CMES-Vol. 71, No. 1, 2011

Open Access

ARTICLE

Drug Delivery: From a Contact Lens to the Anterior Chamber
J.A. Ferreira^2,3, P. de Oliveira², P. Silva⁴, J.N. Murta⁵
CMES-Computer Modeling in Engineering & Sciences, Vol.71, No.1, pp. 1-14, 2011, DOI:10.3970/cmes.2011.071.001
Abstract Mathematical models to describe drug concentration profiles of topically administered drug in the anterior chamber aqueous humor have been proposed by several authors. The aim of this paper is to present a mathematical model to predict the drug concentration in the anterior chamber when a therapeutical contact lens with the drug entrapped in nanoparticles is used. More >

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ARTICLE

Numerical Simulations for Coupled Pair of Diffusion Equations by MLPG Method
S. Abbasbandy^1,2, V. Sladek³, A. Shirzadi¹, J. Sladek³
CMES-Computer Modeling in Engineering & Sciences, Vol.71, No.1, pp. 15-38, 2011, DOI:10.3970/cmes.2011.071.015
Abstract This paper deals with the development of a new method for solution of initial-boundary value problems governed by a couple of nonlinear diffusion equations occurring in the theory of self-organization in non-equilibrium systems. The time dependence is treated by linear interpolation using the finite difference method and the semi-discrete partial differential equations are considered in a weak sense by using the local integral equation method with approximating 2-d spatial variations of the field variables by the Moving Least Squares. The evaluation techniques are discussed and the applicability of the presented method is demonstrated on two More >

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Stochastic Meshless Local Petrov-Galerkin (MLPG) Method for Thermo-Elastic Wave Propagation Analysis in Functionally Graded Thick Hollow Cylinders
Seyed Mahmoud Hosseini¹, Farzad Shahabian²,Jan Sladek³, Vladimir Sladek³
CMES-Computer Modeling in Engineering & Sciences, Vol.71, No.1, pp. 39-66, 2011, DOI:10.3970/cmes.2011.071.039
Abstract The thermo-elastic wave propagation based on Green-Naghdi (GN) coupled thermo-elasticity (without energy dissipation) is studied in a functionally graded thick hollow cylinder considering uncertainty in constitutive mechanical properties under thermal shock loading. The meshless local Petrov-Galerkin method accompanied with Monte-Carlo simulation is developed to solve the stochastic boundary value problem. In the presented method, the mechanical properties of FGM are considered to be as random variables with Gaussian distribution and mean values equal to deterministic values reported in previous works, which are generated using Monte-Carlo simulation with various coefficients of variations (COVs). The time evolution… More >

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ARTICLE

A New Molecular Structural Mechanics Model for the Flexural Analysis of Monolayer Graphene
G. Shi ¹, P. Zhao ¹
CMES-Computer Modeling in Engineering & Sciences, Vol.71, No.1, pp. 67-92, 2011, DOI:10.3970/cmes.2011.071.067
Abstract Based on molecular mechanics and the concept of flexible connection used in the flexibly connected frames, a new structural mechanics model, a 2-D frame composed of anisotropic beams and flexible connections, is proposed for the simulation of the static and dynamic flexural behavior of monolayer graphene. The equivalent beam representing the C-C bond in the new molecular structural mechanics (MSM) model has two salient features compared with other MSM models presented for the analysis of carbon nanotubes: one is that the flexible connections at the beam ends are used to account for the bond-angle variations… More >

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