Finally, the combined effects of shear strains, material gradient and elastic foundations on the non-dimensional frequency parameters of conical shells with various geometric characteristics in the framework of FOSDT are studied.
The profound effect of parameters like material gradients (piezoelectric, dielectric and elastic) and width of the layers, on the phase velocity of Love type wave are presented graphically.
Then, using the most general model for an isotropic gradient elastic material, the displacement formulation is employed to solve the governing equations of the nanotube-reinforced matrix problem.
The effects of material gradient and orthotropy, and the two-parameter elastic foundations on the dimensional frequency parameters (DFPs) are investigated.
Cracks propagating parallel or perpendicular to material gradient direction have been analysed assuming linear-elastic behaviour.
The homogenization results obtained by Bacca et al. (2013a), to identify the effective second-gradient elastic materials from heterogeneous Cauchy elastic solids, are extended here to the case of phases having non-isotropic tensors of inertia.
To this goal, the deflections of fiber composite plates subjected to a bending loading under plane strain conditions are numerically evaluated and compared to the corresponding ones provided by the bending of the same plates homogenized as gradient elastic materials.
It is further observed that there exist similarities between the shear and rotary inertia corrections in the governing equations of motion for bars, beams and plates and the additions of micro-elastic (gradient elastic) and micro-inertia terms in the classical elastic material behavior in order to have wave dispersion in the above structures.
J. Solids Struct. 1, 417 438, 1965, proposed two enhanced strain gradient elastic theories to describe linear elastic behavior of isotropic materials with micro-structural effects.
Gradient elastic flexural Kirchhoff plates under static loading are considered.
