Basic Concepts, applicability and applications, basic equations of solid mechanics, boundary and initial conditions, Euler Lagrange equation, Generalization of finite element concepts.
Discretization, Interpolation models, weighted residual and variational approaches, Principle of minimum potential energy, principle of virtual work.
Element types– Line element (bar, truss, beam and frame element), Plane elements- Triangular, rectangular, quadrilateral, sector, Solid elements – tetrahedron and hexahedron.
Curved andiso-parametric elements, coordinate systems and numerical integration, Mesh generation.
Structural applications -line elements, two-dimensional stress analysis (Plane stress, plane strain and axisymmetric analysis),three dimensional stress analyses.
Application to field Problems – heat transfer, dynamics and fluid flow problems.
Laboratory Sessions: Introduction to Finite Element packages and its application to solid mechanics, fluid and heat transfer problems.