in the present study, modelling and vibration analysis of carbon nanotubes/ fiber/ polymer composite microplates are investigated. the governing equations of the carbon nanotubes/ fiber/ polymer composite microplates are derived based on first order shear deformation plate theory, rather than other plate theories, due to accuracy and simplicity of polynomial functions. the modified couple stres...

In this paper, we perform a systematic multiscale analysis for the three-dimensional incompressible Navier–Stokes equations with multiscale initial data. There are two main ingredients in our multiscale method. The first one is that we reparameterize the initial data in the Fourier space into a formal two-scale structure. The second one is the use of a nested multiscale expansion together with ...

We introduce a software tool to simulate multiscale models: the Multiscale Coupling Library and Environment 2 (MUSCLE 2). MUSCLE 2 is a component-based modeling tool inspired by the multiscale modeling and simulation framework, with an easy-to-use API which supports Java, C++, C, and Fortran. We present MUSCLE 2’s runtime features, such as its distributed computing capabilities, and its benefit...

Article history: Received 1 March 2013 Accepted 30 June 2013 Available online 12 July 2013

Multiscale modelling as an emerging modelling paradigm is now widely regarded as a promising and powerful tool in various disciplines. However, a multiscale model is usually much more difficult to develop than a single-scale model due to a range of challenges. This work presents a methodology to facilitate the development of multiscale models, which comprises three main modelling steps, namely ...

In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information. This way it is possible to perform numerical simulations in which the trajectories and the density ...

The “equation-free” approach has been proposed in recent years as a general framework for developing multiscale methods to efficiently capture the macroscale behavior of a system using only the microscale models. In this paper, we take a close look at some of the algorithms proposed under the “equation-free” umbrella, the projective integrators and the patch dynamics. We discuss some very simpl...

Prospects for development of science-intensive industrial sectors demand to carry out new researches of physicochemical processes in extreme conditions and in the design of new materials. The development of predictive modeling at an atomic-molecular level is becoming particularly relevant in recent time. Nowadays such approaches have become possible due to improvements in modern supercomputer t...

A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...

Multiscale phenomena are ubiquitous in nature as well in laboratories. A broad range of interacting space and time scales determines the dynamics of many systems which are inherently multiscale. In most research disciplines multiscale phenomena are not only prominent, but also they have often played the dominant role. In the solar wind magnetosphere interaction, multiscale features coexist alon...