In this article, based on the Euler-Bernoulli beam theory, the large-amplitude vibration of multiwalled carbon nanotubes embedded in an elastic medium is investigated. The method of incremental harmonic balance is implemented to solve the set of governing nonlinear equations coupled via the van der Waals (vdW) interlayer force. The influences of number of tube walls, the elastic medium, nanotub...

In this paper, a new viscoelastic size-depended model developed based on a modified couple stress theory and the for nonlinear viscoelastic material in order to vibration analysis of a viscoelastic nanoplate. The material of the nanoplate is assumed to obey the Leaderman nonlinear constitutive relation and the von Kármán plate theory is employed to model the system. The viscous parts of the clas...

Accurate estimates of stress in an atherosclerotic lesion require knowledge of the material properties of its components (e.g., normal wall, fibrous plaque, calcified regions, lipid pools) that can only be approximated. This leads to considerable uncertainty in these computational predictions. A study was conducted to test the sensitivity of predicted levels of stress and strain to the paramete...

A probabilistic methodology has been developed for fracture-mechanics analysis of nonlinear cracked structures. The methodology involves nonlinear ®nite element analysis using well-known commercial codes; statistical models for uncertainty in material constitutive law, fracture toughness, and loads; and standard reliability methods for evaluating probabilistic characteristics of elastic±plastic...

2 Department of Physics, Texas A & M University, College Station, Texas 77843-4242, U.S.A. 3 General Physics Institute, Moscow 117942, Russia. 4 To whom correspondence should be addressed. E-mail: [email protected] High-amplitude nonlinear surface acoustic waves (SAWs) generated by laser pulses were observed in polycrystalline material (stainless steel), and the nonlinear acoustic p...

Structural engineering is a discipline with a distinguished history in its own right with its landmark monuments and famous personalities from centuries past to the present [1, 2]. Moreover, it is also a discipline that relies on rich nonlinear mathematics as its basis. The aim of this article to show some of the interesting features and practical relevance of nonlinear mathematics in the behav...

Elastography is developed as a quantitative approach to imaging linear elastic properties of tissues to detect suspicious tumors. In this paper a nonlinear elastography method is introduced for reconstruction of complex breast tissue properties. The elastic parameters are estimated by optimally minimizing the difference between the computed forces and experimental measures. A nonlinear adjoint ...

We report first experimental registration of the splitting induced generation of a soliton train from a single incident strain soliton in twoand three-layered elastic waveguides. The origin is in the nonlinear response of the wave to an abrupt change of physical properties of the waveguide. We show a good agreement between our experimental results and theoretical estimates, based on a weakly no...

Scanning probe microscope-enabled nanoindentation is increasingly reported as a means to assess the mechanical properties of nanoscale, compliant material volumes such as polymeric films and bio-membranes. It has been demonstrated experimentally that the Hertzian contact model developed for linear elastic materials of semi-infinite thickness fails to accurately predict the nominal elastic modul...