10 research outputs found
Nonlocal continuum mechanics formulation for axial, flexural, shear and contraction coupled wave propagation in single walled carbon nanotubes
Imperfections in non-local elasticity
In non-local elasticity the stress at a reference point depends not only on the strain at this point but also on strains at all other points of the body. Various type imperfections are investigated in the frame-work of this theory. The non-local stresses have no singularities in contrat to the corresponding classical results which yield infinite stresses and divergent energies and cannot describe the situation in the strongly distorted region in the vicinity of the defect
Fractional heat conduction equation for an infinitely generalized, thermoelastic, long solid cylinder
Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment
Two-dimensional axisymmetric stresses exerted by instantaneous pulses and sources of diffusion in an infinite space in a case of time-fractional diffusion equation
Indirect magnetic interaction in the “net fractal” systems
61.43.Hv Fractals; macroscopic aggregates, 75.30.Hx Magnetic impurity interactions,
Scaling Laws for Properties of Materials with Imperfect Interfaces
Surfaces/interfaces have a profound effect on the properties of nanostructured and heterogeneous materials due to the large ratio of Surface/interface atoms to the bulk. Imperfect interfaces widely exist in conventional composites and nanostructured materials. This paper shows that when imperfect interfacial bonding conditions are taken into account, some intrinsic length scales emerge. Thus, in contrast to the perfectly-bonded interfaces, the effective properties of heterogeneous materials containing inhomogeneities with imperfect interfaces become dependent upon the, size of the inhomogeneities. This size-dependence is shown to be captured by simple scaling laws depending upon the type of the interface imperfection.Engineering, CivilEngineering, MechanicalMathematics, AppliedEICPCI-S(ISTP)