UNIT 1:
History of the Finite Element Analysis, solid mechanics stress equilibrium equation
History of the Finite Element Analysis, solid mechanics stress equilibrium equation
Variation formulation in FEM – Rayleigh Ritz method
stress equilibrium equation, strain-displacement equations, stress-strain Temperature Relations
General FEA Process- FEA Solution Process.
General FEA Process- FEA Solution Process.
General FEA Process- FEA Solution Process.
stress equilibrium equation, strain-displacement equations, stress-strain Temperature Relations
Variation formulation in FEM – Rayleigh Ritz method
Weighted residual techniques
Weighted residual techniques
Weighted residual techniques
UNIT 2:
Types of 1D element, Displacement function, Global and local coordinate systems
Types of 1D element, Displacement function, Global and local coordinate systems
Boundary conditions elimination method and penalty approach, stress calculations- example problems.
Boundary conditions elimination method and penalty approach, stress calculations- example problems.
Transformation matrix for truss and plane frame, Assembly of global stiffness matrix and load vector
Formulation of element stiffness matrix and load vector for spring, bar, beam, truss and plane frame
Transformation matrix for truss and plane frame, Assembly of global stiffness matrix and load vector
Transformation matrix for truss and plane frame, Assembly of global stiffness matrix and load vector
UNIT 3:
Formulation of elemental stiffness matrix and load vector and load vector for Plane stress/strain
Constant Strain Triangles (CST), Pascal‗s triangle , primary and secondary variables, properties of shape functions.
Assembly of global stiffness matrix and load vector, Boundary conditions
Constant Strain Triangles (CST), Pascal‗s triangle , primary and secondary variables, properties of shape functions.
solving for primary variables (displacement) - example problems,
Overview of axi-symmetric elements.
Overview of axi-symmetric elements.
