2012
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DUAL BOUNDARY ELEMENT ANALYSIS OF CRACKED PLATES
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The dual boundary element method is formulated for the analysis of linear elastic cracked plates. The dual boundary integral equations of the method are the displacement and the traction equations. When these equations are simultaneously applied along the crack boundaries, general crack problems can be solved in a singleregion formulation, with both crack boundaries discretized with discontinuous boundary elements. The stress intensity factors evaluation is carried out by the Jintegral decomposition method which is applied on a circular path, defined around each crack tip. Examples of geometries with edge, and embedded cracks are analyzed. The accuracy and e_ciency of the dual boundary element method and the Jintegral make the present formulation ideal for the study of cracked plates.
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19


A.
Portela
Universidade deÉvora, Escola de Ciˆ encias e Tecnologia, 7004516Évora, Portugal.
Universidade deÉvora, Escola de Ciˆ
Iran
Dual boundary integral equations
Crack modelling
Computation of
HALL AND LONSLIP EFFECTS ON MAGNETOMICROPOLAR FLUID WITH COMBINED FORCED AND FREE CONVECTION IN BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE WITH VISCOUS DISSIPATION
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In this paper, we study the effects of Hall and ionslip currents on the steady magnetomicropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using quasilinearised first and finite difference method. The effects of various parameters of the problem, e.g. the magnetic parameter, Hall parameter, ion slip parameter, buoyancy parameter and material parameter and Eckert number are discussed and shown graphically.
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33


G.
Deepa
Chaitanya Bharathi Institute of Technology Gandipet, Hyderabad  500075
Assistant professor, Department of Mathematics
Chaitanya Bharathi Institute of Technology
Iran


N.
Kishan
Osmaina university, Hyderabad – 500007
Associate Professor, Department of Mathematics
Osmaina university, Hyderabad – 500007
Asso
Iran
Hall effects
Ionslip
buoyancy parameter
Eckert number
finite difference method
APPLICATION OF KRIGING METHOD IN SURROGATE MANAGEMENT FRAMEWORK FOR OPTIMIZATION PROBLEMS
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In this paper, Kriging has been chosen as the method for surrogate construction. The basic idea behind Kriging is to use a weighted linear combination of known function values to predict a function value at a place where it is not known. Kriging attempts to determine the best combination of weights in order to minimize the error in the estimated function value. Because the actual function value is not known, the error is modeled using probability theory and then minimized. The result is a linear system of equations that can be solved to ﬁnd a unique combination of weights for a given point at which interpolation is to be performed.
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44


B.
Azarkhalili
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Mathematics Department
Sharif University of Technology, Azadi Ave,
Iran


M.
Rasouli
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Electrical Engineering Department
Sharif University of Technology, Azadi Ave,
Iran


P.
Moghadas
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Aerospace Engineering Department
Sharif University of Technology, Azadi Ave,
Iran


B.
Mehri
Sharif University of Technology, Azadi Ave, Tehran, Iran
Department of Mathematics
Sharif University of Technology, Azadi Ave,
Iran
Surrogate Management Framework
Kriging
Computational Order
convergence
Gradient
AN ITERATIVE METHOD WITH SIXORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS
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Modiﬁcation of Newtons method with higherorder convergence is presented. The modiﬁcation of Newtons method is based on Frontinis threeorder method. The new method requires twostep per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and other methods.
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51


M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran


M.
Aminzadeh
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
Faculty of Sciences, Mazandaran University,
Iran
Nonline ar equation
ite rative metho d
Two step
Con vergence orde r
Eﬃc iency index
THE IDENTIFICATION OF EFFICIENCY BY USING FUZZY NUMBERS
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In original Data Envelopment Analysis (DEA) models for measuring the relative efficiencies of a set of Decision Making Units (DMUs) using various inputs to produce various outputs are limited to crisp data. To deal with imprecise data, the notion of fuzziness has been introduced. this paper develops a procedure to measure the efficiencies of DMUs with fuzzy observations. The basic idea is to transform a fuzzy DEA model to family of conventional crisp DEA models by applying optimistic, intermediate and pessimistic concepts. A numerical example is given to show the efficiency.
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59


M.
Sanei
Islamic Azad University, Central Tehran Branch, Iran.
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


R.
Dehghan
Islamic Azad University, MasjedSolyman Branch,Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, MasjedSolyman Branch,Ira
Iran


A.
Mahmoodi Rad
Islamic Azad University, MasjedSolyman Branch,Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, MasjedSolyman Branch,Ira
Iran
Data envelopment analysis
ANALYTICALNUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
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Using the meanvalue theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations which have not the unique solution too.
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69


J.
Rashidinia
Iran University of Science and Technology, Narmak, Tehran, Iran
Iran, Islamic Republic of
School of Mathematics
Iran University of Science and Technology,
Iran


A.
Parsa
Iran University of Science and Technology, Narmak, Tehran, Iran
Iran, Islamic Republic of
School of Mathematics
Iran University of Science and Technology,
Iran
Nonlinear integral equations Hammerstein equations mean value
THE RELATION BETWEEN TOPOLOGICAL ORDERING AND ADJACENCY MATRIX IN DIGRAPHS
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In this paper the properties of nodenode adjacency matrix in acyclic digraphs are considered. It is shown that topological ordering and nodenode adjacency matrix are closely related. In fact, first the one to one correspondence between upper triangularity of nodenode adjacency matrix and existence of directed cycles in digraphs is proved and then with this correspondence other properties of adjacency matrix in acyclic digraphs are presented.
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75


T.
Rastad
Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


N.
Delfan
Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran
adjacency matrix
topological ordering
acyclic digraph
ALTERNATIVE MIXED INTEGER PROGRAMMING FOR FINDING EFFICIENT BCC UNIT
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Data Envelopment Analysis (DEA) cannot provide adequate discrimination among efficient decision making units (DMUs). To discriminate these efficient DMUs is an interesting research subject. The purpose of this paper is to develop the mix integer linear model which was proposed by Foroughi (Foroughi A.A. A new mixed integer linear model for selecting the best decision making units in data envelopment analysis. Computers & Industrial Engineering 60 (2011) 550554) to present new alternative mix integer programming DEA (MIPDEA) models which can be used to improve discrimination power of DEA and select the most BCCefficient decision making unit (DMU). We will demonstrate that proposed model is able to select DMU throughout the real data sets.
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77
85


M.
Toloo
Islamic Azad University, Central Tehran Branch, Tehran, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


Z.
Khoshhal Nakhjiry
Islamic Azad University, Central Tehran Branch, Tehran, Iran
Iran, Islamic Republic of
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran
Data envelopment analysis
Mixed Integer Programming
eciency
common