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Finite Element Analysis: Procedures in Engineering
Finite Element Analysis: Procedures in Engineering Covers the basic concepts, mathematical models and computational algorithms that support the finite element method (FEM). It is a complete and self contained book which will enable comprehension of FEM as a numerical method for engineering analysis, and also provide insight into commercial finite element analysis (FEA) software to solve practical problems.
The topics covered include 1-D elements, 2-D continuum elements (booth triangular and quadrilateral in shape); creation of Co continuous interpolation functions and use of Gauss quadrature formulae to compute element matrices and vectors; higher order isoparametric elements; finite element modeling and analysis of axisymmetric solid bodies subjected to thermal and mechanical loads; 3-D continuum elements (of different shapes: tetrahedral, hexahedra, and pentahedra, and increasing orders: linear, quadratic and cubic); and application of FEM in the analysis of beams, plates and shells. General purpose FEA programs are briefly introduced, mainly with a focus on their organization and capabilities. Advanced applications of FEM are also identified.
Each chapter contains test problems and target solutions along with computational problems for home assignments.
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