The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

this study investigates propagation of mode i crack in b70 pre-stressed concrete sleepers by fracture mechanics approach. a new experimental analysis is done for notched b70 pre-stressed concrete sleepers with replica test and image analysis. a scanning electron microscope test (sem) and an image analysis are applied for the replica test in order to determine crack length and crack mouth openin...

Several nonlinear eigenvalue problems modeling the steady-state deflection of an elastic membrane associated with a MEMS capacitor under a constant applied voltage are analyzed using formal asymptotic methods. The nonlinear eigenvalue problems under consideration represent various regular and singular perturbations of the basic membrane nonlinear eigenvalue problem ∆u = λ/(1 + u) in Ω with u = ...

ThomX is a compact machine based on the Compton back-scattering, which is being built by LAL in France. The ThomX ring has a short circumference of 16.8 m and a low design energy of 50 MeV, and the dipole bending radius of 0.352 m. With such a short bending radius, the nonlinear effects due to the second order dipole fringe field in the ring become non-trivial. In this paper, we discuss the app...

This paper describes studies done at Gemtex Laboratory on the modeling and simulation of woven fabric. The main difficulty in this area is to take into account the hysteresis phenomena that occurs in fabric’s traction, shearing and bending behavior. Part I of this paper presents a friction based approach to obtain a time-free model for this nonlinear phenomena. Part II presents the application ...

Optimal structural design of cylindrical shells under overall bending, torsion, tension and internal pressure in creep conditions is considered. The material is assumed to be governed by the Norton-Odqvist nonlinear steady creep law. Minimal weight of the shell is the design objective, radius and wall thickness are design variables, and the constraint refers to brittle creep rupture as describe...

The response of a short DNA segment to bending is studied, taking into account the anisotropy in the bending rigidities caused by the double-helical structure. It is shown that the anisotropy introduces an effective nonlinear twist-bend coupling that can lead to the formation of kinks and modulations in the curvature and/or in the twist, depending on the values of the elastic constants and the ...

An infinitesimal theory for bending and earthquaking in onedimensional dynamics is developed. It is shown that any tangent vector to Teichmuller space is the initial data for a bending and for an earthquaking ordinary differential equation. The discussion involves an analysis of infinitesimal bendings and earthquakes, the Hilbert transform, natural bounded linear operators from a Banach space o...

A nonlinear couple modeling of magnetostrictive cantilever is built by combining Gibb’s free energy formulation with the Euler-Bernoulli beam theory. The Gibb’s free energy corresponding to different orientations in 3D space can be expressed in terms of their direction cosines, the stress at a given point can be described by classical theory. The magnetomechanical bending experimental setup is ...

Motivated by recent free-standing graphene experiments, we show how thermal fluctuations affect the mechanical properties of microscopically thin solid ribbons, which can be many thousand times wider than their atomic thickness. A renormalization group analysis of flexural phonons reveals that elongated ribbons behave like highly anisotropic polymers, where the two dimensional nature of ribbons...