Advanced Finite Element Method
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Advanced Finite Element Method Syllabus — Unit-wise Content
The official GTU curriculum for Advanced Finite Element Method (subject code 3730907) as prescribed for M(D · Semester 3 divides the course into 6 units, covering 41 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3730907)Unit 1 Review of linear FEA
- FE formulation of 1D bar, 3D linear elastic continuum
- 2D plane strain
- plane stress, and axisymmetric elements
- Iso-parametric mapping
- numerical integration
Unit 2 FE formulation for 1D plasticity
- Elastic-perfectly plastic material
- Isotropic and kinematic hardening
- Integration algorithms for 1D plasticity
- FE formulation
- Newton-Raphson method for solving nonlinear equilibrium equations
- 1D visco-plasticity and integration algorithm
Unit 3 Continuum theories of plasticity
- Review of tensor algebra
- Yield condition
- flow rule and hardening rules
- loading and unloading conditions
- Drucker’s stability postulates
- Convexity and normality
- J2 flow theory of plasticity and visco-plasticity
- Gurson model
Unit 4 FE procedures for 2D and 3D plasticity
- Integration algorithms for rate independent plasticity—explicit forward Euler and implicit backward Euler
- Return mapping algorithm
- FE formulation
- Consistent linearization
- Algorithmic and consistent tangent modulii
- Treatment of incompressible deformation (Locking)
- B-bar method
Unit 5 FE procedures for large deformation problems
- Continuum mechanics—deformation gradient
- polar decomposition
- Green- Lagrange strain
- rate of deformation
- Cauchy stress
- Balance laws
- Principle of objectivity and isotropy
- Constitutive equations for hyperelasticity
- Neo-Hookean model
- FE formulation—Total Lagrangian and updated Lagrangian descriptions
- Tangent Stiffness Matrix
- Introduction to finite strain plasticity
Unit 6 Contact Problems
- Condition of impenetrability
- Gap elements for modelling contact
- Tangent stiffness matrix and force vectors for 2D frictionless contact problems. 06 Subject Code: 3730907 w.e.f
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