research

This paper compares the variational iteration method (VIM), the Adomian decomposition method (ADM) and the Picard iteration method (PIM) for solving a system of first order nonlinear ordinary differential equations (ODEs). A unification of the concepts underlying these three methods is attempted by considering a very general iterative algorithm for VIM. It is found that all the three methods can be regarded as special cases of using a very general matrix of Lagrange multipliers in the iterative algorithm of VIM.

A recently published paper in mechanical properties of graphene polymer nanocomposites via MD simulations, by Chang-Tsan Lu, Asanka Weerasinghe, Dimitrios Maroudas and Ashwin Ramasubramaniam.

<p>We consider the scattering of incident plane-wave electrons from a defect in a crystal modeled by the time-harmonic Schrödinger equation. While the defect potential is localized, the far-field potential is periodic, unlike standard free-space scattering problems. Previous work on the Schrödinger equation has been almost entirely in free-space conditions; a few works on crystals have been in one-dimension. We construct absorbing boundary conditions for this problem using perfectly matched layers in a tight-binding formulation.

Recently, we have published a series of nine papers about modelling fatigue and damage in short fiber composites.  Together, they provide a complete description of modelling of such materials including wavy fiber composites; starting from appropriate homogenization method to component level fatigue simulation. Discussion and feedback on the papers is welcome.

 Hello

I`d like to write a UHYPER for photo-thermal sensitive hydrogels described in the thermodynamic framework. But the photo-chemical term in the energy equation is 7order greater than the others. The other terms are related to stretch and mixing energy they exist also in the temperature sensitive hydrogels energy equations and their UHYPER is valid.  I have checked all the coefficients, their orders are all correct.

Is it something wrong with modeling, or I have made a mistake?

Paper Accepted for Publication in Smart Materials and Structures

N. Sanchez, V. Meruane, A. Ortiz-Bernardin, “A novel impact identification algorithm based on a linear approximation with maximum entropy.”

ABSTRACT