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Papers by Husain al-Gahtani

Applied Mathematical Modelling, Jan 1, 2016

This paper demonstrates the use of a well-known meshless method, radial basis functions (RBF), to... more This paper demonstrates the use of a well-known meshless method, radial basis functions (RBF), to solve the torsion of a prismatic bar having a rectangular/square cross-section. First part of the analysis deals with the elastic solution of the problem formulated using the RBF technique. The result is used in verifying the feasibility of the approach and, subsequently, as an initial guess for the iterative procedure utilized in the analysis of the elasto-plastic torsional behavior of the bar. Verification of the results is made using finite difference method (FDM), method of fundamental solutions (MFS) and the exact elastic solution.

Journal of Pressure Vessel Technology, Feb 2016

Parametric study of the thin shell solution of internally pressurized spherical vessel–cylindrica... more Parametric study of the thin shell solution of internally pressurized spherical vessel–cylindrical nozzle juncture is used to develop simplified closed-form formulas of stress concentration factor (SCF) as functions of the key vessel–nozzle geometric parameters known to influence the solution. The SCF values are not based on the vessel stresses alone; nozzle stresses are also analyzed and the corresponding SCF determined. Therefore, for a given vessel–nozzle juncture, the designer will be left with adequate information upon which to decide the controlling SCF. Predictions by the proposed equations are validated using finite element method (FEM). Consequently, design charts are presented based on both the vessel's and nozzle's SCF as predicted by the proposed expressions.

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Engineering Analysis With Boundary Elements, 2009

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Practice Periodical on Structural Design and Construction, 2009

Journal of Structural Engineering, 1996

International Journal of Mechanical Engineering Education, 2008

Engineering Analysis with Boundary Elements, 2012

This paper presents a meshless method for the solution of problems in finite elasticity. The meth... more This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.

Construction and Building Materials, 2016

Journal of Pressure Vessel Technology, 2015

Applied Mathematical Modelling, 2015

Cement and Concrete Composites, 2015

ABSTRACT

Engineering Analysis with Boundary Elements, 2015

Applied Mathematics and Computation, 2014

In this paper, solution is obtained for the free vibration differential equations of motion of an... more In this paper, solution is obtained for the free vibration differential equations of motion of an axially loaded beam on elastic foundation using a meshless method. Use is made of the multiquadrics radial basis function (RBF) in obtaining the numerical solution for four different cases: (1) one end clamped, the other end simply supported; (2) both ends clamped;

Engineering Analysis with Boundary Elements, 2001

Iterative domain decomposition coupling is one of the recent approaches for combining the boundar... more Iterative domain decomposition coupling is one of the recent approaches for combining the boundary element method (BEM) and the finite element method (FEM). The domain of the original problem is subdivided into two sub-domains, which are separately modeled by the FEM and BEM. Successive renewal of the variables on the interface of the two sub-domains is performed through an iterative

Engineering Analysis with Boundary Elements, 2009

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Engineering Analysis with Boundary Elements, 2007

A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflecti... more A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incrementaliterative procedure. The accuracy and efficiency of the method is verified through several numerical examples. r

Computer Methods in Applied Mechanics and Engineering, 2002

In this work, we analyze three available domain decomposition methods. We also establish the conv... more In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are

Arabian Journal for Science and Engineering, 2012

... Azad and Qureshi [4] developed a computer program to find the optimum design of three-span co... more ... Azad and Qureshi [4] developed a computer program to find the optimum design of three-span continuous post-tensioned beams of a ... Since the cost of prestressing steel Cps depends on the volume of prestressing steel Vp, which is proportional to the prestressing force of ...

Applied Mathematical Modelling, Jan 1, 2016

This paper demonstrates the use of a well-known meshless method, radial basis functions (RBF), to... more This paper demonstrates the use of a well-known meshless method, radial basis functions (RBF), to solve the torsion of a prismatic bar having a rectangular/square cross-section. First part of the analysis deals with the elastic solution of the problem formulated using the RBF technique. The result is used in verifying the feasibility of the approach and, subsequently, as an initial guess for the iterative procedure utilized in the analysis of the elasto-plastic torsional behavior of the bar. Verification of the results is made using finite difference method (FDM), method of fundamental solutions (MFS) and the exact elastic solution.

