Finite element formulations for beam, plate, shell (Kirchhoff and Mindlin-Reissner), and solid ele- ments – large deformation nonlinearity – nonlinear bending of beams and plates – stress and strain measures – total Lagrangian and updated Lagrangian formulations – material nonlinearity – ideal and strain hardening plasticity – elastoplastic analysis – boundary nonlinearity – general contact formulations – solution procedures for nonlinear analysis, Newton-Raphson iteration method.

The variational principle and the derivation of the governing equations of static and dynamic systems – different energy methods: Rayleigh-Ritz, Galerkin etc. – applications: problems of stress analysis, determination of deflection in determinate and indeterminate structures, stability and vibrations of beams, columns and plates of constant and varying cross-sectional area.

Review of planar motion of rigid bodies and Newton-Euler equations of motion; constraints – holo- nomic and non-holonomic constraints, Newton-Euler equations for planar inter connected rigid bod- ies; D’Alembert’s principle, generalized coordinates; alternative formulations of analytical mechanics and applications to planar dynamics – Euler-Lagrange equations, Hamilton’s equations and ignorable coordinates, Gibbs-Appel and Kane’s equations; numerical solution of differential and differential al- gebraic equations; spatial motion of a rigid body – Euler angles, rotation matrices, quaternions

Review of tensor algebra – tensor analysis – concept of continuum – kinematics of a deformable body – deformation and strain – motion and flow – analysis of stress-stress tensors – conservation laws, mass and momentum conservation – continuum thermodynamics – first and second laws applied to a continuum – Clausius-Duhem inequality – constitutive relations – applications.

Introduction to static and dynamic aeroelastic phenomena – divergence, control efficiency and control reversal – two dimensional analysis – divergence of unswept wings – effect of sweep on divergence and control reversal – two-dimensional (airfoil) flutter analysis with quasi-steady and unsteady aero- dynamic loads – introduction to buffeting, stall flutter, galloping and vortex-induced oscillations problems.

1. Strain measurements

2. Structural vibration

3. Wave propagation

4. Fabrication and testing of laminated composites

5. Static and stability behaviour of thin-walled structures

6. Non-destructive testing

7. Structural modelling and analysis in CAE environment