) perform very well on medium including pores owing to its definition, which is valid for entire domain regardless existed discontinuities. Accordingly, porosity defined by randomly removing the PD interactions between material points. As wave propagatio...