The present work deals with applying the variational iteration method to the problem of the nonlinear vibrations of multiwalled carbon nanotubes embedded in an elastic medium. A multiple-beam model is utilized in which the governing equations of each layer are coupled with those of its adjacent ones via the van der Waals inter layer forces. The amplitude-frequency curves for large-amplitude vib...

We present a Landau-type theory for the nonlinear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the nonlinear elastic behavior of these materials to fiber alignment induced by strain. We suggest an application to contact guidance of cell motility in tissue. We compare our theory to simulation of a disordered ...

(Preliminary Report.) The model formulation and existence theory is described for diffusion of a barotropic fluid through a partially saturated poroelastic composite medium consisting of two components. This includes the Barenblatt-Biot doublediffusion model of elastic deformation and laminar flow in a fissured medium, such as consolidation processes in a system of fissures distributed througho...

One effect of nonlinear elasticity on elastic wave propagation is that the velocity of the elastic wave is a function of the applied stress on the material. This effect has been used to characterize the nonlinear elastic properties of numerous materials and is also important in attempts to nondestructively characterize residual and applied stress in materials. In addition, investigations have e...

One effect of nonlinear elasticity on elastic wave propagation is that the velocity of the elastic wave is a function of the applied stress on the material. This effect has been used to characterize the nonlinear elastic properties of numerous materials and is also important in attempts to nondestructively characterize residual and applied stress in materials. In addition, investigations have e...

Ships, ship-shaped offshore structures, land-based structures and aerospace structures typically consist of various curved beam and plate components. An important issue is how to manufacture and construct systems correctly and accurately when their variously shaped curved beams and plates display structural nonlinear behaviour. Multi-point forming is a general process that can be used to form v...

If the galaxy is born with a very weak seed eld, magnetic energy starts growing rapidly on scales smaller than the smallest turbulent eddies in the interstellar medium (ISM). The small scale eld acts like a tangled network of rubber bands, making the ISM elastic to large scale motions. The hydrodynamic shear modes of the interstellar turbulence, which start out with zero frequency, become Alfve...

In achieving accurate results, current nonlinear elastic recovery applications of finite element (FE) analysis have become more complicated for sheet metal springback prediction. In this paper, an artificial neural network (ANN) was used to mimic the nonlinear elastic recovery and provides a generalized solution in the FE analysis. The nonlinear elastic recovery was processed through back-propa...