DUAL BOUNDARY ELEMENT ANALYSIS OF CRACKED PLATES
A.
Portela
Universidade deÉvora, Escola de Ciˆ encias e Tecnologia, 7004-516Évora, Portugal.
author
text
article
2012
eng
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 single-region formulation, with both crack boundaries discretized with discontinuous boundary elements. The stress intensity factors evaluation is carried out by the J-integral 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 J-integral make the present formulation ideal for the study of cracked plates.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
1
19
http://ijm2c.iauctb.ac.ir/article_521781_1ffc6dc634575a075111fb4ef91c577d.pdf
HALL AND LON-SLIP EFFECTS ON MAGNETO-MICROPOLAR FLUID WITH COMBINED FORCED AND FREE CONVECTION IN BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE WITH VISCOUS DISSIPATION
G.
Deepa
Chaitanya Bharathi Institute of Technology Gandipet, Hyderabad - 500075
Assistant professor, Department of Mathematics
author
N.
Kishan
Osmaina university, Hyderabad – 500007
Associate Professor, Department of Mathematics
author
text
article
2012
eng
In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar 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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
21
33
http://ijm2c.iauctb.ac.ir/article_521782_938833ac8f3c2bd1de05c93d78f5fe78.pdf
APPLICATION OF KRIGING METHOD IN SURROGATE MANAGEMENT FRAMEWORK FOR OPTIMIZATION PROBLEMS
B.
Azarkhalili
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Mathematics Department
author
M.
Rasouli
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Electrical Engineering Department
author
P.
Moghadas
Sharif University of Technology, Azadi Ave, Tehran, Iran
Iran, Islamic Republic of
Aerospace Engineering Department
author
B.
Mehri
Sharif University of Technology, Azadi Ave, Tehran, Iran
Department of Mathematics
author
text
article
2012
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
35
44
http://ijm2c.iauctb.ac.ir/article_521783_2dcfc23cecf6d197cca235f2805c8bff.pdf
AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS
M.
Matinfar
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
author
M.
Aminzadeh
Faculty of Sciences, Mazandaran University, Iran
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2012
eng
Modiﬁcation of Newtons method with higher-order convergence is presented. The modiﬁcation of Newtons method is based on Frontinis three-order method. The new method requires two-step 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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
45
51
http://ijm2c.iauctb.ac.ir/article_521784_d3e3d98af89b588ee86c9e8c7d45728d.pdf
THE IDENTIFICATION OF EFFICIENCY BY USING FUZZY NUMBERS
M.
Sanei
Islamic Azad University, Central Tehran Branch, Iran.
Iran, Islamic Republic of
Department of Mathematics
author
R.
Dehghan
Islamic Azad University, Masjed-Solyman Branch,Iran
Iran, Islamic Republic of
Department of Mathematics
author
A.
Mahmoodi Rad
Islamic Azad University, Masjed-Solyman Branch,Iran
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2012
eng
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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
53
59
http://ijm2c.iauctb.ac.ir/article_521785_41b84f105f4149405f8bc12552f598e4.pdf
ANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
J.
Rashidinia
Iran University of Science and Technology, Narmak, Tehran, Iran
Iran, Islamic Republic of
School of Mathematics
author
A.
Parsa
Iran University of Science and Technology, Narmak, Tehran, Iran
Iran, Islamic Republic of
School of Mathematics
author
text
article
2012
eng
Using the mean-value 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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
61
69
http://ijm2c.iauctb.ac.ir/article_521786_239a280f7f33b556a7a21709cc4b1132.pdf
THE RELATION BETWEEN TOPOLOGICAL ORDERING AND ADJACENCY MATRIX IN DIGRAPHS
T.
Rastad
Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Iran, Islamic Republic of
Department of Mathematics
author
N.
Delfan
Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2012
eng
In this paper the properties of node-node adjacency matrix in acyclic digraphs are considered. It is shown that topological ordering and node-node adjacency matrix are closely related. In fact, first the one to one correspondence between upper triangularity of node-node 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.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
71
75
http://ijm2c.iauctb.ac.ir/article_521787_1ec4d41012f01c65157099257d53db72.pdf
ALTERNATIVE MIXED INTEGER PROGRAMMING FOR FINDING EFFICIENT BCC UNIT
M.
Toloo
Islamic Azad University, Central Tehran Branch, Tehran, Iran
Iran, Islamic Republic of
Department of Mathematics
author
Z.
Khoshhal Nakhjiry
Islamic Azad University, Central Tehran Branch, Tehran, Iran
Iran, Islamic Republic of
Department of Mathematics
author
text
article
2012
eng
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) 550-554) to present new alternative mix integer programming DEA (MIP-DEA) models which can be used to improve discrimination power of DEA and select the most BCC-efficient decision making unit (DMU). We will demonstrate that proposed model is able to select DMU throughout the real data sets.
International Journal of Mathematical Modelling & Computations
Islamic Azad University, Central tehran Branch
2228-6225
2
v.
1 (WINTER)
no.
2012
77
85
http://ijm2c.iauctb.ac.ir/article_521788_2050f8a85231566500f06ee6053571a0.pdf