Introduction to FEA, History of FEA, Engineering applications, advantages, General steps, Element types, Convergence criteria, Coordinate systems, Variation formulation in FEM – Weighted residual techniques and Rayleigh¬ Ritz method applied to simple problems , Gauss elimination method. Hyper mesh abaqus FEA t**l.

1᎓D barelement-shape function using natural coordinates and generalized coordinates, stiffness matrix of a 1- D bar element ᎓Springs – finite element formulation of stiffness matrix, load vector and assembly of global equations, Temperature effects᎓example problems. Stiffness matrix and finite element equation for a two node Truss element᎓ Beams – example problems.

Finite element modeling ᎓2-D element under plane stress and plane strain condition -shape function for the Constant Strain Triangular element using natural coordinates and generalized coordinates – strain displacement matrix of CST element ᎓ axisymmetric element – example problems – Two-Dimensional Modelling with NADCAP Requirements.

Basic equations of heat transfer – Shape function of 1-D heat conduction, stiffness matrix for 1-D heat conduction, with free end convection, with internal heat generation- assembly of global equations and load vector,Finite element formulation-Example problems. Higher order elements᎓Quadrilateral elements-Finite Element Method and Dynamic Temperature Control Modeling in Simulink.

Natural co-ordinate systems Isoparametric elements shape functions for a 2-D four noded and eight noded Isoparametric rectangular element using natural coordinate system -Numerical integration ᎓ Gaussian Quadrature ᎓ example problems- Introduction to scripting-based custom FEA: Python-based FEA model development ᎓ Machine Learning integration in FEA