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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 5    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 5,May 2012
Development of Higher Order Shear element for the static analysis of composite lamina using mat lab
Full Text(PDF, )  PP.1316-1318  
A.Venkateswarlu, Dr. V.K.Sharma, N.Ranganayakulu 
In this paper a higher order shear element, which is a 4 nodded quadrilateral element, is developed. This element is used for the static analysis of composite lamina. Using the Higher order shear deformation plate theory for basic displacement field equations, the B matrix, (Strain-Displacement relationship matrix) the D matrix (material matrix) and the resultant K (global stiffness matrix) are formulated. These B, D & K matrices were used in formulating the 4 nodded element with 3 degree of freedom at each node. This element was also formulated to incorporate 5 degrees of freedom per node to obtain increased accuracy in the analysis. MATLAB, a numerical analysis package, was used for the calculation of nodal displacements taking A. Ferreira [7] as basis for coding principles. The modeling was initially done for an isotropic material given by Chandraputla [5] then extending it for the composite lamina with different angles of orientations. Knowing the position of the quadrilateral in the coordinate system, geometrical dimensions, its material properties and the loads which it is being subjected to, the above said entity can be calculated. Developing a MATLAB code was meticulously done to make sure that all the formulations are rightly interpreted in the code. Eliminating rows and columns after removing corresponding constraints is one such example. This code is helpful in eliminating all the paper work that is needed to solve problems in FEM based on theory used and can obtain results as accurate and precise as possible. Complete terminology, sample problem included in this report ensures that any person novice to FEM and its formulation in MATLAB will understand the code and can successfully implement it for future purposes.
[1]. Mechanics of laminated composite plates and shells by J.N.Reddy

[2]. Finite element analysis by S.S Bhavikatti.

[3]. Mechanics of composite materials by Robert M. Jones.

[4]. Finite element analysis of composite laminates by O.O.Ochoa and J.N.Reddy.

[5]. Introduction to finite elements in engineering by Tirupathi R.Chandraputla and Ashok D.Belegundu.

[6]. Programming the Finite Element Method with Matlab by Jack Chessa.

[7]. Matlab codes for Finite Element Analysis by A. J. M Ferreira.

[8].The Finite Element Method R.L Taylor and O.C Zienkiewicz.

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