Results 61 to 70 of about 1,345,655 (169)
ABSTRACT Large deformations can become an important issue in induction heating applications, especially for structures with low bending stiffness, such as thin sheets. In such cases, thermal expansion induces not only substantial in‐plane stresses but also out‐of‐plane buckling, which in turn strongly influences the electromagnetic field configuration.
Vladimir Filkin +2 more
wiley +1 more source
A dispersive wave equation using nonlocal elasticity [PDF]
International audienceNonlocal continuum mechanics allows one to account for the small length scale effect that becomes significant when dealing with micro- or nano-structures.
Challamel, Noël +7 more
core +1 more source
Airy's functions in nonlocal elasticity
Nanostructured devices and materials, such as carbon nanotubes, Atomic Force Microscope, MEMS, etc. attract increasing attention in the scientific world. It has been realized that the classical elasticity is not capable to capture the mechanical behavior
Altan B.S., BurhanettinS. Altan
core +1 more source
On the stability of Bravais lattices and their Cauchy–Born approximations [PDF]
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability
Hudson, Thomas +3 more
core +1 more source
Existence result for a nonlocal viscous Cahn-Hillard equation with a degenerate mobility [PDF]
We study a diffusion model of phase field type, consisting of a system of two partial differential equations of second order for the particle densities and the viscosity variable, coupled by a nonlocal drift term.
Farshbaf-Shaker, Hassan
core +1 more source
The strain gradient elasticity via nonlocal considerations
Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories intensively used over the last fifty years to explain static and dynamic phenomena that classical elasticity fails to do.
Aggelis, D. G., Polyzos, D., Gortsas, T.
core
Wave solutions in nonlocal integral beams [PDF]
Wave propagation in slender beams is addressed in the framework of nonlocal continuum mechanics. The elastodynamic problem is formulated exploiting consistent methodologies of pure integral, mixture and nonlocal strain gradient elasticity.
Barretta, Raffaele +3 more
core +1 more source
The static and dynamic behaviour of a nonlocal bar of finite length is studied in this paper. The nonlocal integral models considered in this paper are strain-based and relative displacement-based nonlocal models; the latter one is also labelled as a peridynamic model.
openaire +1 more source
Forced vibration of nanorods using nonlocal elasticity
Present study interests with the longitudinal forced vibration of nanorods. The nonlocal elasticity theory of Eringen is used in modeling of nanorods. Uniform, linear and sinusoidal axial loads are considered.
Arda, Mustafa, Aydogdu, Metin
core +1 more source
Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body [PDF]
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core

