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RISNonlocal modeling and buckling features of cracked nanobeams with von Karman nonlinearity
Buckling and postbuckling behaviors of cracked nanobeams made of single-crystalline nanomaterials are
investigated. The nonlocal elasticity theory is used to model the nonlocal interatomic effects on the beam’s performance accounting...
Thermal Vibration of Nanobeams Based on Exact Non-local Stress Theory
Free vibration of nanobeams including the effect of temperature change is investigated based
on the exact nonlocal stress theory. By applying the variational principle, the higher order
governing equation with the corresponding...
Path valued branching processes and nonlocal branching superprocesses
Estimates of heat kernels for non-local regular Dirichlet forms
Deriving relativistic Bohmian potential using variational method and conformal transformations
variational method.
Then, we see that this background potential is the same as the Bohmian non-local quantum potential.
This approach gives a method stronger than Bohm’s original method in deriving Bohmian quantum
potential. We do not use...
VIBRATION ANALYSIS OF CURVED SINGLE-WALLED CARBON NANOTUBES EMBEDDED IN AN ELASTIC MEDIUM BASED ON NONLOCAL ELASTICITY
In this paper, the flexural vibration of the curved single-walled carbon nanotube (SWCNT) is investigated, based on the nonlocal Euler-Bernoulli beam model. The SWCNT is assumed to be embedded in an elastic medium. Both Winkler-type and Pasternak...
Free vibration of carbon nanotubes conveying viscous fluid using nonlocal Timoshenko beam model
The flexural vibration of carbon nanotubes (CNTs) conveying viscous fluid is investigated by the nonlocal Timoshenko beam model. The frequencies are obtained using the Galerkin method. Studying the influence of the fluid viscosity on the fundamental...