Journal of Pressure Vessel Technology, Feb 2016

Parametric study of the thin shell solution of internally pressurized spherical vessel–cylindrica... more Parametric study of the thin shell solution of internally pressurized spherical vessel–cylindrical nozzle juncture is used to develop simplified closed-form formulas of stress concentration factor (SCF) as functions of the key vessel–nozzle geometric parameters known to influence the solution. The SCF values are not based on the vessel stresses alone; nozzle stresses are also analyzed and the corresponding SCF determined. Therefore, for a given vessel–nozzle juncture, the designer will be left with adequate information upon which to decide the controlling SCF. Predictions by the proposed equations are validated using finite element method (FEM). Consequently, design charts are presented based on both the vessel's and nozzle's SCF as predicted by the proposed expressions.

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Engineering Analysis With Boundary Elements, 2009

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Practice Periodical on Structural Design and Construction, 2009

Journal of Structural Engineering, 1996

International Journal of Mechanical Engineering Education, 2008

Engineering Analysis with Boundary Elements, 2012

This paper presents a meshless method for the solution of problems in finite elasticity. The meth... more This paper presents a meshless method for the solution of problems in finite elasticity. The method is based on coupling the method of fundamental solutions (MFS) with dual reciprocity method (DRM). The solution is obtained by adding the homogeneous solution generated by MFS to the particular solution obtained by the radial basis function employed in DRM. The procedure has the advantage of eliminating domain integration. The proposed method is tested through two numerical examples that confirm its efficiency and accuracy.

Construction and Building Materials, 2016

Journal of Pressure Vessel Technology, 2015

Applied Mathematical Modelling, 2015

Cement and Concrete Composites, 2015

ABSTRACT

Engineering Analysis with Boundary Elements, 2015

Applied Mathematics and Computation, 2014

In this paper, solution is obtained for the free vibration differential equations of motion of an... more In this paper, solution is obtained for the free vibration differential equations of motion of an axially loaded beam on elastic foundation using a meshless method. Use is made of the multiquadrics radial basis function (RBF) in obtaining the numerical solution for four different cases: (1) one end clamped, the other end simply supported; (2) both ends clamped;

Engineering Analysis with Boundary Elements, 2001

Iterative domain decomposition coupling is one of the recent approaches for combining the boundar... more Iterative domain decomposition coupling is one of the recent approaches for combining the boundary element method (BEM) and the finite element method (FEM). The domain of the original problem is subdivided into two sub-domains, which are separately modeled by the FEM and BEM. Successive renewal of the variables on the interface of the two sub-domains is performed through an iterative

Engineering Analysis with Boundary Elements, 2009

An efficient meshless formulation is presented for large deflection of thin plates with immovable... more An efficient meshless formulation is presented for large deflection of thin plates with immovable edges. In this method, a fifth-order polynomial radial basis function (RBF) is used to approximate the solution variables. The governing equations are formulated in terms of the three displacement components u, v and w. The solution is obtained by satisfying three coupled partial differential equations and their boundary conditions inside the domain and over the boundary of the plate, respectively. The collocation procedure produces a system of coupled non-linear algebraic equations, which are solved using an incremental-iterative procedure. The numerical efficiency of the proposed method is illustrated through numerical examples.

Engineering Analysis with Boundary Elements, 2007

A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflecti... more A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incrementaliterative procedure. The accuracy and efficiency of the method is verified through several numerical examples. r

Computer Methods in Applied Mechanics and Engineering, 2002

In this work, we analyze three available domain decomposition methods. We also establish the conv... more In this work, we analyze three available domain decomposition methods. We also establish the convergence conditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are

Arabian Journal for Science and Engineering, 2012

... Azad and Qureshi [4] developed a computer program to find the optimum design of three-span co... more ... Azad and Qureshi [4] developed a computer program to find the optimum design of three-span continuous post-tensioned beams of a ... Since the cost of prestressing steel Cps depends on the volume of prestressing steel Vp, which is proportional to the prestressing force of ...